Micky mouse Poisson problem. More...

Inheritance diagram for PoissonProblem< ELEMENT >:

Public Member Functions
	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor. More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	actions_before_newton_convergence_check ()
	Bump up counter for number of Newton iterations. More...

unsigned	newton_count ()
	Report number of Newton iterations taken. More...

void	doc_solution (DocInfo &doc_info)
	Doc the solution: doc_info contains labels/output directory etc. More...

RefineableRectangularQuadMesh< ELEMENT > *	mesh_pt ()

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

RefineableRectangularQuadMesh< ELEMENT > *	mesh_pt ()

void	actions_before_newton_convergence_check ()
	Bump up counter for number of Newton iterations. More...

unsigned	newton_count ()
	Report number of Newton iterations taken. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const string &mesh_file_name, const string &curve_file_name)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

GeompackQuadMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 3 >::PoissonSourceFctPt source_fct_pt, const string &node_file_name, const string &element_file_name, const string &face_file_name)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TetgenMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (const unsigned &nplot, DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const string &node_file_name, const string &element_file_name, const string &poly_file_name)
	Constructor for Poisson problem. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const string &node_file_name, const string &element_file_name, const string &poly_file_name)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const double element_size, const unsigned domain_configuration)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

void	actions_before_adapt ()
	Apply actions before adapt (empty) More...

void	actions_after_adapt ()
	Apply actions after adapt. More...

void	actions_before_distribute ()
	Apply actions before distribute (same as actions before adapt) More...

void	actions_after_distribute ()
	Apply actions after distribute (same as actions after adapt) More...

RefineableTriangleMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (DocInfo &doc_info, ofstream &trace_file)
	Doc the solution. More...

void	build_mesh ()
	Required function to perform load balancing, create the mesh. More...

void	read_custom_distribution_from_file (Vector< unsigned > &output_distribution)
	Read the distribution data. More...

void	save_custom_distribution_to_file (Vector< unsigned > &input_distribution)
	Saves the custom distribution to file. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

void	actions_before_adapt ()

void	actions_after_adapt ()
	Actions that are to be performed after a mesh adaptation. More...

RefineableTriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info, ofstream &trace_file)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

void	actions_before_adapt ()

void	actions_after_adapt ()
	Actions that are to be performed after a mesh adaptation. More...

RefineableTriangleMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. More...

void	doc_solution (DocInfo &doc_info, ofstream &trace_file)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

RefineableRectangularQuadMesh< ELEMENT > *	mesh_pt ()

void	actions_before_newton_convergence_check ()
	Bump up counter for number of Newton iterations. More...

unsigned	newton_count ()
	Report number of Newton iterations taken. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const unsigned &n_power)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	set_problem_is_nonlinear ()
	Treat the problem as being nonlinear. More...

void	set_problem_is_linear ()
	Treat the problem as being linear. More...

bool	is_problem_nonlinear () const

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const unsigned &n_power)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	set_problem_is_nonlinear ()
	Treat the problem as being nonlinear. More...

void	set_problem_is_linear ()
	Treat the problem as being linear. More...

bool	is_problem_nonlinear () const

void	doc_solution (DocInfo &doc_info)

void	run_it (DocInfo &doc_info)
	Run the probl. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
	Constructor: Pass pointer to source function. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const unsigned &nel_1d, const bool &mess_up_order)

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	doc_solution (DocInfo &doc_info)

	PoissonProblem (PoissonEquations< 3 >::PoissonSourceFctPt source_fct_pt, const string &node_file_name, const string &element_file_name, const string &face_file_name)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

TetgenMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (const unsigned &nplot, DocInfo &doc_info)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const unsigned &h_power)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

void	doc_solution (DocInfo &doc_info, ostream &convergence_file)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const unsigned &h_power)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

SimpleRectangularTriMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (DocInfo &doc_info, ostream &convergence_file)
	Doc the solution. More...

	PoissonProblem (PoissonEquations< 3 >::PoissonSourceFctPt source_fct_pt, const unsigned &h_power)
	Constructor. More...

	~PoissonProblem ()
	Destructor (empty) More...

void	actions_before_newton_solve ()
	Update the problem specs before solve: (Re)set boundary conditions. More...

void	actions_after_newton_solve ()
	Update the problem specs before solve (empty) More...

SimpleCubicTetMesh< ELEMENT > *	mesh_pt ()

void	doc_solution (DocInfo &doc_info, ostream &convergence_file)
	Doc the solution. More...

Public Member Functions inherited from oomph::Problem
virtual void	debug_hook_fct (const unsigned &i)

void	set_analytic_dparameter (double *const &parameter_pt)

void	unset_analytic_dparameter (double *const &parameter_pt)

bool	is_dparameter_calculated_analytically (double *const &parameter_pt)

void	set_analytic_hessian_products ()

void	unset_analytic_hessian_products ()

bool	are_hessian_products_calculated_analytically ()

void	set_pinned_values_to_zero ()

bool	distributed () const

OomphCommunicator *	communicator_pt ()
	access function to the oomph-lib communicator More...

const OomphCommunicator *	communicator_pt () const
	access function to the oomph-lib communicator, const version More...

	Problem ()

	Problem (const Problem &dummy)=delete
	Broken copy constructor. More...

void	operator= (const Problem &)=delete
	Broken assignment operator. More...

virtual	~Problem ()
	Virtual destructor to clean up memory. More...

Mesh *&	mesh_pt ()
	Return a pointer to the global mesh. More...

Mesh *const &	mesh_pt () const
	Return a pointer to the global mesh (const version) More...

Mesh *&	mesh_pt (const unsigned &imesh)

Mesh *const &	mesh_pt (const unsigned &imesh) const
	Return a pointer to the i-th submesh (const version) More...

unsigned	nsub_mesh () const
	Return number of submeshes. More...

unsigned	add_sub_mesh (Mesh *const &mesh_pt)

void	flush_sub_meshes ()

void	build_global_mesh ()

void	rebuild_global_mesh ()

LinearSolver *&	linear_solver_pt ()
	Return a pointer to the linear solver object. More...

LinearSolver *const &	linear_solver_pt () const
	Return a pointer to the linear solver object (const version) More...

LinearSolver *&	mass_matrix_solver_for_explicit_timestepper_pt ()

LinearSolver *	mass_matrix_solver_for_explicit_timestepper_pt () const

EigenSolver *&	eigen_solver_pt ()
	Return a pointer to the eigen solver object. More...

EigenSolver *const &	eigen_solver_pt () const
	Return a pointer to the eigen solver object (const version) More...

Time *&	time_pt ()
	Return a pointer to the global time object. More...

Time *	time_pt () const
	Return a pointer to the global time object (const version). More...

double &	time ()
	Return the current value of continuous time. More...

double	time () const
	Return the current value of continuous time (const version) More...

TimeStepper *&	time_stepper_pt ()

const TimeStepper *	time_stepper_pt () const

TimeStepper *&	time_stepper_pt (const unsigned &i)
	Return a pointer to the i-th timestepper. More...

ExplicitTimeStepper *&	explicit_time_stepper_pt ()
	Return a pointer to the explicit timestepper. More...

unsigned long	set_timestepper_for_all_data (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data=false)

virtual void	shift_time_values ()
	Shift all values along to prepare for next timestep. More...

AssemblyHandler *&	assembly_handler_pt ()
	Return a pointer to the assembly handler object. More...

AssemblyHandler *const &	assembly_handler_pt () const
	Return a pointer to the assembly handler object (const version) More...

double &	minimum_dt ()
	Access function to min timestep in adaptive timestepping. More...

double &	maximum_dt ()
	Access function to max timestep in adaptive timestepping. More...

unsigned &	max_newton_iterations ()
	Access function to max Newton iterations before giving up. More...

void	problem_is_nonlinear (const bool &prob_lin)
	Access function to Problem_is_nonlinear. More...

double &	max_residuals ()

bool &	time_adaptive_newton_crash_on_solve_fail ()
	Access function for Time_adaptive_newton_crash_on_solve_fail. More...

double &	newton_solver_tolerance ()

void	add_time_stepper_pt (TimeStepper *const &time_stepper_pt)

void	set_explicit_time_stepper_pt (ExplicitTimeStepper *const &explicit_time_stepper_pt)

void	initialise_dt (const double &dt)

void	initialise_dt (const Vector< double > &dt)

Data *&	global_data_pt (const unsigned &i)
	Return a pointer to the the i-th global data object. More...

void	add_global_data (Data *const &global_data_pt)

void	flush_global_data ()

LinearAlgebraDistribution *const &	dof_distribution_pt () const
	Return the pointer to the dof distribution (read-only) More...

unsigned long	ndof () const
	Return the number of dofs. More...

unsigned	ntime_stepper () const
	Return the number of time steppers. More...

unsigned	nglobal_data () const
	Return the number of global data values. More...

unsigned	self_test ()
	Self-test: Check meshes and global data. Return 0 for OK. More...

void	enable_store_local_dof_pt_in_elements ()

void	disable_store_local_dof_pt_in_elements ()

unsigned long	assign_eqn_numbers (const bool &assign_local_eqn_numbers=true)

void	describe_dofs (std::ostream &out= *(oomph_info.stream_pt())) const

void	enable_discontinuous_formulation ()

void	disable_discontinuous_formulation ()

void	get_dofs (DoubleVector &dofs) const

void	get_dofs (const unsigned &t, DoubleVector &dofs) const
	Return vector of the t'th history value of all dofs. More...

void	set_dofs (const DoubleVector &dofs)
	Set the values of the dofs. More...

void	set_dofs (const unsigned &t, DoubleVector &dofs)
	Set the history values of the dofs. More...

void	set_dofs (const unsigned &t, Vector< double * > &dof_pt)

void	add_to_dofs (const double &lambda, const DoubleVector &increment_dofs)
	Add lambda x incremenet_dofs[l] to the l-th dof. More...

double *	global_dof_pt (const unsigned &i)

double &	dof (const unsigned &i)
	i-th dof in the problem More...

double	dof (const unsigned &i) const
	i-th dof in the problem (const version) More...

double *&	dof_pt (const unsigned &i)
	Pointer to i-th dof in the problem. More...

double *	dof_pt (const unsigned &i) const
	Pointer to i-th dof in the problem (const version) More...

virtual void	get_inverse_mass_matrix_times_residuals (DoubleVector &Mres)

virtual void	get_dvaluesdt (DoubleVector &f)

virtual void	get_residuals (DoubleVector &residuals)
	Get the total residuals Vector for the problem. More...

virtual void	get_jacobian (DoubleVector &residuals, DenseDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CRDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CCDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, SumOfMatrices &jacobian)

void	get_fd_jacobian (DoubleVector &residuals, DenseMatrix< double > &jacobian)
	Get the full Jacobian by finite differencing. More...

void	get_derivative_wrt_global_parameter (double *const &parameter_pt, DoubleVector &result)

void	get_hessian_vector_products (DoubleVectorWithHaloEntries const &Y, Vector< DoubleVectorWithHaloEntries > const &C, Vector< DoubleVectorWithHaloEntries > &product)

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, Vector< DoubleVector > &eigenvector, const bool &steady=true)
	Solve the eigenproblem. More...

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, const bool &steady=true)

virtual void	get_eigenproblem_matrices (CRDoubleMatrix &mass_matrix, CRDoubleMatrix &main_matrix, const double &shift=0.0)

void	assign_eigenvector_to_dofs (DoubleVector &eigenvector)
	Assign the eigenvector passed to the function to the dofs. More...

void	add_eigenvector_to_dofs (const double &epsilon, const DoubleVector &eigenvector)

void	store_current_dof_values ()
	Store the current values of the degrees of freedom. More...

void	restore_dof_values ()
	Restore the stored values of the degrees of freedom. More...

void	enable_jacobian_reuse ()

void	disable_jacobian_reuse ()
	Disable recycling of Jacobian in Newton iteration. More...

bool	jacobian_reuse_is_enabled ()
	Is recycling of Jacobian in Newton iteration enabled? More...

bool &	use_predictor_values_as_initial_guess ()

void	newton_solve ()
	Use Newton method to solve the problem. More...

void	enable_globally_convergent_newton_method ()
	enable globally convergent Newton method More...

void	disable_globally_convergent_newton_method ()
	disable globally convergent Newton method More...

void	newton_solve (unsigned const &max_adapt)

void	steady_newton_solve (unsigned const &max_adapt=0)

void	copy (Problem *orig_problem_pt)

virtual Problem *	make_copy ()

virtual void	read (std::ifstream &restart_file, bool &unsteady_restart)

virtual void	read (std::ifstream &restart_file)

virtual void	dump (std::ofstream &dump_file) const

void	dump (const std::string &dump_file_name) const

void	delete_all_external_storage ()

virtual void	symmetrise_eigenfunction_for_adaptive_pitchfork_tracking ()

double *	bifurcation_parameter_pt () const

void	get_bifurcation_eigenfunction (Vector< DoubleVector > &eigenfunction)

void	activate_fold_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const DoubleVector &normalisation, const bool &block_solve=true)

void	activate_pitchfork_tracking (double *const &parameter_pt, const DoubleVector &symmetry_vector, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const double &omega, const DoubleVector &null_real, const DoubleVector &null_imag, const bool &block_solve=true)

void	deactivate_bifurcation_tracking ()

void	reset_assembly_handler_to_default ()
	Reset the system to the standard non-augemented state. More...

double	arc_length_step_solve (double *const &parameter_pt, const double &ds, const unsigned &max_adapt=0)

double	arc_length_step_solve (Data *const &data_pt, const unsigned &data_index, const double &ds, const unsigned &max_adapt=0)

void	reset_arc_length_parameters ()

int &	sign_of_jacobian ()

void	explicit_timestep (const double &dt, const bool &shift_values=true)
	Take an explicit timestep of size dt. More...

void	unsteady_newton_solve (const double &dt)

void	unsteady_newton_solve (const double &dt, const bool &shift_values)

void	unsteady_newton_solve (const double &dt, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const unsigned &suppress_resolve_after_spatial_adapt_flag, const bool &first, const bool &shift=true)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon, const bool &shift_values)

void	assign_initial_values_impulsive ()

void	assign_initial_values_impulsive (const double &dt)

void	calculate_predictions ()
	Calculate predictions. More...

void	enable_mass_matrix_reuse ()

void	disable_mass_matrix_reuse ()

bool	mass_matrix_reuse_is_enabled ()
	Return whether the mass matrix is being reused. More...

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly (DocInfo &doc_info)

void	refine_uniformly_and_prune (DocInfo &doc_info)

void	refine_uniformly ()

void	refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform refinement for submesh i_mesh with documentation. More...

void	refine_uniformly (const unsigned &i_mesh)
	Do uniform refinement for submesh i_mesh without documentation. More...

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly (DocInfo &doc_info)

void	p_refine_uniformly_and_prune (DocInfo &doc_info)

void	p_refine_uniformly ()

void	p_refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-refinement for submesh i_mesh with documentation. More...

void	p_refine_uniformly (const unsigned &i_mesh)
	Do uniform p-refinement for submesh i_mesh without documentation. More...

void	refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	refine_selected_elements (const Vector< Vector< RefineableElement * >> &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< Vector< PRefineableElement * >> &elements_to_be_refined_pt)

unsigned	unrefine_uniformly ()

unsigned	unrefine_uniformly (const unsigned &i_mesh)

void	p_unrefine_uniformly (DocInfo &doc_info)

void	p_unrefine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-unrefinement for submesh i_mesh without documentation. More...

void	adapt (unsigned &n_refined, unsigned &n_unrefined)

void	adapt ()

void	p_adapt (unsigned &n_refined, unsigned &n_unrefined)

void	p_adapt ()

void	adapt_based_on_error_estimates (unsigned &n_refined, unsigned &n_unrefined, Vector< Vector< double >> &elemental_error)

void	adapt_based_on_error_estimates (Vector< Vector< double >> &elemental_error)

void	get_all_error_estimates (Vector< Vector< double >> &elemental_error)

void	doc_errors (DocInfo &doc_info)
	Get max and min error for all elements in submeshes. More...

void	doc_errors ()
	Get max and min error for all elements in submeshes. More...

void	enable_info_in_newton_solve ()

void	disable_info_in_newton_solve ()
	Disable the output of information when in the newton solver. More...

Public Member Functions inherited from oomph::ExplicitTimeSteppableObject
	ExplicitTimeSteppableObject ()
	Empty constructor. More...

	ExplicitTimeSteppableObject (const ExplicitTimeSteppableObject &)=delete
	Broken copy constructor. More...

void	operator= (const ExplicitTimeSteppableObject &)=delete
	Broken assignment operator. More...

virtual	~ExplicitTimeSteppableObject ()
	Empty destructor. More...

virtual void	actions_before_explicit_stage ()

virtual void	actions_after_explicit_stage ()

Public Attributes
Z2ErrorEstimator *	error_estimator_pt
	Error estimator. More...

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

Private Member Functions
void	apply_boundary_conditions ()
	Apply boundary conditions. More...

void	complete_problem_setup ()
	Complete problem setup. More...

void	square_domain ()
	Builds the square domain mesh. More...

void	half_circle_domain ()
	Builds the half circle domain. More...

void	half_circle_domain_with_internal_boundaries ()
	Builds the half circle with straight internal boundaries. More...

void	complex_domain_with_holes ()
	Builds a complex domain with holes. More...

void	apply_boundary_conditions ()

void	complete_problem_setup ()

void	apply_boundary_conditions ()

void	complete_problem_setup ()

Private Attributes
PoissonEquations< 2 >::PoissonSourceFctPt	Source_fct_pt
	Pointer to source function. More...

unsigned	Newton_count
	Number of Newton iterations. More...

ofstream	Trace_file
	Trace file to document norm of solution. More...

PoissonEquations< 3 >::PoissonSourceFctPt	Source_fct_pt
	Pointer to source function. More...

RefineableTriangleMesh< ELEMENT > *	Bulk_mesh_pt

Z2ErrorEstimator *	Error_estimator_pt

TriangleMeshParameters	Triangle_mesh_parameters

double	Element_size

unsigned	Domain_configuration

RefineableTriangleMesh< ELEMENT > *	My_mesh_pt

SingularPoissonSolutionElement< ELEMENT > *	Singular_poisson_solution1_element_pt

SingularPoissonSolutionElement< ELEMENT > *	Singular_poisson_solution2_element_pt

Mesh *	Singular_poisson_solution_mesh_pt

Mesh *	Poisson_mesh_pt
	Pointer to mesh with Poisson elements. More...

unsigned	H_power
	Exponent for h scaling. More...

Additional Inherited Members
Public Types inherited from oomph::Problem
typedef void(*	SpatialErrorEstimatorFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error)
	Function pointer for spatial error estimator. More...

typedef void(*	SpatialErrorEstimatorWithDocFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error, DocInfo &doc_info)
	Function pointer for spatial error estimator with doc. More...

Static Public Attributes inherited from oomph::Problem
static bool	Suppress_warning_about_actions_before_read_unstructured_meshes

Protected Types inherited from oomph::Problem
enum	Assembly_method { Perform_assembly_using_vectors_of_pairs , Perform_assembly_using_two_vectors , Perform_assembly_using_maps , Perform_assembly_using_lists , Perform_assembly_using_two_arrays }
	Enumerated flags to determine which sparse assembly method is used. More...

Protected Member Functions inherited from oomph::Problem
unsigned	setup_element_count_per_dof ()

virtual void	sparse_assemble_row_or_column_compressed (Vector< int * > &column_or_row_index, Vector< int * > &row_or_column_start, Vector< double * > &value, Vector< unsigned > &nnz, Vector< double * > &residual, bool compressed_row_flag)

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

virtual void	actions_before_implicit_timestep ()

virtual void	actions_after_implicit_timestep ()

virtual void	actions_after_implicit_timestep_and_error_estimation ()

virtual void	actions_before_explicit_timestep ()
	Actions that should be performed before each explicit time step. More...

virtual void	actions_after_explicit_timestep ()
	Actions that should be performed after each explicit time step. More...

virtual void	actions_before_read_unstructured_meshes ()

virtual void	actions_after_read_unstructured_meshes ()

virtual void	actions_after_change_in_global_parameter (double *const &parameter_pt)

virtual void	actions_after_change_in_bifurcation_parameter ()

virtual void	actions_after_parameter_increase (double *const &parameter_pt)

double &	dof_derivative (const unsigned &i)

double &	dof_current (const unsigned &i)

virtual void	set_initial_condition ()

virtual double	global_temporal_error_norm ()

unsigned	newton_solve_continuation (double *const &parameter_pt)

unsigned	newton_solve_continuation (double *const &parameter_pt, DoubleVector &z)

void	calculate_continuation_derivatives (double *const &parameter_pt)

void	calculate_continuation_derivatives (const DoubleVector &z)

void	calculate_continuation_derivatives_fd (double *const &parameter_pt)

bool	does_pointer_correspond_to_problem_data (double *const &parameter_pt)

void	set_consistent_pinned_values_for_continuation ()

Protected Attributes inherited from oomph::Problem
Vector< Problem * >	Copy_of_problem_pt

std::map< double *, bool >	Calculate_dparameter_analytic

bool	Calculate_hessian_products_analytic

LinearAlgebraDistribution *	Dof_distribution_pt

Vector< double * >	Dof_pt
	Vector of pointers to dofs. More...

DoubleVectorWithHaloEntries	Element_count_per_dof

double	Relaxation_factor

double	Newton_solver_tolerance

unsigned	Max_newton_iterations
	Maximum number of Newton iterations. More...

unsigned	Nnewton_iter_taken

Vector< double >	Max_res
	Maximum residuals at start and after each newton iteration. More...

double	Max_residuals

bool	Time_adaptive_newton_crash_on_solve_fail

bool	Jacobian_reuse_is_enabled
	Is re-use of Jacobian in Newton iteration enabled? Default: false. More...

bool	Jacobian_has_been_computed

bool	Problem_is_nonlinear

bool	Pause_at_end_of_sparse_assembly

bool	Doc_time_in_distribute

unsigned	Sparse_assembly_method

unsigned	Sparse_assemble_with_arrays_initial_allocation

unsigned	Sparse_assemble_with_arrays_allocation_increment

Vector< Vector< unsigned > >	Sparse_assemble_with_arrays_previous_allocation

double	Numerical_zero_for_sparse_assembly

double	FD_step_used_in_get_hessian_vector_products

bool	Mass_matrix_reuse_is_enabled

bool	Mass_matrix_has_been_computed

bool	Discontinuous_element_formulation

double	Minimum_dt
	Minimum desired dt: if dt falls below this value, exit. More...

double	Maximum_dt
	Maximum desired dt. More...

double	DTSF_max_increase

double	DTSF_min_decrease

double	Minimum_dt_but_still_proceed

bool	Scale_arc_length
	Boolean to control whether arc-length should be scaled. More...

double	Desired_proportion_of_arc_length
	Proportion of the arc-length to taken by the parameter. More...

double	Theta_squared

int	Sign_of_jacobian
	Storage for the sign of the global Jacobian. More...

double	Continuation_direction

double	Parameter_derivative
	Storage for the derivative of the global parameter wrt arc-length. More...

double	Parameter_current
	Storage for the present value of the global parameter. More...

bool	Use_continuation_timestepper
	Boolean to control original or new storage of dof stuff. More...

unsigned	Dof_derivative_offset

unsigned	Dof_current_offset

Vector< double >	Dof_derivative
	Storage for the derivative of the problem variables wrt arc-length. More...

Vector< double >	Dof_current
	Storage for the present values of the variables. More...

double	Ds_current
	Storage for the current step value. More...

unsigned	Desired_newton_iterations_ds

double	Minimum_ds
	Minimum desired value of arc-length. More...

bool	Bifurcation_detection
	Boolean to control bifurcation detection via determinant of Jacobian. More...

bool	Bisect_to_find_bifurcation
	Boolean to control wheter bisection is used to located bifurcation. More...

bool	First_jacobian_sign_change
	Boolean to indicate whether a sign change has occured in the Jacobian. More...

bool	Arc_length_step_taken
	Boolean to indicate whether an arc-length step has been taken. More...

bool	Use_finite_differences_for_continuation_derivatives

OomphCommunicator *	Communicator_pt
	The communicator for this problem. More...

bool	Always_take_one_newton_step

double	Timestep_reduction_factor_after_nonconvergence

bool	Keep_temporal_error_below_tolerance

Static Protected Attributes inherited from oomph::Problem
static ContinuationStorageScheme	Continuation_time_stepper
	Storage for the single static continuation timestorage object. More...

Detailed Description

template<class ELEMENT>
class PoissonProblem< ELEMENT >

Micky mouse Poisson problem.

Poisson problem.

2D Poisson problem on rectangular domain, discretised with 2D QPoisson elements. The specific type of element is specified via the template parameter.

Constructor & Destructor Documentation

◆ PoissonProblem() [1/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

Constructor for Poisson problem.

Constructor for Poisson problem: Pass pointer to source function.

Boundary conditions

End of boundary conditions

  :  Source_fct_pt(source_fct_pt)
 {
  // The problem is linear
  //Problem_is_nonlinear = false;
  
  // Setup mesh
  
  // # of elements in x-direction
  unsigned n_x=10;
  
  // # of elements in y-direction
  unsigned n_y=10;
  
  // Domain length in x-direction
  double l_x=1.0;
  
  // Domain length in y-direction
  double l_y=2.0;
  
  // Build and assign mesh
  Problem::mesh_pt() =
   new RefineableRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
  
  // Create/set error estimator
  mesh_pt()->spatial_error_estimator_pt()=new Z2ErrorEstimator;
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- only need to pin the ones that have Dirichlet conditions
  // here.
  unsigned n_bound = mesh_pt()->nboundary();
  for(unsigned i=0;i<n_bound;i++)
   {
    unsigned n_node = mesh_pt()->nboundary_node(i);
    for (unsigned n=0;n<n_node;n++)
     {
      mesh_pt()->boundary_node_pt(i,n)->pin(0);
     }
   }
  
  // Complete the build of all elements so they are fully functional
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by the (argument-free!) ELEMENT 
  // constructor: Pass pointer to source function
  unsigned n_element = mesh_pt()->nelement();
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralsedElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << endl;
  
 } // end of constructor

References oomph::Problem::assign_eqn_numbers(), i, PoissonProblem< ELEMENT >::mesh_pt(), n, and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [1/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor.

   { 
    delete mesh_pt()->spatial_error_estimator_pt();
    delete mesh_pt();
  
   }

◆ PoissonProblem() [2/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [2/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

   {
    delete mesh_pt()->spatial_error_estimator_pt();
    delete mesh_pt();
   }

◆ PoissonProblem() [3/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [3/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

93 {}

◆ PoissonProblem() [4/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [4/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

93 {}

◆ PoissonProblem() [5/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const string &	mesh_file_name,
		const string &	curve_file_name
	)

Constructor.

Constructor for Poisson problem.

         : Source_fct_pt(source_fct_pt)
 { 
  
  // Setup parameters for exact tanh solution
  
  // Steepness of step
  TanhSolnForPoisson::Alpha=1.0; 
  
  // Orientation of step
  TanhSolnForPoisson::Beta=1.4;
  
  //Create mesh
  Problem::mesh_pt() = new GeompackQuadMesh<ELEMENT>(mesh_file_name,
                                                     curve_file_name);
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = mesh_pt()->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
  {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
    {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
    }
  }
  
  // Complete the build of all elements so they are fully functional
  
  //Find number of elements in mesh
  unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 }

References TanhSolnForPoisson::Alpha, oomph::Problem::assign_eqn_numbers(), TanhSolnForPoisson::Beta, i, PoissonProblem< ELEMENT >::mesh_pt(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [5/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

105 {}

◆ PoissonProblem() [6/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function and names of two triangle input files

◆ ~PoissonProblem() [6/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

104 {}

◆ PoissonProblem() [7/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function and names of two triangle input files

◆ ~PoissonProblem() [7/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

104 {}

◆ PoissonProblem() [8/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 3 >::PoissonSourceFctPt	source_fct_pt,
		const string &	node_file_name,
		const string &	element_file_name,
		const string &	face_file_name
	)

Constructor.

Constructor for Poisson problem.

         : Source_fct_pt(source_fct_pt)
 { 
  
  // Setup parameters for exact tanh solution
  
  // Steepness of step
  TanhSolnForPoisson::Alpha=1.0; 
  
  
  //Create mesh
  Problem::mesh_pt() = new TetgenMesh<ELEMENT>(node_file_name,
                                               element_file_name,
                                               face_file_name);
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = mesh_pt()->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
  {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
    {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
    }
  }
  
  // Complete the build of all elements so they are fully functional
  
  //Find number of elements in mesh
  unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 }

References TanhSolnForPoisson::Alpha, oomph::Problem::assign_eqn_numbers(), i, PoissonProblem< ELEMENT >::mesh_pt(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [8/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

141 {}

◆ PoissonProblem() [9/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const string &	node_file_name,
		const string &	element_file_name,
		const string &	poly_file_name
	)

Constructor for Poisson problem.

Constructor: Pass pointer to source function and names of two triangle input files

         : Source_fct_pt(source_fct_pt)
 { 
  
  // Setup parameters for exact tanh solution
  
  // Steepness of step
  TanhSolnForPoisson::Alpha=1.0; 
  
  // Orientation of step
  TanhSolnForPoisson::Beta=1.4;
  
 #ifdef ADAPT
  //Create mesh
  Bulk_mesh_pt = new RefineableTriangleMesh<ELEMENT>(node_file_name,
                                                     element_file_name,
                                                     poly_file_name);
  
  // Set error estimator for bulk mesh
  Z2ErrorEstimator* error_estimator_pt=new Z2ErrorEstimator;
  Bulk_mesh_pt->spatial_error_estimator_pt() = error_estimator_pt;
  
  // Set the problem mesh pointer to the bulk mesh
  Problem::mesh_pt() = Bulk_mesh_pt;
  
 #else
  //Create mesh
   Problem::mesh_pt() = new TriangleMesh<ELEMENT>(node_file_name,
                                                  element_file_name,
                                                  poly_file_name);
 #endif
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = mesh_pt()->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
  {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
    {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
    }
  }
  
  // Complete the build of all elements so they are fully functional
  
  //Find number of elements in mesh
  unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 }

References TanhSolnForPoisson::Alpha, oomph::Problem::assign_eqn_numbers(), TanhSolnForPoisson::Beta, PoissonProblem< ELEMENT >::Bulk_mesh_pt, PoissonProblem< ELEMENT >::error_estimator_pt, i, PoissonProblem< ELEMENT >::mesh_pt(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [9/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

107 {}

◆ PoissonProblem() [10/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const string &	node_file_name,
		const string &	element_file_name,
		const string &	poly_file_name
	)

Constructor: Pass pointer to source function and names of two triangle input files

◆ ~PoissonProblem() [10/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

134 {}

◆ PoissonProblem() [11/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const double	element_size,
		const unsigned	domain_configuration
	)

Constructor.

Constructor for Poisson problem.

   : Source_fct_pt(source_fct_pt), 
     Element_size(element_size),
     Domain_configuration(domain_configuration)
 {
  
  // Setup parameters for exact tanh solution
  
  // Steepness of step
   TanhSolnForPoisson::Alpha=10.0;
  
  // Orientation of step
  TanhSolnForPoisson::Beta=1.0;
  
  if (Domain_configuration == 1)
    {
      square_domain();
    }
  else if (Domain_configuration == 2)
    {
      half_circle_domain();
    }
  else if (Domain_configuration == 3)
    {
      half_circle_domain_with_internal_boundaries();
    }
  else if (Domain_configuration == 4)
    {
      complex_domain_with_holes();
    }
  else
    {
      std::ostringstream error_message;
      error_message
        << "The choosen domain configuration is not implemented\n"
        << "You chose ("<<Domain_configuration<<")";
      throw OomphLibError(error_message.str(),
                          OOMPH_CURRENT_FUNCTION,
                          OOMPH_EXCEPTION_LOCATION);
    }
  
  // At this point the Triangle_mesh_parameters object stores the
  // domain geometry. We next specify the element size
  
  // Set the element size
  Triangle_mesh_parameters.element_area() = Element_size;
  
  // Create the error estimator object for the bulk mesh
  Error_estimator_pt = new Z2ErrorEstimator;
  
  // Build the mesh
  build_mesh();
  
 }

◆ ~PoissonProblem() [11/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

125 {}

◆ PoissonProblem() [12/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function and names of two triangle input files

◆ ~PoissonProblem() [12/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

                   {
  
  }

◆ PoissonProblem() [13/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function and names of two triangle input files

◆ ~PoissonProblem() [13/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

                   {
  
  }

◆ PoissonProblem() [14/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [14/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

   {
    delete mesh_pt()->spatial_error_estimator_pt();
    delete mesh_pt();
   }

◆ PoissonProblem() [15/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	h_power
	)

Constructor: Pass pointer to source function Mesh has 2^|n_power| x 2^|n_power| elements.

Constructor for Poisson problem: Pass pointer to source function. Mesh has 2^|n_power| x 2^|n_power| elements.

Constructor for Poisson problem

        :  Source_fct_pt(source_fct_pt)
 { 
  // Setup mesh
  
  // # of elements in x-direction
  unsigned n_x=unsigned(pow(2.0,int(n_power)));
  
  // # of elements in y-direction
  unsigned n_y=unsigned(pow(2.0,int(n_power)));
  
  // Domain length in x-direction
  double l_x=1.0;
  
  // Domain length in y-direction
  double l_y=2.0;
  
  
  cout << " Building a " << n_x << " x " << n_y << " mesh." 
       << std::endl;
  
  //  Initialise timers
  clock_t t_start = clock();
  
  // Build and assign mesh
  Problem::mesh_pt() = new SimpleRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
  
  // Finish/doc timing
  clock_t t_end = clock();
  double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
  cout << std::endl;
  cout << "======================================================= " << std::endl;
  cout << "Total time for Mesh setup [sec]: " << total_time << std::endl;
  cout << "======================================================= " << std::endl;
  cout << std::endl;
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- only need to pin the ones that have Dirichlet conditions
  // here. 
  unsigned n_bound = mesh_pt()->nboundary();
  for(unsigned i=0;i<n_bound;i++)
   {
    unsigned n_node = mesh_pt()->nboundary_node(i);
    for (unsigned n=0;n<n_node;n++)
     {
      mesh_pt()->boundary_node_pt(i,n)->pin(0); 
     }
   }
  
  // Complete the build of all elements so they are fully functional
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by the (argument-free!) ELEMENT 
  // constructor: Pass pointer to source function
  unsigned n_element = mesh_pt()->nelement();
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralsedElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // end of constructor

References oomph::Problem::assign_eqn_numbers(), i, PoissonProblem< ELEMENT >::mesh_pt(), n, Eigen::bfloat16_impl::pow(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [15/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

97 {}

◆ PoissonProblem() [16/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	n_power
	)

Constructor: Pass pointer to source function Mesh has 2^|n_power| x 2^|n_power| elements.

◆ ~PoissonProblem() [16/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

95 {}

◆ PoissonProblem() [17/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [17/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

360 {}

◆ PoissonProblem() [18/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [18/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

93 {}

◆ PoissonProblem() [19/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt )

Constructor: Pass pointer to source function.

◆ ~PoissonProblem() [19/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

95 {}

◆ PoissonProblem() [20/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	nel_1d,
		const bool &	mess_up_order
	)

Constructor: Pass pointer to source function and flag to indicate if order of elements should be messed up. nel_1d is the number of elements along the 1d mesh edges – total number of elements is nel_1d x nel_1d.

Constructor for Poisson problem: Pass pointer to source function and a flag that specifies if the order of the elements should be messed up. nel_1d is the number of elements along the 1d mesh edges – total number of elements is nel_1d x nel_1d.

        :  Source_fct_pt(source_fct_pt)
 { 
  
  // Setup mesh
  
  // # of elements in x-direction
  unsigned n_x=nel_1d;
  
  // # of elements in y-direction
  unsigned n_y=nel_1d;
  
  // Domain length in x-direction
  double l_x=1.0;
  
  // Domain length in y-direction
  double l_y=2.0;
  
  // Build and assign mesh
  Problem::mesh_pt() = new SimpleRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
  
  
  
  // Mess up order of elements in the Problem's mesh:
  //-------------------------------------------------
  if (mess_up_order)
   {
    unsigned n_element=mesh_pt()->nelement();
    
    // Make copy
    Vector<ELEMENT*> tmp_element_pt(n_element);
    for (unsigned e=0;e<n_element;e++)
     {
      tmp_element_pt[e]=dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
     }
    
    // Reorder
    unsigned e_half=unsigned(0.5*double(n_element));
    unsigned e_lo=e_half-3;
    unsigned e_up=n_element-e_lo;
    unsigned count=0;
    for (unsigned e=0;e<e_lo;e++)
     {
      mesh_pt()->element_pt(count)=tmp_element_pt[e];
      count++;
      mesh_pt()->element_pt(count)=tmp_element_pt[n_element-e-1];
      count++;
     }
    for (unsigned e=e_lo;e<e_up;e++)
     {
      mesh_pt()->element_pt(count)=tmp_element_pt[e];
      count++;
     }
   }
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- only need to pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = mesh_pt()->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
   {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0); 
     }
   }
  
  // Complete the build of all elements so they are fully functional
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by the (argument-free!) ELEMENT 
  // constructor: Pass pointer to source function
  unsigned n_element = mesh_pt()->nelement();
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralsedElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // end of constructor

References oomph::Problem::assign_eqn_numbers(), e(), i, PoissonProblem< ELEMENT >::mesh_pt(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [20/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

97 {}

◆ PoissonProblem() [21/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 3 >::PoissonSourceFctPt	source_fct_pt,
		const string &	node_file_name,
		const string &	element_file_name,
		const string &	face_file_name
	)

Constructor.

◆ ~PoissonProblem() [21/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

143 {}

◆ PoissonProblem() [22/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	h_power
	)

Constructor.

◆ ~PoissonProblem() [22/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

94 {};

◆ PoissonProblem() [23/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 2 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	h_power
	)

Constructor.

◆ ~PoissonProblem() [23/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

94 {};

◆ PoissonProblem() [24/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::PoissonProblem	(	PoissonEquations< 3 >::PoissonSourceFctPt	source_fct_pt,
		const unsigned &	h_power
	)

Constructor.

Constructor for Poisson problem

                                         : Source_fct_pt(source_fct_pt),
                                         H_power(h_power)
                                         
 { 
  
  Problem::Problem_is_nonlinear=false;
  
  //FiniteElement::Accept_negative_jacobian=true;
  
  //Create mesh and assign element lengthscale h
  unsigned nx=unsigned(pow(2.0,int(h_power)));
  unsigned ny=unsigned(pow(2.0,int(h_power)));
  unsigned nz=unsigned(pow(2.0,int(h_power)));
  double lx=4.0;
  double ly=4.0;
  double lz=4.0;
  Problem::mesh_pt() = new SimpleCubicTetMesh<ELEMENT>(nx,ny,nz,lx,ly,lz);
  
 //  unsigned nelem=mesh_pt()->nelement();
 //  for (unsigned e=0;e<nelem;e++)
 //   {
 //    Node* node_pt=mesh_pt()->finite_element_pt(e)->node_pt(0);
 //    mesh_pt()->finite_element_pt(e)->node_pt(0)=
 //     mesh_pt()->finite_element_pt(e)->node_pt(1);
 //    mesh_pt()->finite_element_pt(e)->node_pt(1)=node_pt;
 //   }
  
   // Set the boundary conditions for this problem: All nodes are
   // free by default -- just pin the ones that have Dirichlet conditions
   // here. 
   unsigned num_bound = mesh_pt()->nboundary();
   for(unsigned long ibound=0;ibound<num_bound;ibound++)
    {
     unsigned num_nod= mesh_pt()->nboundary_node(ibound);
     for (unsigned inod=0;inod<num_nod;inod++)
      {
       mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
      }
    }
   
   // Complete the build of all elements so they are fully functional
   
   //Find number of elements in mesh
   unsigned n_element = mesh_pt()->nelement();
   
   // Loop over the elements to set up element-specific 
   // things that cannot be handled by constructor
   for(unsigned i=0;i<n_element;i++)
    {
     // Upcast from GeneralElement to the present element
     ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
     
     //Set the source function pointer
     el_pt->source_fct_pt() = Source_fct_pt;
    }
   
   // Setup equation numbering scheme
   cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
 }

References oomph::Problem::assign_eqn_numbers(), i, Mesh_Parameters::lx, Mesh_Parameters::ly, Mesh_Parameters::lz, PoissonProblem< ELEMENT >::mesh_pt(), Mesh_Parameters::nx, Mesh_Parameters::ny, Mesh_Parameters::nz, Eigen::bfloat16_impl::pow(), and PoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~PoissonProblem() [24/24]

template<class ELEMENT >

PoissonProblem< ELEMENT >::~PoissonProblem ( )

inline

Destructor (empty)

143 {};

Member Function Documentation

◆ actions_after_adapt() [1/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

Apply actions after adapt.

Reimplemented from oomph::Problem.

   {
    complete_problem_setup();
   }

◆ actions_after_adapt() [2/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

   {
    complete_problem_setup();
   }

◆ actions_after_adapt() [3/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

   {
    complete_problem_setup();
   }

◆ actions_after_distribute()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_distribute ( )

inline

Apply actions after distribute (same as actions after adapt)

   {
    // BEGIN --- Only required if calling load_balance() ----------------
     
    // After calling load_balance() we need to re-establish the
    // pointers of the unstructured meshes (ONLY). This is because the
    // meshes created by the build_mesh() called from the
    // load_balance() method (to replicate the behaviour of the
    // structured load balance case) were deleted as part of the load
    // balancing process.
    
     // Get the mesh pointer from mesh_pt() and set it on the
     // corresponding unstructured mesh pointer.
    Bulk_mesh_pt = mesh_pt();
    
    // Make the mesh_pt() from problem point to the corresponding
    // mesh. This is similar to what we do in the build_mesh() method
    Problem::mesh_pt() = Bulk_mesh_pt;
    
     // END --- Only required if calling load_balance() ----------------
    
    // Then we can safely call actions_after_adapt(). If we do not do
    // the previous two steps after calling load_balance() then the
    // pointer 'Bulk_mesh_pt' would be pointing to NULL, thus causing an
    // error.
    actions_after_adapt();
   }

◆ actions_after_newton_solve() [1/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

101 {}

◆ actions_after_newton_solve() [2/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

100 {}

◆ actions_after_newton_solve() [3/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

100 {}

◆ actions_after_newton_solve() [4/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

100 {}

◆ actions_after_newton_solve() [5/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

131 {}

◆ actions_after_newton_solve() [6/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

130 {}

◆ actions_after_newton_solve() [7/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

130 {}

◆ actions_after_newton_solve() [8/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

168 {}

◆ actions_after_newton_solve() [9/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

133 {}

◆ actions_after_newton_solve() [10/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

161 {}

◆ actions_after_newton_solve() [11/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

134 {}

◆ actions_after_newton_solve() [12/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

109 {}

◆ actions_after_newton_solve() [13/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

109 {}

◆ actions_after_newton_solve() [14/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

104 {}

◆ actions_after_newton_solve() [15/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

104 {}

◆ actions_after_newton_solve() [16/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

102 {}

◆ actions_after_newton_solve() [17/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

367 {}

◆ actions_after_newton_solve() [18/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

100 {}

◆ actions_after_newton_solve() [19/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

102 {}

◆ actions_after_newton_solve() [20/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

104 {}

◆ actions_after_newton_solve() [21/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

170 {}

◆ actions_after_newton_solve() [22/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

120 {}

◆ actions_after_newton_solve() [23/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

120 {}

◆ actions_after_newton_solve() [24/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

170 {}

◆ actions_before_adapt() [1/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Apply actions before adapt (empty)

Reimplemented from oomph::Problem.

137 {}

◆ actions_before_adapt() [2/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Actions that are to be performed before a mesh adaptation. These might include removing any additional elements, such as traction boundary elements before the adaptation.

Reimplemented from oomph::Problem.

111 {}

◆ actions_before_adapt() [3/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Actions that are to be performed before a mesh adaptation. These might include removing any additional elements, such as traction boundary elements before the adaptation.

Reimplemented from oomph::Problem.

111 {}

◆ actions_before_distribute()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_distribute ( )

inline

Apply actions before distribute (same as actions before adapt)

   {
    actions_before_adapt();
   }

◆ actions_before_newton_convergence_check() [1/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Bump up counter for number of Newton iterations.

Reimplemented from oomph::Problem.

   {
    Newton_count++;
   }

◆ actions_before_newton_convergence_check() [2/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Bump up counter for number of Newton iterations.

Reimplemented from oomph::Problem.

   {
    Newton_count++;
   }

◆ actions_before_newton_convergence_check() [3/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Bump up counter for number of Newton iterations.

Reimplemented from oomph::Problem.

   {
    Newton_count++;
   }

◆ actions_before_newton_solve() [1/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Update the problem specs before solve: Set nodal values to zero and (Re-)set boundary conditions to the values from the exact solution

Update the problem specs before solve: (Re-)set boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

 {
  
  // Reset counter
  Newton_count=0;
  
  // Loop over nodes and set values to zero
  unsigned n_node=mesh_pt()->nnode();
  for (unsigned j=0; j<n_node; j++)
   {
    Node* node_pt=mesh_pt()->node_pt(j);
    node_pt->set_value(0,0.0);
   }
   
  // How many boundaries are there?
  unsigned n_bound = mesh_pt()->nboundary();
  
  //Loop over the boundaries
  for(unsigned i=0;i<n_bound;i++)
   {
    // How many nodes are there on this boundary?
    unsigned n_node = mesh_pt()->nboundary_node(i);
  
    // Loop over the nodes on boundary
    for (unsigned n=0;n<n_node;n++)
     {
      // Get pointer to node
      Node* nod_pt=mesh_pt()->boundary_node_pt(i,n);
  
      // Extract nodal coordinates from node:
      Vector<double> x(2);
      x[0]=nod_pt->x(0);
      x[1]=nod_pt->x(1);
  
      // Compute the value of the exact solution at the nodal point
      Vector<double> u(1);
      TanhSolnForPoisson::get_exact_u(x,u);
  
      // Assign the value to the one (and only) nodal value at this node
      nod_pt->set_value(0,u[0]);
     }
   } 
 }  // end of actions before solve

References TanhSolnForPoisson::get_exact_u(), i, j, n, oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [2/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [3/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [4/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [5/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(2);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [6/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
     //Loop over the boundaries
     unsigned num_bound = mesh_pt()->nboundary();
     for(unsigned ibound=0;ibound<num_bound;ibound++)
       {
         // Loop over the nodes on boundary
         unsigned num_nod=mesh_pt()->nboundary_node(ibound);
         for (unsigned inod=0;inod<num_nod;inod++)
           {
             Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
             double u;
             Vector<double> x(2);
             x[0]=nod_pt->x(0);
             x[1]=nod_pt->x(1);
             TanhSolnForPoisson::get_exact_u(x,u);
             nod_pt->set_value(0,u);
           }
       }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [7/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
     //Loop over the boundaries
     unsigned num_bound = mesh_pt()->nboundary();
     for(unsigned ibound=0;ibound<num_bound;ibound++)
       {
         // Loop over the nodes on boundary
         unsigned num_nod=mesh_pt()->nboundary_node(ibound);
         for (unsigned inod=0;inod<num_nod;inod++)
           {
             Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
             double u;
             Vector<double> x(2);
             x[0]=nod_pt->x(0);
             x[1]=nod_pt->x(1);
             TanhSolnForPoisson::get_exact_u(x,u);
             nod_pt->set_value(0,u);
           }
       }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [8/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(3);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        x[2]=nod_pt->x(2);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [9/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(2);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [10/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(2);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [11/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    apply_boundary_conditions();
   }

◆ actions_before_newton_solve() [12/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    apply_boundary_conditions();
   }

◆ actions_before_newton_solve() [13/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    apply_boundary_conditions();
   }

◆ actions_before_newton_solve() [14/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [15/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [16/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [17/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

364 {}

◆ actions_before_newton_solve() [18/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [19/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [20/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

virtual

Update the problem specs before solve: Reset boundary conditions to the values from the exact solution.

Reimplemented from oomph::Problem.

◆ actions_before_newton_solve() [21/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(3);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        x[2]=nod_pt->x(2);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [22/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned long ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(2);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [23/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned long ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(2);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [24/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve: (Re)set boundary conditions.

Reimplemented from oomph::Problem.

   {
    //Loop over the boundaries
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned long ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over the nodes on boundary
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
        double u;
        Vector<double> x(3);
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        x[2]=nod_pt->x(2);
        TanhSolnForPoisson::get_exact_u(x,u);
        nod_pt->set_value(0,u);
       }
     }
   }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ apply_boundary_conditions() [1/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::apply_boundary_conditions

private

Apply boundary conditions.

 {
  const unsigned num_bound = mesh_pt()->nboundary();
  
  for(unsigned ibound=0;ibound<num_bound;ibound++)
   {
    // Loop over the nodes on boundary
    const unsigned num_nod=mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
      double u;
      Vector<double> x(2);
      x[0]=nod_pt->x(0);
      x[1]=nod_pt->x(1);
      TanhSolnForPoisson::get_exact_u(x,u);
      nod_pt->set_value(0,u);
     }
   }
 }

References TanhSolnForPoisson::get_exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ apply_boundary_conditions() [2/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::apply_boundary_conditions ( )

private

◆ apply_boundary_conditions() [3/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::apply_boundary_conditions ( )

private

◆ build_mesh()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::build_mesh

Required function to perform load balancing, create the mesh.

Required function ONLY to perform load balancing. However, it is a good practice to implement this function and build the mesh in there

 {
  // Create the mesh (using the geometry stored in the
  // Triangle_mesh_parameters object)
  Bulk_mesh_pt = new RefineableTriangleMesh<ELEMENT>(Triangle_mesh_parameters);
  
  // ... and set the just created mesh as the mesh in the problem object
  Problem::mesh_pt() = Bulk_mesh_pt;
  
  // Set the error estimator
  Bulk_mesh_pt->spatial_error_estimator_pt() = Error_estimator_pt;
   
  // Establish the max. and min. permitted errors for adaptation
  Bulk_mesh_pt->max_permitted_error() = 
    TestArguments::Max_permitted_error; // refine if error is larger
                                        // than this
  
  Bulk_mesh_pt->min_permitted_error() = 
    TestArguments::Min_permitted_error; // unrefine if error is smaller
                                        // than this
  
  // Set the maximum element size
  Bulk_mesh_pt->max_element_size() = TestArguments::Element_size;
  
  // Set the minimum element size
  Bulk_mesh_pt->min_element_size() = TestArguments::Min_element_size;
  
  // Make all the elements fully funtional and set boundary conditions
  complete_problem_setup();
  
 }

References TestArguments::Element_size, TestArguments::Max_permitted_error, TestArguments::Min_element_size, and TestArguments::Min_permitted_error.

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ complete_problem_setup() [1/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::complete_problem_setup

private

Complete problem setup.

 {
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here.
  
  const unsigned num_bound = mesh_pt()->nboundary();
  
  for(unsigned ibound=0;ibound<num_bound;ibound++)
   {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
     }
   }
  
  // Complete the build of all elements so they are fully functional
  
  //Find number of elements in mesh
  const unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements to set up element-specific
  // things that cannot be handled by constructor
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
    
    //Set the source function pointer
    el_pt->source_fct_pt() = Source_fct_pt;
   }
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
  
  apply_boundary_conditions();
  
 }

References i, and oomph::Source_fct_pt.

◆ complete_problem_setup() [2/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::complete_problem_setup ( )

private

◆ complete_problem_setup() [3/3]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::complete_problem_setup ( )

private

◆ complex_domain_with_holes()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::complex_domain_with_holes

private

Builds a complex domain with holes.

 {
   unsigned boundary_id;
   
   // ---------------------------------------------------------------------
   // >> Boundary 0
   const unsigned num_vertices_b0 = 6;
   
   Vector<Vector <double> > vertices_b0(num_vertices_b0);
   
   for (unsigned i = 0; i < num_vertices_b0; i++)
     vertices_b0[i].resize(2);
   
   vertices_b0[0][0] = 0;
   vertices_b0[0][1] = 0;
   
   vertices_b0[1][0] = 7.5;
   vertices_b0[1][1] = 0;
   
   vertices_b0[2][0] = 7.5;
   vertices_b0[2][1] = 5;
   
   vertices_b0[3][0] = 12.5;
   vertices_b0[3][1] = 5;
   
   vertices_b0[4][0] = 12.5;
   vertices_b0[4][1] = 0;
   
   vertices_b0[5][0] = 20;
   vertices_b0[5][1] = 0;
   
   boundary_id = 0;
   TriangleMeshPolyLine *boundary0_pt =
     new TriangleMeshPolyLine(vertices_b0, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 1
   const unsigned num_segments_b1 = 10;
   double x_centre_b1 = 10.0;
   double y_centre_b1 = 0.0;
   double r_circle_b1 = 10.0;
   
   Circle *boundary_circle_b1_pt = 
     new Circle(x_centre_b1, y_centre_b1, r_circle_b1);
   
   double z_start_b1 = 0.0;
   double z_end_b1 = MathematicalConstants::Pi;
   
   boundary_id = 1;
   TriangleMeshCurviLine *boundary1_pt = 
     new TriangleMeshCurviLine(boundary_circle_b1_pt,
                               z_start_b1,
                               z_end_b1,
                               num_segments_b1,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Building the OUTER BOUNDARY
   
   // >> Setting up the domain with PolyLines
   
   Vector<TriangleMeshCurveSection*> outer_boundary_curve_section_pt(2);
  
   outer_boundary_curve_section_pt[0] = boundary0_pt;
   outer_boundary_curve_section_pt[1] = boundary1_pt;
   
   // We have only one outer boundary (one outer polygon)
   Vector<TriangleMeshClosedCurve *> outer_boundary_pt(1);
   outer_boundary_pt[0] = 
     new TriangleMeshClosedCurve(outer_boundary_curve_section_pt);
   
   // Now create an internal polygon that will represent a hole
   // ---------------------------------------------------------------------
   // This hole has a similar geometry as the outer domain but rotated 90'
   
   // >> Boundary 2
   const unsigned num_vertices_b2 = 6;
   
   Vector<Vector <double> > vertices_b2(num_vertices_b2);
   
   for (unsigned i = 0; i < num_vertices_b2; i++)
     vertices_b2[i].resize(2);
   
   vertices_b2[0][0] = 14;
   vertices_b2[0][1] = 7;
   
   vertices_b2[1][0] = 14;
   vertices_b2[1][1] = 5;
   
   vertices_b2[2][0] = 15;
   vertices_b2[2][1] = 5;
   
   vertices_b2[3][0] = 15;
   vertices_b2[3][1] = 3;
   
   vertices_b2[4][0] = 14;
   vertices_b2[4][1] = 3;
   
   vertices_b2[5][0] = 14;
   vertices_b2[5][1] = 1;
   
   boundary_id = 2;
   TriangleMeshPolyLine *boundary2_pt =
     new TriangleMeshPolyLine(vertices_b2, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 3
   const unsigned num_segments_b3 = 10;
   double x_centre_b3 = 14.0;
   double y_centre_b3 = 4.0;
   double r_circle_b3 = 3.0;
   
   Circle *boundary_circle_b3_pt=new Circle(x_centre_b3,y_centre_b3,r_circle_b3);
   
   double z_start_b3 = MathematicalConstants::Pi * (3.0 / 2.0);
   double z_end_b3 = MathematicalConstants::Pi * (5.0 / 2.0);
   
   boundary_id = 3;
   TriangleMeshCurviLine *boundary3_pt = 
     new TriangleMeshCurviLine(boundary_circle_b3_pt,
                               z_start_b3,
                               z_end_b3,
                               num_segments_b3,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // Another internal polygon (hole). A hole shaped as a square
   // >> Boundary 4
   const unsigned num_vertices_b4 = 3;
   
   Vector<Vector <double> > vertices_b4(num_vertices_b4);
   
   for (unsigned i = 0; i < num_vertices_b4; i++)
     vertices_b4[i].resize(2);
   
   vertices_b4[0][0] = 3;
   vertices_b4[0][1] = 1;
   
   vertices_b4[1][0] = 3;
   vertices_b4[1][1] = 2.5;
   
   vertices_b4[2][0] = 3;
   vertices_b4[2][1] = 4;
   
   boundary_id = 4;
   TriangleMeshPolyLine *boundary4_pt =
     new TriangleMeshPolyLine(vertices_b4, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 5
   const unsigned num_vertices_b5 = 3;
   
   Vector<Vector <double> > vertices_b5(num_vertices_b5);
   
   for (unsigned i = 0; i < num_vertices_b5; i++)
     vertices_b5[i].resize(2);
   
   vertices_b5[0][0] = 3;
   vertices_b5[0][1] = 4;
   
   vertices_b5[1][0] = 4.5;
   vertices_b5[1][1] = 4;
   
   vertices_b5[2][0] = 6;
   vertices_b5[2][1] = 4;
   
   boundary_id = 5;
   TriangleMeshPolyLine *boundary5_pt =
     new TriangleMeshPolyLine(vertices_b5, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 6
   const unsigned num_vertices_b6 = 3;
   
   Vector<Vector <double> > vertices_b6(num_vertices_b6);
   
   for (unsigned i = 0; i < num_vertices_b6; i++)
     vertices_b6[i].resize(2);
   
   vertices_b6[0][0] = 6;
   vertices_b6[0][1] = 4;
   
   vertices_b6[1][0] = 6;
   vertices_b6[1][1] = 2.5;
   
   vertices_b6[2][0] = 6;
   vertices_b6[2][1] = 1;
   
   boundary_id = 6;
   TriangleMeshPolyLine *boundary6_pt =
     new TriangleMeshPolyLine(vertices_b6, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 7
   const unsigned num_vertices_b7 = 3;
   
   Vector<Vector <double> > vertices_b7(num_vertices_b7);
   
   for (unsigned i = 0; i < num_vertices_b7; i++)
     vertices_b7[i].resize(2);
   
   vertices_b7[0][0] = 6;
   vertices_b7[0][1] = 1;
   
   vertices_b7[1][0] = 4.5;
   vertices_b7[1][1] = 1;
   
   vertices_b7[2][0] = 3;
   vertices_b7[2][1] = 1;
   
   boundary_id = 7;
   TriangleMeshPolyLine *boundary7_pt =
     new TriangleMeshPolyLine(vertices_b7, boundary_id);
   
   // ---------------------------------------------------------------------
   // Another hole (internal polygon), created as a circle
   // >> Boundary 8
   const unsigned num_segments_b8 = 10;
   double x_centre_b8 = 10.0;
   double y_centre_b8 = 7.5;
   double r_circle_b8 = 1.0;
   
   Circle *boundary_circle_b8_pt=new Circle(x_centre_b8,y_centre_b8,r_circle_b8);
   
   double z_start_b8 = 0.0;
   double z_end_b8 = MathematicalConstants::Pi;
   
   boundary_id = 8;
   TriangleMeshCurviLine *boundary8_pt = 
     new TriangleMeshCurviLine(boundary_circle_b8_pt,
                               z_start_b8,
                               z_end_b8,
                               num_segments_b8,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 9
   const unsigned num_segments_b9 = 10;
   double x_centre_b9 = 10.0;
   double y_centre_b9 = 7.5;
   double r_circle_b9 = 1.0;
   
   Circle *boundary_circle_b9_pt=new Circle(x_centre_b9,y_centre_b9,r_circle_b9);
   
   double z_start_b9 = MathematicalConstants::Pi;
   double z_end_b9 = 2.0 * MathematicalConstants::Pi;
   
   boundary_id = 9;
   TriangleMeshCurviLine *boundary9_pt = 
     new TriangleMeshCurviLine(boundary_circle_b9_pt,
                               z_start_b9,
                               z_end_b9,
                               num_segments_b9,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // ---------------------------------------------------------------------
   // >> Building the INTERNAL BOUNDARIES
   
   // Set the holes information (indicate the number of holes)
   const unsigned nholes = 3;
   
   Vector<TriangleMeshClosedCurve*> inner_boundaries_pt(nholes);
   Vector<Vector<TriangleMeshCurveSection*> > 
     inner_boundary_curve_section_pt(nholes);
   
   // -----------------
   // 1st hole
   inner_boundary_curve_section_pt[0].resize(2);
   
   inner_boundary_curve_section_pt[0][0] = boundary2_pt;
   inner_boundary_curve_section_pt[0][1] = boundary3_pt;
   
   // Set the coordinates to mark the holes (1st hole)
   Vector<double> hole1(2);
   hole1[0] = 16.0;
   hole1[1] = 4.0;
   
   // -----------------
   // 2nd hole
   inner_boundary_curve_section_pt[1].resize(4);
  
   inner_boundary_curve_section_pt[1][0] = boundary4_pt;
   inner_boundary_curve_section_pt[1][1] = boundary5_pt;
   inner_boundary_curve_section_pt[1][2] = boundary6_pt;
   inner_boundary_curve_section_pt[1][3] = boundary7_pt;
   
   // Set the coordinates to mark the holes (1st hole)
   Vector<double> hole2(2);
   hole2[0] = 4.5;
   hole2[1] = 2.5;
   
   // -----------------
   // 3rd hole
   inner_boundary_curve_section_pt[2].resize(2);
   
   inner_boundary_curve_section_pt[2][0] = boundary8_pt;
   inner_boundary_curve_section_pt[2][1] = boundary9_pt;
   
   // Set the coordinates to mark the holes (1st hole)
   Vector<double> hole3(2);
   hole3[0] = 10.0;
   hole3[1] = 7.5;
   
   // Store the holes geometries
   inner_boundaries_pt[0] = 
     new TriangleMeshClosedCurve(inner_boundary_curve_section_pt[0],hole1);
   
   inner_boundaries_pt[1] = 
     new TriangleMeshClosedCurve(inner_boundary_curve_section_pt[1],hole2);
   
   inner_boundaries_pt[2] = 
     new TriangleMeshClosedCurve(inner_boundary_curve_section_pt[2],hole3);
  
   // ---------------------------------------------------------------------
   // Store the geometry of the domain in the Triangle_mesh_parameters
   // object
   
   // ---------------------------------------------------------------------
   // Create the TriangleMeshParameters object and set the outer
   // boundary
   Triangle_mesh_parameters.outer_boundary_pt() = outer_boundary_pt;
   // Set the pointer to internal boundaries (holes)
   Triangle_mesh_parameters.internal_closed_curve_pt() = inner_boundaries_pt;
   
 }

References i, BiharmonicTestFunctions2::Pi, and resize().

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ doc_solution() [1/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	const unsigned &	nplot,
		DocInfo &	doc_info
	)

Doc the solution.

 { 
  
  ofstream some_file;
  char filename[100];
  
  
  // Doc local node numbering
  //-------------------------
  sprintf(filename,"%s/node_numbering%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  FiniteElement* el_pt=mesh_pt()->finite_element_pt(0);
  unsigned nnode=el_pt->nnode();
  unsigned ndim=el_pt->node_pt(0)->ndim();
  for (unsigned j=0;j<nnode;j++)
   {
    for (unsigned i=0;i<ndim;i++)
     {
      some_file << el_pt->node_pt(j)->x(i) << " " ;
     }
    some_file << j << std::endl;
   }
  some_file.close();
  
  // Output boundaries
  //------------------
  sprintf(filename,"%s/boundaries%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output_boundaries(some_file);
  some_file.close();
  
  
  // Output solution
  //----------------
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output(some_file,nplot);
  some_file.close();
  
  
  // Output exact solution 
  //----------------------
  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output_fct(some_file,nplot,TanhSolnForPoisson::get_exact_u); 
  some_file.close();
  
  // Doc error
  //----------
  double error,norm;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
                           error,norm); 
  some_file.close();
  cout << "error: " << sqrt(error) << std::endl; 
  cout << "norm : " << sqrt(norm) << std::endl << std::endl;
  
 } // end of doc

References oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, TanhSolnForPoisson::get_exact_u(), i, j, oomph::Node::ndim(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::DocInfo::number(), sqrt(), and oomph::Node::x().

◆ doc_solution() [2/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	const unsigned &	nplot,
		DocInfo &	doc_info
	)

Doc the solution.

◆ doc_solution() [3/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution: doc_info contains labels/output directory etc.

Doc the solution.

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

 { 
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points: npts x npts
  unsigned npts=5;
  
  // Output solution 
  //-----------------
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output(some_file,npts);
  some_file.close();
  
  
  // Output exact solution 
  //----------------------
  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output_fct(some_file,npts,TanhSolnForPoisson::get_exact_u); 
  some_file.close();
  
  // Doc error and return of the square of the L2 error
  //---------------------------------------------------
  double error,norm;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
                           error,norm); 
  some_file.close();
  
  // Doc L2 error and norm of solution
  cout << "\nNorm of error   : " << sqrt(error) << endl;
  cout << "Norm of solution: " << sqrt(norm) << endl << endl;
  
 } // end of doc

References oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, TanhSolnForPoisson::get_exact_u(), oomph::DocInfo::number(), and sqrt().

◆ doc_solution() [4/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [5/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [6/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [7/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

◆ doc_solution() [8/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

◆ doc_solution() [9/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

◆ doc_solution() [10/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

◆ doc_solution() [11/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

◆ doc_solution() [12/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [13/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [14/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [15/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [16/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [17/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [18/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution. DocInfo object stores flags/labels for where the output gets written to

◆ doc_solution() [19/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ofstream &	trace_file
	)

Doc the solution.

Doc the solution (when working in parallel each processor creates output files, thus we must be careful with the naming of the output files)

 {
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts;
  npts=2;
  
  // Disable the output of halo element so that in the output we only
  // see those elements that the processor is in charge
  mesh_pt()->disable_output_of_halo_elements();
  
  // Output solution (be careful with the naming of the output files,
  // each file can be identified by the processor id
  //  ----------------
  sprintf(filename,"%s/soln%i_proc%i.dat",
          doc_info.directory().c_str(),
          doc_info.number(),
          this->communicator_pt()->my_rank());
  
  some_file.open(filename);
  mesh_pt()->output(some_file,npts);
  some_file.close();
  
  // Output exact solution (output files in parallel)
  //----------------
  sprintf(filename,"%s/exact_soln%i_proc%i.dat",
          doc_info.directory().c_str(),
          doc_info.number(),
          this->communicator_pt()->my_rank());
  
  some_file.open(filename);
  mesh_pt()->output_fct(some_file,npts,TanhSolnForPoisson::get_exact_u);
  some_file.close();
  
  // Doc error (local to the processor, only consider the elements that
  // the processor is in charge)
  // -----------
  double error,norm;
  mesh_pt()->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
                           error,norm);
  cout << "error: " << sqrt(error) << std::endl;
  cout << "norm : " << sqrt(norm) << std::endl << std::endl;
  
  // Because we want the global norm we need to send/receive
  // information to/from the other processors
  double norm_soln=0.0;
  mesh_pt()->compute_norm(norm_soln);  
 #ifdef OOMPH_HAS_MPI
  if (mesh_pt()->is_mesh_distributed())
   {
    double norm_reduced = 0.0;
    MPI_Allreduce(&norm_soln, &norm_reduced, 1, MPI_DOUBLE, MPI_SUM, 
                  this->communicator_pt()->mpi_comm());
    
    cout << "norm reduced: " << sqrt(norm_reduced) << std::endl << std::endl;
    
    // Output the global norm which considers all processors
    trace_file << sqrt(norm_reduced) << std::endl;
   }
 #endif
  
 }

References oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, TanhSolnForPoisson::get_exact_u(), oomph::DocInfo::number(), and sqrt().

◆ doc_solution() [20/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ofstream &	trace_file
	)

Doc the solution.

◆ doc_solution() [21/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ofstream &	trace_file
	)

Doc the solution.

◆ doc_solution() [22/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ostream &	convergence_file
	)

Doc the solution.

 { 
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts;
  npts=5;
  
  
  // Switch on full validation during self test
  if (CommandLineArgs::Argc>1)
   {
    // Output boundaries
    //------------------
    sprintf(filename,"%s/boundaries.dat",doc_info.directory().c_str());
    some_file.open(filename);
    mesh_pt()->output_boundaries(some_file);
    some_file.close();
    
    // Output solution
    //----------------
    sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
            doc_info.number());
    some_file.open(filename);
    mesh_pt()->output(some_file,npts);
    some_file.close();
    
    // Output exact solution 
    //----------------------
    sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
            doc_info.number());
    some_file.open(filename);
    mesh_pt()->output_fct(some_file,npts,TanhSolnForPoisson::get_exact_u); 
    some_file.close();
   }
  
  // Doc error
  //----------
  double error,norm;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
                           error,norm); 
  some_file.close();
  cout << "error: " << sqrt(error) << std::endl; 
  cout << "norm : " << sqrt(norm) << std::endl << std::endl;
  
  double log_h=log(1.0/double(pow(2.0,int(H_power))));
  convergence_file << log_h << " "  
                   << log(sqrt(error)) << " ";
  
  unsigned nnode_1d=mesh_pt()->finite_element_pt(0)->nnode_1d();
  switch (nnode_1d)
   {
   case 2:
    convergence_file << 2.0*log_h+4.0 << " ";
    break;
  
   case 3:
    convergence_file << 3.0*log_h+4.0 << " ";
    break;
  
   case 4:
    convergence_file << 4.0*log_h+4.0 << " ";
    break;
  
   default:
    throw OomphLibError("Never get here",
                        OOMPH_CURRENT_FUNCTION,
                        OOMPH_EXCEPTION_LOCATION);
   }
  
   convergence_file << sqrt(norm) << std::endl;
 }

References oomph::CommandLineArgs::Argc, oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, TanhSolnForPoisson::get_exact_u(), Eigen::bfloat16_impl::log(), oomph::DocInfo::number(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, Eigen::ArrayBase< Derived >::pow(), and sqrt().

◆ doc_solution() [23/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ostream &	convergence_file
	)

Doc the solution.

◆ doc_solution() [24/24]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ostream &	convergence_file
	)

Doc the solution.

◆ half_circle_domain()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::half_circle_domain

private

Builds the half circle domain.

 {
   unsigned boundary_id;
   
   // ---------------------------------------------------------------------
   // >> Boundary 0
   const unsigned num_vertices_b0 = 2;
   
   Vector<Vector <double> > vertices_b0(num_vertices_b0);
   
   for (unsigned i = 0; i < num_vertices_b0; i++)
     vertices_b0[i].resize(2);
   
   vertices_b0[0][0] = 0;
   vertices_b0[0][1] = 0;
  
   vertices_b0[1][0] = 2;
   vertices_b0[1][1] = 0;
   
   boundary_id = 0;
   TriangleMeshPolyLine *boundary0_pt =
     new TriangleMeshPolyLine(vertices_b0, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 1
   const unsigned num_segments_b1 = 10;
   double x_centre_b1 = 1.0;
   double y_centre_b1 = 0.0;
   double r_circle_b1 = 1.0;
   
   Circle *boundary_circle_b1_pt = 
     new Circle(x_centre_b1, y_centre_b1, r_circle_b1);
   
   double z_start_b1 = 0.0;
   double z_end_b1 = MathematicalConstants::Pi;
   
   boundary_id = 1;
   TriangleMeshCurviLine *boundary1_pt = 
     new TriangleMeshCurviLine(boundary_circle_b1_pt,
                               z_start_b1,
                               z_end_b1,
                               num_segments_b1,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Building the OUTER BOUNDARY
   
   // >> Setting up the domain with PolyLines
   
   Vector<TriangleMeshCurveSection*> outer_boundary_curve_section_pt(2);
  
   outer_boundary_curve_section_pt[0] = boundary0_pt;
   outer_boundary_curve_section_pt[1] = boundary1_pt;
   
   // We have only one outer boundary (one outer polygon)
   Vector<TriangleMeshClosedCurve *> outer_boundary_pt(1);
   outer_boundary_pt[0] = 
     new TriangleMeshClosedCurve(outer_boundary_curve_section_pt);
   
   // ---------------------------------------------------------------------
   // Store the domain configuration in the Triangle_mesh_parameters
   // object
   Triangle_mesh_parameters.outer_boundary_pt() = outer_boundary_pt;
   
 }

References i, BiharmonicTestFunctions2::Pi, and resize().

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ half_circle_domain_with_internal_boundaries()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::half_circle_domain_with_internal_boundaries

private

Builds the half circle with straight internal boundaries.

 {
   unsigned boundary_id;
   
   // ---------------------------------------------------------------------
   // >> Boundary 0
   const unsigned num_vertices_b0 = 6;
   
   Vector<Vector <double> > vertices_b0(num_vertices_b0);
   
   for (unsigned i = 0; i < num_vertices_b0; i++)
     vertices_b0[i].resize(2);
   
   vertices_b0[0][0] = 0;
   vertices_b0[0][1] = 0;
   
   vertices_b0[1][0] = 7.5;
   vertices_b0[1][1] = 0;
   
   vertices_b0[2][0] = 7.5;
   vertices_b0[2][1] = 5;
   
   vertices_b0[3][0] = 12.5;
   vertices_b0[3][1] = 5;
  
   vertices_b0[4][0] = 12.5;
   vertices_b0[4][1] = 0;
   
   vertices_b0[5][0] = 20;
   vertices_b0[5][1] = 0;
   
   boundary_id = 0;
   TriangleMeshPolyLine *boundary0_pt =
     new TriangleMeshPolyLine(vertices_b0, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 1
   const unsigned num_segments = 10;
   const double x_centre = 10.0;
   const double y_centre = 0.0;
   const double r_circle = 10.0;
   
   Circle *boundary_circle_pt = new Circle(x_centre, y_centre, r_circle);
  
   const double z_start = 0.0;
   const double z_end = MathematicalConstants::Pi;
   
   boundary_id = 1;
   TriangleMeshCurviLine *boundary1_pt = 
     new TriangleMeshCurviLine(boundary_circle_pt,
                               z_start,
                               z_end,
                               num_segments,
                               boundary_id);
   
   // ---------------------------------------------------------------------
   // ---------------------------------------------------------------------
   // Internal boundaries (open curves)
   // ---------------------------------------------------------------------
   // >> Boundary 2
   const unsigned num_vertices_b2 = 3;
   Vector<Vector<double> > verticesb2(num_vertices_b2);
   
   for (unsigned i = 0; i < num_vertices_b2; i++)
     verticesb2[i].resize(2);
   
   verticesb2[0][0] = 6;
   verticesb2[0][1] = 6;
   
   verticesb2[1][0] = 7.5;
   verticesb2[1][1] = 6;
   
   verticesb2[2][0] = 9;
   verticesb2[2][1] = 6;
   
   boundary_id = 2;
   TriangleMeshPolyLine *boundary2_pt =
     new TriangleMeshPolyLine(verticesb2, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 3
   const unsigned num_vertices_b3 = 3;
   Vector<Vector<double> > verticesb3(num_vertices_b3);
   
   for (unsigned i = 0; i < num_vertices_b3; i++)
   verticesb3[i].resize(2);
   
   verticesb3[0][0] = 9;
   verticesb3[0][1] = 6;
   
   verticesb3[1][0] = 10;
   verticesb3[1][1] = 6;
  
   verticesb3[2][0] = 11;
   verticesb3[2][1] = 6;
   
   boundary_id = 3;
   TriangleMeshPolyLine *boundary3_pt =
     new TriangleMeshPolyLine(verticesb3, boundary_id);
  
   // ---------------------------------------------------------------------
   // >> Boundary 4
   const unsigned num_vertices_b4 = 3;
   Vector<Vector<double> > verticesb4(num_vertices_b4);
   
   for (unsigned i = 0; i < num_vertices_b4; i++)
     verticesb4[i].resize(2);
   
   verticesb4[0][0] = 11;
   verticesb4[0][1] = 6;
   
   verticesb4[1][0] = 12.5;
   verticesb4[1][1] = 6;
   
   verticesb4[2][0] = 14;
   verticesb4[2][1] = 6;
   
   boundary_id = 4;
   TriangleMeshPolyLine *boundary4_pt =
     new TriangleMeshPolyLine(verticesb4, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 5
   const unsigned num_vertices_b5 = 3;
   Vector<Vector<double> > verticesb5(num_vertices_b5);
   
   for (unsigned i = 0; i < num_vertices_b5; i++)
     verticesb5[i].resize(2);
   
   verticesb5[0][0] = 7;
   verticesb5[0][1] = 7;
   
   verticesb5[1][0] = 10;
   verticesb5[1][1] = 7;
   
   verticesb5[2][0] = 13;
   verticesb5[2][1] = 7;
   
   boundary_id = 5;
   TriangleMeshPolyLine *boundary5_pt =
     new TriangleMeshPolyLine(verticesb5, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Building the OUTER BOUNDARY
   Vector<TriangleMeshCurveSection*> outer_boundary_polylines_pt(2);
   
   outer_boundary_polylines_pt[0] = boundary0_pt;
   outer_boundary_polylines_pt[1] = boundary1_pt;
   
   // We have only one outer boundary (one outer polygon)
   Vector<TriangleMeshClosedCurve *> outer_boundary_pt(1);
   outer_boundary_pt[0] = 
     new TriangleMeshClosedCurve(outer_boundary_polylines_pt);
  
   // ---------------------------------------------------------------------
   // >> Building the OPEN BOUNDARIES
   
   // We have two open curves
   Vector<TriangleMeshOpenCurve *> open_curve_pt(2);
   
   // The first open curve is formed by the following boundaries
   Vector<TriangleMeshCurveSection*> open_curve_one_pt(3);
   open_curve_one_pt[0] = boundary2_pt;
   open_curve_one_pt[1] = boundary3_pt;
   open_curve_one_pt[2] = boundary4_pt;
  
   open_curve_pt[0] = new TriangleMeshOpenCurve(open_curve_one_pt);
   
   // The second open curve is formed by only one boundary
   Vector<TriangleMeshCurveSection*> open_curve_two_pt(1);
   open_curve_two_pt[0] = boundary5_pt;
   
   open_curve_pt[1] = new TriangleMeshOpenCurve(open_curve_two_pt);
   
   // ---------------------------------------------------------------------
   // Store the geometry of the domain in the Triangle_mesh_parameters
   // object
   
   // >> Create the TriangleMeshParameters object
   Triangle_mesh_parameters.outer_boundary_pt() = outer_boundary_pt;
   // Set the pointer to internal open boundaries
   Triangle_mesh_parameters.internal_open_curves_pt() = open_curve_pt;
   
 }

References i, BiharmonicTestFunctions2::Pi, and resize().

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ is_problem_nonlinear() [1/2]

template<class ELEMENT >

bool PoissonProblem< ELEMENT >::is_problem_nonlinear ( ) const

inline

Return the flag to determine whether the problem is being treated as linear or nonlinear

114 {return Problem::Problem_is_nonlinear;}

◆ is_problem_nonlinear() [2/2]

template<class ELEMENT >

bool PoissonProblem< ELEMENT >::is_problem_nonlinear ( ) const

inline

Return the flag to determine whether the problem is being treated as linear or nonlinear

112 {return Problem::Problem_is_nonlinear;}

◆ mesh_pt() [1/15]

template<class ELEMENT >

RefineableRectangularQuadMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Overloaded version of the problem's access function to the mesh. Recasts the pointer to the base Mesh object to the actual mesh type.

   {
    return dynamic_cast<RefineableRectangularQuadMesh<ELEMENT>*>(
     Problem::mesh_pt());
   }

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ mesh_pt() [2/15]

template<class ELEMENT >

RefineableRectangularQuadMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Overloaded version of the problem's access function to the mesh. Recasts the pointer to the base Mesh object to the actual mesh type.

   {
    return dynamic_cast<RefineableRectangularQuadMesh<ELEMENT>*>(
     Problem::mesh_pt());
   }

◆ mesh_pt() [3/15]

template<class ELEMENT >

GeompackQuadMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<GeompackQuadMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [4/15]

template<class ELEMENT >

TriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<TriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [5/15]

template<class ELEMENT >

TriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

       {
     return dynamic_cast<TriangleMesh<ELEMENT>*>(Problem::mesh_pt());
       }

◆ mesh_pt() [6/15]

template<class ELEMENT >

TetgenMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<TetgenMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [7/15]

template<class ELEMENT >

TriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<TriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [8/15]

template<class ELEMENT >

TriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<TriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [9/15]

template<class ELEMENT >

RefineableTriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<RefineableTriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [10/15]

template<class ELEMENT >

RefineableTriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<RefineableTriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [11/15]

template<class ELEMENT >

RefineableTriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<RefineableTriangleMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [12/15]

template<class ELEMENT >

RefineableRectangularQuadMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

Overloaded version of the problem's access function to the mesh. Recasts the pointer to the base Mesh object to the actual mesh type.

   {
    return dynamic_cast<RefineableRectangularQuadMesh<ELEMENT>*>(
     Problem::mesh_pt());
   }

◆ mesh_pt() [13/15]

template<class ELEMENT >

TetgenMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<TetgenMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [14/15]

template<class ELEMENT >

SimpleRectangularTriMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<SimpleRectangularTriMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ mesh_pt() [15/15]

template<class ELEMENT >

SimpleCubicTetMesh<ELEMENT>* PoissonProblem< ELEMENT >::mesh_pt ( )

inline

   {
    return dynamic_cast<SimpleCubicTetMesh<ELEMENT>*>(Problem::mesh_pt());
   }

◆ newton_count() [1/3]

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::newton_count ( )

inline

Report number of Newton iterations taken.

110 {return Newton_count-1;}

◆ newton_count() [2/3]

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::newton_count ( )

inline

Report number of Newton iterations taken.

123 {return Newton_count-1;}

◆ newton_count() [3/3]

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::newton_count ( )

inline

Report number of Newton iterations taken.

127 {return Newton_count-1;}

◆ read_custom_distribution_from_file()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::read_custom_distribution_from_file ( Vector< unsigned > & output_distribution )

Read the distribution data.

 {
  // Get the rank of the processor
  const unsigned my_rank = this->communicator_pt()->my_rank();
  
  // Pointer for the file
  FILE *file_pt;
  // Store the file name
  char file_name[500];
  sprintf(file_name, "%s/input_distribution_%i.dat", 
          TestArguments::Folder_distribution_file.c_str(),
          my_rank);
  
  oomph_info << "Read custom distribution from file: " << file_name 
             << std::endl;
  
  // Try to open the file
  file_pt = fopen(file_name, "r");
  if (file_pt == 0)
   {
    // Error, the file could not be opened
    std::ostringstream error_stream;
    error_stream << "Input file could not be opened: " 
                 << file_name << std::endl;
    throw OomphLibError(error_stream.str(),
                        OOMPH_CURRENT_FUNCTION,
                        OOMPH_EXCEPTION_LOCATION);
   }
  
  // Read the number of data
  unsigned n_data = 0;
  int iret = fscanf(file_pt, "NDATA:(%i)\n", &n_data);
  // Increase iret to avoid warning
  iret++;
  // Read the number of meshes
  unsigned tmp_n_mesh = 0;
  iret = fscanf(file_pt, "NMESHES:(%i)\n", &tmp_n_mesh);
  
  // Get the number of meshes in the current problem
  const unsigned n_sub_mesh = nsub_mesh();
  if (tmp_n_mesh != n_sub_mesh)
   {
    std::ostringstream error_message;
    error_message
      << "The number of sub-meshes in the input file is different from the "
      << "number of sub-meshes in the current problem\n"
      << "N.submeshes in problem: (" << n_sub_mesh << ")\n"
      << "N.submeshes in input file (" << tmp_n_mesh << ")";
      throw OomphLibError(error_message.str(),
                          OOMPH_CURRENT_FUNCTION,
                          OOMPH_EXCEPTION_LOCATION);
   }
  
  // Clear the output data and resize according to the number of data
  // to read
  output_distribution.clear();
  output_distribution.resize(n_data);
  
  // Finally, after all test have been successful loop and read over
  // the data
  for (unsigned e = 0; e < n_data; e++)
   {
    unsigned counter = 0;
    iret = fscanf(file_pt, "ELEMENT(%i):PROCESSOR(%i)\n",
           &counter, &output_distribution[e]);
   }
  
  // Close the file
  fclose(file_pt);
  
  oomph_info << "Read custom distribution from file: " << file_name 
             << " [DONE]" << std::endl;
   
 }

References e(), Particles2023AnalysisHung::file_name, TestArguments::Folder_distribution_file, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::oomph_info.

◆ run_it()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::run_it ( DocInfo & doc_info )

Run the probl.

Run the problem.

 { 
  
  // Repeated assembly of Jacobian -- stored shape functions only
  // pay of on subsequent solves.
  DoubleVector residuals;
  CRDoubleMatrix jacobian;
  
  unsigned n_assemble=10;
  for (unsigned i=0;i<n_assemble;i++)
   {
    
    //  Initialise timers
    clock_t t_start = clock();
    
    // Assemble Jacobian and residual vector
    get_jacobian(residuals,jacobian);
    
    // Finish/doc timing
    clock_t t_end = clock();
    double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
    cout << "    ======================================================= " 
         << std::endl;
    cout << "    Time for " << i << "th jac/residual computation [sec]: " 
         << total_time << std::endl;
    cout << "    ======================================================= " 
         << std::endl;
   }
  
  
  
  // Solve as linear problem only
  this->set_problem_is_linear();
  
  //  Initialise timers
  clock_t t_start = clock();
  
  // Solve the problem
  newton_solve();
  
  // Finish/doc timing
  clock_t t_end = clock();
  double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
  cout << "======================================================= " << std::endl;
  cout << "Total time for Newton solve [sec]: " << total_time << std::endl;
  cout << "======================================================= " << std::endl;
  
  //Output the solution
  doc_solution(doc_info);
  
  //Increment counter for solutions 
  doc_info.number()++;
  
  // Give user a chance to check the memory usage
  cout << std::endl << std::endl;
  cout << "Execution is paused while problem is in core" << std::endl;
  pause("Have a look at the memory usage now"); 
  
  
 }

References i, oomph::DocInfo::number(), and oomph::pause().

◆ save_custom_distribution_to_file()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::save_custom_distribution_to_file ( Vector< unsigned > & input_distribution )

Saves the custom distribution to file.

Saves the custom (input) distribution to file.

 {
  // Get the rank of the processor
  const unsigned my_rank = this->communicator_pt()->my_rank();
  
  // Get the number of elements in the custom distribution
  const unsigned n_ele_custom_distribution = input_distribution.size();
  
  // Get the number of meshes in the current problem
  const unsigned n_sub_meshes = nsub_mesh();
  
  // Char for the output file name
  char file_name[500];
  // Set the name of the file
  sprintf(file_name, "DISTRIBUTION/input_distribution_%i.dat", my_rank);
  
  oomph_info << "Save custom distribution to file: " << file_name 
             << std::endl;
  
  // Open the file
  FILE* file_pt = fopen(file_name, "w");
  if (file_pt != NULL)
   {
    // Store the number of elements (DATA) in the mesh(es)
    fprintf(file_pt, "NDATA:(%i)\n", n_ele_custom_distribution);
    // Store the number of meshes
    fprintf(file_pt, "NMESHES:(%i)\n", n_sub_meshes);
    
    // Loop over the elements in the custom distribution and save it to
    // file
    for (unsigned e = 0; e < n_ele_custom_distribution; e++)
     {
      fprintf(file_pt, "ELEMENT(%i):PROCESSOR(%i)\n", e, input_distribution[e]);
     } // for (i < n_ele_custom_distribution)
    
   }
  else
    {
     // Error, the file could not be opened
     std::ostringstream error_stream;
     error_stream << "Output file could not be opened: " 
                  << file_name << std::endl;
     throw OomphLibError(error_stream.str(),
                         OOMPH_CURRENT_FUNCTION,
                         OOMPH_EXCEPTION_LOCATION);
    }
  
  // Close the output file
  fclose(file_pt);
  
  oomph_info << "Save custom distribution to file: " << file_name 
             << " [DONE]" << std::endl;
  
 }

References e(), Particles2023AnalysisHung::file_name, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::oomph_info.

◆ set_problem_is_linear() [1/2]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::set_problem_is_linear ( )

inline

Treat the problem as being linear.

110 {Problem::Problem_is_nonlinear = false;}

◆ set_problem_is_linear() [2/2]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::set_problem_is_linear ( )

inline

Treat the problem as being linear.

108 {Problem::Problem_is_nonlinear = false;}

◆ set_problem_is_nonlinear() [1/2]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::set_problem_is_nonlinear ( )

inline

Treat the problem as being nonlinear.

107 {Problem::Problem_is_nonlinear = true;}

◆ set_problem_is_nonlinear() [2/2]

template<class ELEMENT >

void PoissonProblem< ELEMENT >::set_problem_is_nonlinear ( )

inline

Treat the problem as being nonlinear.

105 {Problem::Problem_is_nonlinear = true;}

◆ square_domain()

template<class ELEMENT >

void PoissonProblem< ELEMENT >::square_domain

private

Builds the square domain mesh.

 {
   // Square domain
   unsigned boundary_id;
   const double length = 1.0;
   
   // ---------------------------------------------------------------------
   // >> Boundary 0
   const unsigned num_vertices_b0 = 2;
   
   Vector<Vector <double> > vertices(num_vertices_b0);
   
   for (unsigned i = 0; i < num_vertices_b0; i++)
     {
       vertices[i].resize(2);
     }
   
   vertices[0][0] = 0;
   vertices[0][1] = 0;
   
   vertices[1][0] = 0;
   vertices[1][1] = length;
   
   boundary_id = 0;
   TriangleMeshPolyLine *boundary0_pt =
     new TriangleMeshPolyLine(vertices, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 1
   const unsigned num_vertices_b1 = 2;
   
   vertices.resize(num_vertices_b1);
   for (unsigned i = 0; i < num_vertices_b1; i++)
     {
       vertices[i].resize(2);
     }
   
   vertices[0][0] = 0;
   vertices[0][1] = length;
   
   vertices[1][0] = length;
   vertices[1][1] = length;
   
   boundary_id = 1;
   TriangleMeshPolyLine *boundary1_pt =
     new TriangleMeshPolyLine(vertices, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 2
   const unsigned num_vertices_b2 = 2;
   
   vertices.resize(num_vertices_b2);
   for (unsigned i = 0; i < num_vertices_b2; i++)
     {
       vertices[i].resize(2);
     }
   
   vertices[0][0] = length;
   vertices[0][1] = length;
   
   vertices[1][0] = length;
   vertices[1][1] = 0;
     
   boundary_id = 2;
   TriangleMeshPolyLine *boundary2_pt = 
     new TriangleMeshPolyLine(vertices, boundary_id);
   
   // ---------------------------------------------------------------------
   // >> Boundary 3
   const unsigned num_vertices_b3 = 2;
   
   vertices.resize(num_vertices_b3);
   for (unsigned i = 0; i < num_vertices_b3; i++)
     {
       vertices[i].resize(2);
     }
   
   vertices[0][0] = length;
   vertices[0][1] = 0;
     
   vertices[1][0] = 0;
   vertices[1][1] = 0;
   
   boundary_id = 3;
   TriangleMeshPolyLine *boundary3_pt = 
     new TriangleMeshPolyLine(vertices, boundary_id);
  
   // ---------------------------------------------------------------------
   // >> Building the OUTER BOUNDARY
   
   // >> Setting up the domain with PolyLines
   
   Vector<TriangleMeshCurveSection*> outer_boundary_polylines_pt(4);
   
   outer_boundary_polylines_pt[0] = boundary0_pt;
   outer_boundary_polylines_pt[1] = boundary1_pt;
   outer_boundary_polylines_pt[2] = boundary2_pt;
   outer_boundary_polylines_pt[3] = boundary3_pt;
  
   // We have only one outer boundary (one outer polygon)
   Vector<TriangleMeshClosedCurve *> outer_boundary_pt(1);
   outer_boundary_pt[0] = 
     new TriangleMeshPolygon(outer_boundary_polylines_pt);
   
   // ---------------------------------------------------------------------
   // Store the domain configuration in the Triangle_mesh_parameters
   // object
   Triangle_mesh_parameters.outer_boundary_pt() = outer_boundary_pt; 
   
 }

References i.

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT >

RefineableTriangleMesh<ELEMENT>* PoissonProblem< ELEMENT >::Bulk_mesh_pt

private

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ Domain_configuration

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::Domain_configuration

private

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ Element_size

template<class ELEMENT >

double PoissonProblem< ELEMENT >::Element_size

private

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ Error_estimator_pt

template<class ELEMENT >

Z2ErrorEstimator* PoissonProblem< ELEMENT >::Error_estimator_pt

private

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ error_estimator_pt

template<class ELEMENT >

Z2ErrorEstimator * PoissonProblem< ELEMENT >::error_estimator_pt

Error estimator.

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ H_power

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::H_power

private

Exponent for h scaling.

◆ My_mesh_pt

template<class ELEMENT >

RefineableTriangleMesh< ELEMENT > * PoissonProblem< ELEMENT >::My_mesh_pt

private

◆ Newton_count

template<class ELEMENT >

unsigned PoissonProblem< ELEMENT >::Newton_count

private

Number of Newton iterations.

◆ Poisson_mesh_pt

template<class ELEMENT >

Mesh* PoissonProblem< ELEMENT >::Poisson_mesh_pt

private

Pointer to mesh with Poisson elements.

◆ Singular_poisson_solution1_element_pt

template<class ELEMENT >

SingularPoissonSolutionElement<ELEMENT>* PoissonProblem< ELEMENT >::Singular_poisson_solution1_element_pt

private

Pointer to the element defining the unknown C1 (Note: eqn element is templated by the wrapped element!)

◆ Singular_poisson_solution2_element_pt

template<class ELEMENT >

SingularPoissonSolutionElement<ELEMENT>* PoissonProblem< ELEMENT >::Singular_poisson_solution2_element_pt

private

Pointer to the element defining the unknown C2 (Note: eqn element is templated by the wrapped element!)

◆ Singular_poisson_solution_mesh_pt

template<class ELEMENT >

Mesh* PoissonProblem< ELEMENT >::Singular_poisson_solution_mesh_pt

private

Pointer to the C mesh associated with the elements defining the unknowns C1 and C2

◆ Source_fct_pt [1/2]

template<class ELEMENT >

PoissonEquations< 3 >::PoissonSourceFctPt PoissonProblem< ELEMENT >::Source_fct_pt

private

Pointer to source function.

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

◆ Source_fct_pt [2/2]

template<class ELEMENT >

PoissonEquations<3>::PoissonSourceFctPt PoissonProblem< ELEMENT >::Source_fct_pt

private

Pointer to source function.

◆ Trace_file

template<class ELEMENT >

ofstream PoissonProblem< ELEMENT >::Trace_file

private

Trace file to document norm of solution.

◆ Triangle_mesh_parameters

template<class ELEMENT >

TriangleMeshParameters PoissonProblem< ELEMENT >::Triangle_mesh_parameters

private

Referenced by PoissonProblem< ELEMENT >::PoissonProblem().

The documentation for this class was generated from the following files:

Public Member Functions

Public Attributes

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class PoissonProblem< ELEMENT >

Constructor & Destructor Documentation

◆ PoissonProblem() [1/24]

◆ ~PoissonProblem() [1/24]

◆ PoissonProblem() [2/24]

◆ ~PoissonProblem() [2/24]

◆ PoissonProblem() [3/24]

◆ ~PoissonProblem() [3/24]

◆ PoissonProblem() [4/24]

◆ ~PoissonProblem() [4/24]

◆ PoissonProblem() [5/24]

◆ ~PoissonProblem() [5/24]

◆ PoissonProblem() [6/24]

◆ ~PoissonProblem() [6/24]

◆ PoissonProblem() [7/24]

◆ ~PoissonProblem() [7/24]

◆ PoissonProblem() [8/24]

◆ ~PoissonProblem() [8/24]

◆ PoissonProblem() [9/24]

◆ ~PoissonProblem() [9/24]

◆ PoissonProblem() [10/24]

◆ ~PoissonProblem() [10/24]

◆ PoissonProblem() [11/24]

◆ ~PoissonProblem() [11/24]

◆ PoissonProblem() [12/24]

◆ ~PoissonProblem() [12/24]

◆ PoissonProblem() [13/24]

◆ ~PoissonProblem() [13/24]

◆ PoissonProblem() [14/24]

◆ ~PoissonProblem() [14/24]

◆ PoissonProblem() [15/24]

◆ ~PoissonProblem() [15/24]

◆ PoissonProblem() [16/24]

◆ ~PoissonProblem() [16/24]

◆ PoissonProblem() [17/24]

◆ ~PoissonProblem() [17/24]

◆ PoissonProblem() [18/24]

◆ ~PoissonProblem() [18/24]

◆ PoissonProblem() [19/24]

◆ ~PoissonProblem() [19/24]

◆ PoissonProblem() [20/24]

◆ ~PoissonProblem() [20/24]

◆ PoissonProblem() [21/24]

◆ ~PoissonProblem() [21/24]

◆ PoissonProblem() [22/24]

◆ ~PoissonProblem() [22/24]

◆ PoissonProblem() [23/24]

◆ ~PoissonProblem() [23/24]

◆ PoissonProblem() [24/24]

◆ ~PoissonProblem() [24/24]

Member Function Documentation

◆ actions_after_adapt() [1/3]

◆ actions_after_adapt() [2/3]

◆ actions_after_adapt() [3/3]

◆ actions_after_distribute()

◆ actions_after_newton_solve() [1/24]

◆ actions_after_newton_solve() [2/24]

◆ actions_after_newton_solve() [3/24]

◆ actions_after_newton_solve() [4/24]

◆ actions_after_newton_solve() [5/24]

◆ actions_after_newton_solve() [6/24]

◆ actions_after_newton_solve() [7/24]

◆ actions_after_newton_solve() [8/24]

◆ actions_after_newton_solve() [9/24]

◆ actions_after_newton_solve() [10/24]

◆ actions_after_newton_solve() [11/24]

◆ actions_after_newton_solve() [12/24]

◆ actions_after_newton_solve() [13/24]

◆ actions_after_newton_solve() [14/24]

◆ actions_after_newton_solve() [15/24]

◆ actions_after_newton_solve() [16/24]

◆ actions_after_newton_solve() [17/24]

◆ actions_after_newton_solve() [18/24]

◆ actions_after_newton_solve() [19/24]

template<class ELEMENT>
class PoissonProblem< ELEMENT >