RefineablePoissonProblem< ELEMENT > Class Template Reference
+ Inheritance diagram for RefineablePoissonProblem< ELEMENT >:

Public Member Functions

 RefineablePoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt, const int &n_power)
 
 ~RefineablePoissonProblem ()
 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)
 Doc the solution: doc_info contains labels/output directory etc. More...
 
SimpleRefineableRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
 RefineablePoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source function. More...
 
 ~RefineablePoissonProblem ()
 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)
 
SimpleRefineableRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
 RefineablePoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source function. More...
 
 ~RefineablePoissonProblem ()
 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)
 
SimpleRefineableRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
 RefineablePoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source function. More...
 
 ~RefineablePoissonProblem ()
 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)
 
SimpleRefineableRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
 RefineablePoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source functions. More...
 
 ~RefineablePoissonProblem ()
 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)
 Doc the solution. More...
 
MyRefineableRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
- 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
 
virtual void actions_before_adapt ()
 
virtual void actions_after_adapt ()
 Actions that are to be performed after a mesh adaptation. More...
 
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 ()
 

Private Attributes

PoissonEquations< 2 >::PoissonSourceFctPt Source_fct_pt
 Pointer to source function. 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...
 
- Public Attributes inherited from oomph::Problem
bool Shut_up_in_newton_solve
 
- 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_convergence_check ()
 
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 RefineablePoissonProblem< ELEMENT >

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

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

Constructor & Destructor Documentation

◆ RefineablePoissonProblem() [1/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt  source_fct_pt,
const int &  n_power 
)

Constructor: Pass pointer to source function and number of refinements for the base mesh. Mesh has 2^|n_power| x 2^|n_power| elements. If n_power>0 this is achieved by building a base mesh with that number of elements; if n_power<0, we apply the required number of uniform refinements to a 2x2 base mesh.

Constructor for Poisson problem: Pass pointer to source function and power for number of elements in base mesh.

212 {
213 
214  // Setup mesh
215  unsigned n_x,n_y;
216 
217  if (n_power>0)
218  {
219  // # of elements in x-direction
220  n_x=unsigned(pow(2.0,int(n_power)));
221 
222  // # of elements in y-direction
223  n_y=unsigned(pow(2.0,int(n_power)));
224  }
225  else
226  {
227  // # of elements in x-direction
228  n_x=2;
229 
230  // # of elements in y-direction
231  n_y=2;
232  }
233 
234  cout << " Building a " << n_x << " x " << n_y << " refineable base mesh."
235  << std::endl;
236 
237  // Domain length in x-direction
238  double l_x=1.0;
239 
240  // Domain length in y-direction
241  double l_y=2.0;
242 
243 
244  // Initialise timers
245  clock_t t_start = clock();
246 
247  // Build and assign mesh
248  Problem::mesh_pt() =
250 
251 
252  // Do uniform refinement if required
253  if (n_power<0)
254  {
255  for (int r=0;r<std::abs(n_power);r++)
256  {
257  cout << "Doing one round of uniform mesh refinement" << std::endl;
258  mesh_pt()->refine_uniformly();
259  }
260  }
261 
262  // Finish/doc timing
263  clock_t t_end = clock();
264  double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
265  cout << std::endl;
266  cout << "======================================================= " << std::endl;
267  cout << "Total time for Mesh setup [sec]: " << total_time << std::endl;
268  cout << "======================================================= " << std::endl;
269  cout << std::endl;
270 
271 
272  // Create/set error estimator
273  mesh_pt()->spatial_error_estimator_pt()=new Z2ErrorEstimator;
274 
275  // Set the boundary conditions for this problem: All nodes are
276  // free by default -- only need to pin the ones that have Dirichlet conditions
277  // here.
278  unsigned num_bound = mesh_pt()->nboundary();
279  for(unsigned ibound=0;ibound<num_bound;ibound++)
280  {
281  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
282  for (unsigned inod=0;inod<num_nod;inod++)
283  {
284  mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
285  }
286  }
287 
288  // Complete the build of all elements so they are fully functional
289 
290  // Loop over the elements to set up element-specific
291  // things that cannot be handled by the (argument-free!) ELEMENT
292  // constructor: Pass pointer to source function
293  unsigned n_element = mesh_pt()->nelement();
294  for(unsigned i=0;i<n_element;i++)
295  {
296  // Upcast from GeneralsedElement to the present element
297  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
298 
299  //Set the source function pointer
300  el_pt->source_fct_pt() = Source_fct_pt;
301  }
302 
303  // Setup equation numbering scheme
304  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
305 
306 } // end of constructor
AnnoyingScalar abs(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:135
int i
Definition: BiCGSTAB_step_by_step.cpp:9
PoissonEquations< 2 >::PoissonSourceFctPt Source_fct_pt
Pointer to source function.
Definition: optimisation/use_coarse_base_meshes/two_d_poisson_adapt.cc:197
SimpleRefineableRectangularQuadMesh< ELEMENT > * mesh_pt()
Definition: optimisation/use_coarse_base_meshes/two_d_poisson_adapt.cc:188
Definition: mpi/distribution/hanging_node_reconciliation/hp_adaptive_driven_cavity.cc:63
unsigned long assign_eqn_numbers(const bool &assign_local_eqn_numbers=true)
Definition: problem.cc:1989
Definition: error_estimator.h:266
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bfloat16 pow(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:625
r
Definition: UniformPSDSelfTest.py:20
GeneralisedAxisymAdvectionDiffusionSourceFctPt & source_fct_pt()
Access function: Pointer to source function.
Definition: gen_axisym_advection_diffusion_elements.h:229

References abs(), oomph::Problem::assign_eqn_numbers(), i, RefineablePoissonProblem< ELEMENT >::mesh_pt(), Eigen::bfloat16_impl::pow(), UniformPSDSelfTest::r, and RefineablePoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~RefineablePoissonProblem() [1/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::~RefineablePoissonProblem ( )
inline

Destructor (empty)

162 {};

◆ RefineablePoissonProblem() [2/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt  source_fct_pt)

Constructor: Pass pointer to source function.

Constructor for Poisson problem: Pass pointer to source function.

198 {
199 
200  // Setup mesh
201 
202  // # of elements in x-direction
203  unsigned n_x=4;
204 
205  // # of elements in y-direction
206  unsigned n_y=4;
207 
208  // Domain length in x-direction
209  double l_x=1.0;
210 
211  // Domain length in y-direction
212  double l_y=2.0;
213 
214  // Build and assign mesh
215  Problem::mesh_pt() =
217 
218  // Create/set error estimator
219  mesh_pt()->spatial_error_estimator_pt()=new Z2ErrorEstimator;
220 
221  // Set the boundary conditions for this problem: All nodes are
222  // free by default -- only need to pin the ones that have Dirichlet conditions
223  // here.
224  unsigned num_bound = mesh_pt()->nboundary();
225  for(unsigned ibound=0;ibound<num_bound;ibound++)
226  {
227  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
228  for (unsigned inod=0;inod<num_nod;inod++)
229  {
230  mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
231  }
232  }
233 
234  // Complete the build of all elements so they are fully functional
235 
236  // Loop over the elements to set up element-specific
237  // things that cannot be handled by the (argument-free!) ELEMENT
238  // constructor: Pass pointer to source function
239  unsigned n_element = mesh_pt()->nelement();
240  for(unsigned i=0;i<n_element;i++)
241  {
242  // Upcast from GeneralsedElement to the present element
243  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
244 
245  //Set the source function pointer
246  el_pt->source_fct_pt() = Source_fct_pt;
247  }
248 
249  // Setup equation numbering scheme
250  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
251 
252 } // end of constructor

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

◆ ~RefineablePoissonProblem() [2/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::~RefineablePoissonProblem ( )
inline

Destructor (empty)

159 {}

◆ RefineablePoissonProblem() [3/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt  source_fct_pt)

Constructor: Pass pointer to source function.

◆ ~RefineablePoissonProblem() [3/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::~RefineablePoissonProblem ( )
inline

Destructor (empty)

137 {}

◆ RefineablePoissonProblem() [4/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt  source_fct_pt)

Constructor: Pass pointer to source function.

◆ ~RefineablePoissonProblem() [4/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::~RefineablePoissonProblem ( )
inline

Destructor (empty)

144  {
145  delete mesh_pt()->spatial_error_estimator_pt();
146  delete Problem::mesh_pt();
147 
148  }

◆ RefineablePoissonProblem() [5/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem ( PoissonEquations< 2 >::PoissonSourceFctPt  source_fct_pt)

Constructor: Pass pointer to source functions.

◆ ~RefineablePoissonProblem() [5/5]

template<class ELEMENT >
RefineablePoissonProblem< ELEMENT >::~RefineablePoissonProblem ( )
inline

Destructor. Empty.

120 {};

Member Function Documentation

◆ actions_after_newton_solve() [1/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

169 {}

◆ actions_after_newton_solve() [2/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

166 {}

◆ actions_after_newton_solve() [3/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

144 {}

◆ actions_after_newton_solve() [4/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

155 {}

◆ actions_after_newton_solve() [5/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

127 {}

◆ actions_before_newton_solve() [1/5]

template<class ELEMENT >
void RefineablePoissonProblem< 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: (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 tanh solution.

Reimplemented from oomph::Problem.

317 {
318  // How many boundaries are there?
319  unsigned num_bound = mesh_pt()->nboundary();
320 
321  //Loop over the boundaries
322  for(unsigned ibound=0;ibound<num_bound;ibound++)
323  {
324  // How many nodes are there on this boundary?
325  unsigned num_nod=mesh_pt()->nboundary_node(ibound);
326 
327  // Loop over the nodes on boundary
328  for (unsigned inod=0;inod<num_nod;inod++)
329  {
330  // Get pointer to node
331  Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
332 
333  // Extract nodal coordinates from node:
334  Vector<double> x(2);
335  x[0]=nod_pt->x(0);
336  x[1]=nod_pt->x(1);
337 
338  // Compute the value of the exact solution at the nodal point
339  Vector<double> u(1);
341 
342  // Assign the value to the one (and only) nodal value at this node
343  nod_pt->set_value(0,u[0]);
344  }
345  }
346 } // end of actions before solve
void set_value(const unsigned &i, const double &value_)
Definition: nodes.h:271
Definition: nodes.h:906
double & x(const unsigned &i)
Return the i-th nodal coordinate.
Definition: nodes.h:1060
void get_exact_u(const Vector< double > &x, Vector< double > &u)
Exact solution as a Vector.
Definition: extrude_with_macro_element_representation.cc:206
list x
Definition: plotDoE.py:28

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

◆ actions_before_newton_solve() [2/5]

template<class ELEMENT >
void RefineablePoissonProblem< 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() [3/5]

template<class ELEMENT >
void RefineablePoissonProblem< 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() [4/5]

template<class ELEMENT >
void RefineablePoissonProblem< 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() [5/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::actions_before_newton_solve ( )
virtual

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

Reimplemented from oomph::Problem.

◆ doc_solution() [1/5]

template<class ELEMENT >
void RefineablePoissonProblem< 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

355 {
356 
357  ofstream some_file;
358  char filename[100];
359 
360  // Number of plot points: npts x npts
361  unsigned npts=5;
362 
363  // Output solution (C++ style)
364  //----------------------------
365  {
366  // Start timer
367  clock_t t_start = clock();
368 
369  // Do output
370  sprintf(filename,"%s/soln%i.cpp_style.dat",doc_info.directory().c_str(),
371  doc_info.number());
372  some_file.open(filename);
373  mesh_pt()->output(some_file,npts);
374  some_file.close();
375 
376  // Finish/doc timing
377  clock_t t_end = clock();
378  double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
379  cout << "------------------------------------------------------- " << std::endl;
380  cout << "Total time for C++ style output [sec]: " << total_time << std::endl;
381  cout << "------------------------------------------------------- " << std::endl;
382  }
383 
384 
385  // Output solution (C style)
386  //--------------------------
387  {
388  // Start timer
389  clock_t t_start = clock();
390 
391  // Do output
392  sprintf(filename,"%s/soln%i.c_style.dat",doc_info.directory().c_str(),
393  doc_info.number());
394  FILE* file_pt = fopen(filename,"w");
395  mesh_pt()->output(file_pt,npts);
396  fclose(file_pt);
397 
398  // Finish/doc timing
399  clock_t t_end = clock();
400  double total_time=double(t_end-t_start)/CLOCKS_PER_SEC;
401  cout << "------------------------------------------------------- " << std::endl;
402  cout << "Total time for C style output [sec]: " << total_time << std::endl;
403  cout << "------------------------------------------------------- " << std::endl;
404  }
405 
406 
407 
408  // Doc error and return of the square of the L2 error
409  //---------------------------------------------------
410  double error,norm;
411  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
412  doc_info.number());
413  some_file.open(filename);
414  mesh_pt()->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
415  error,norm);
416  some_file.close();
417 
418  // Doc L2 error and norm of solution
419  cout << "\nNorm of error : " << sqrt(error) << std::endl;
420  cout << "Norm of solution: " << sqrt(norm) << std::endl << std::endl;
421 
422 } // end of doc
AnnoyingScalar sqrt(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:134
std::string directory() const
Output directory.
Definition: oomph_utilities.h:524
unsigned & number()
Number used (e.g.) for labeling output files.
Definition: oomph_utilities.h:554
string filename
Definition: MergeRestartFiles.py:39
int error
Definition: calibrate.py:297

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

Referenced by parallel_test().

◆ doc_solution() [2/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

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

◆ doc_solution() [3/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

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

◆ doc_solution() [4/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

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

◆ doc_solution() [5/5]

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ is_problem_nonlinear()

template<class ELEMENT >
bool RefineablePoissonProblem< ELEMENT >::is_problem_nonlinear ( ) const
inline

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

179 {return Problem::Problem_is_nonlinear;}

◆ mesh_pt() [1/5]

template<class ELEMENT >
SimpleRefineableRectangularQuadMesh<ELEMENT>* RefineablePoissonProblem< 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.

189  {
191  (Problem::mesh_pt());
192  }

Referenced by parallel_test(), and RefineablePoissonProblem< ELEMENT >::RefineablePoissonProblem().

◆ mesh_pt() [2/5]

template<class ELEMENT >
SimpleRefineableRectangularQuadMesh<ELEMENT>* RefineablePoissonProblem< 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.

177  {
178  return dynamic_cast<SimpleRefineableRectangularQuadMesh<ELEMENT>*>(Problem::mesh_pt());
179  }

◆ mesh_pt() [3/5]

template<class ELEMENT >
SimpleRefineableRectangularQuadMesh<ELEMENT>* RefineablePoissonProblem< 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.

154  {
155  return dynamic_cast<SimpleRefineableRectangularQuadMesh<ELEMENT>*>(
156  Problem::mesh_pt());
157  }

◆ mesh_pt() [4/5]

template<class ELEMENT >
SimpleRefineableRectangularQuadMesh<ELEMENT>* RefineablePoissonProblem< 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.

165  {
166  return dynamic_cast<SimpleRefineableRectangularQuadMesh<ELEMENT>*>(
167  Problem::mesh_pt());
168  }

◆ mesh_pt() [5/5]

template<class ELEMENT >
MyRefineableRectangularQuadMesh<ELEMENT>* RefineablePoissonProblem< 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.

136  {
137  return dynamic_cast<MyRefineableRectangularQuadMesh<ELEMENT>*>(
138  Problem::mesh_pt());
139  }
Upgraded mesh.
Definition: two_d_mesh_dist.cc:52

◆ set_problem_is_linear()

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::set_problem_is_linear ( )
inline

Treat the problem as being linear.

175 {Problem::Problem_is_nonlinear = false;}

◆ set_problem_is_nonlinear()

template<class ELEMENT >
void RefineablePoissonProblem< ELEMENT >::set_problem_is_nonlinear ( )
inline

Treat the problem as being nonlinear.

172 {Problem::Problem_is_nonlinear = true;}

Member Data Documentation

◆ Source_fct_pt

template<class ELEMENT >
PoissonEquations< 2 >::PoissonSourceFctPt RefineablePoissonProblem< ELEMENT >::Source_fct_pt
private

Pointer to source function.

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


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