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

Public Member Functions

 FluxPoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source function. More...
 
 ~FluxPoissonProblem ()
 Destructor (empty) More...
 
void doc_solution (DocInfo &doc_info)
 Doc the solution: doc_info contains labels/output directory etc. 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
 
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 Member Functions

void actions_before_newton_solve ()
 
void actions_after_newton_solve ()
 Update the problem specs after solve (empty) More...
 
void create_flux_elements (const unsigned &b)
 Create Poisson Flux Elements on the b-th boundary of the Mesh. More...
 

Private Attributes

unsigned Npoisson_elements
 
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 FluxPoissonProblem< ELEMENT >

2D Poisson problem on rectangular domain, discretised with 2D QPoisson elements. Flux boundary conditions are applied along boundary 1 (the boundary where x=L). The specific type of element is specified via the template parameter.

Constructor & Destructor Documentation

◆ FluxPoissonProblem()

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

Constructor: Pass pointer to source function.

Constructor for Poisson problem: Pass pointer to source function.

140 {
141 
142  // Setup mesh
143 
144  // # of elements in x-direction
145  unsigned n_x=4;
146 
147  // # of elements in y-direction
148  unsigned n_y=4;
149 
150  // Domain length in x-direction
151  double l_x=1.0;
152 
153  // Domain length in y-direction
154  double l_y=2.0;
155 
156  // Build and assign mesh
157  Problem::mesh_pt()=new SimpleRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
158 
159  // Store number of Poisson bulk elements (= number of elements so far).
161 
162  // Create prescribed-flux elements from all elements that are
163  // adjacent to boundary 1 and add them to the (single) global mesh
165 
166  // Set the boundary conditions for this problem: All nodes are
167  // free by default -- just pin the ones that have Dirichlet conditions
168  // here.
169  unsigned n_bound = mesh_pt()->nboundary();
170  for(unsigned b=0;b<n_bound;b++)
171  {
172  //Leave nodes on boundary 1 free
173  if(b!=1)
174  {
175  unsigned n_node= mesh_pt()->nboundary_node(b);
176  for (unsigned n=0;n<n_node;n++)
177  {
178  mesh_pt()->boundary_node_pt(b,n)->pin(0);
179  }
180  }
181  }
182 
183  // Loop over the Poisson bulk elements to set up element-specific
184  // things that cannot be handled by constructor: Pass pointer to source
185  // function
186  for(unsigned e=0;e<Npoisson_elements;e++)
187  {
188  // Upcast from GeneralisedElement to Poisson bulk element
189  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
190 
191  //Set the source function pointer
192  el_pt->source_fct_pt() = Source_fct_pt;
193  }
194 
195  // Total number of elements:
196  unsigned n_element=mesh_pt()->nelement();
197 
198  // Loop over the flux elements (located at the "end" of the
199  // mesh) to pass function pointer to prescribed-flux function.
200  for (unsigned e=Npoisson_elements;e<n_element;e++)
201  {
202  // Upcast from GeneralisedElement to Poisson flux element
204  dynamic_cast<PoissonFluxElement<ELEMENT>*>(mesh_pt()->element_pt(e));
205 
206  // Set the pointer to the prescribed flux function
207  el_pt->flux_fct_pt() =
209  }
210 
211  // Setup equation numbering scheme
212  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
213 
214 } // end of constructor
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
Array< double, 1, 3 > e(1./3., 0.5, 2.)
Scalar * b
Definition: benchVecAdd.cpp:17
unsigned Npoisson_elements
Definition: two_d_poisson_flux_bc.cc:124
void create_flux_elements(const unsigned &b)
Create Poisson Flux Elements on the b-th boundary of the Mesh.
Definition: two_d_poisson_flux_bc.cc:221
PoissonEquations< 2 >::PoissonSourceFctPt Source_fct_pt
Pointer to source function.
Definition: two_d_poisson_flux_bc.cc:127
void pin(const unsigned &i)
Pin the i-th stored variable.
Definition: nodes.h:385
unsigned long nboundary_node(const unsigned &ibound) const
Return number of nodes on a particular boundary.
Definition: mesh.h:833
unsigned nboundary() const
Return number of boundaries.
Definition: mesh.h:827
GeneralisedElement *& element_pt(const unsigned long &e)
Return pointer to element e.
Definition: mesh.h:448
Node *& boundary_node_pt(const unsigned &b, const unsigned &n)
Return pointer to node n on boundary b.
Definition: mesh.h:493
unsigned long nelement() const
Return number of elements in the mesh.
Definition: mesh.h:590
Definition: poisson_flux_elements.h:51
PoissonPrescribedFluxFctPt & flux_fct_pt()
Access function for the prescribed-flux function pointer.
Definition: poisson_flux_elements.h:89
Mesh *& mesh_pt()
Return a pointer to the global mesh.
Definition: problem.h:1280
unsigned long assign_eqn_numbers(const bool &assign_local_eqn_numbers=true)
Definition: problem.cc:1989
Definition: simple_rectangular_quadmesh.template.h:58
void prescribed_flux_on_fixed_x_boundary(const Vector< double > &x, double &flux)
Flux required by the exact solution on a boundary on which x is fixed.
Definition: mpi/distribution/two_d_poisson_flux_bc_adapt/two_d_poisson_flux_bc_adapt.cc:120
GeneralisedAxisymAdvectionDiffusionSourceFctPt & source_fct_pt()
Access function: Pointer to source function.
Definition: gen_axisym_advection_diffusion_elements.h:229

References oomph::Problem::assign_eqn_numbers(), b, oomph::Mesh::boundary_node_pt(), FluxPoissonProblem< ELEMENT >::create_flux_elements(), e(), oomph::Mesh::element_pt(), oomph::PoissonFluxElement< ELEMENT >::flux_fct_pt(), oomph::Problem::mesh_pt(), n, oomph::Mesh::nboundary(), oomph::Mesh::nboundary_node(), oomph::Mesh::nelement(), FluxPoissonProblem< ELEMENT >::Npoisson_elements, oomph::Data::pin(), TanhSolnForPoisson::prescribed_flux_on_fixed_x_boundary(), and FluxPoissonProblem< ELEMENT >::Source_fct_pt.

◆ ~FluxPoissonProblem()

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

Destructor (empty)

102 {}

Member Function Documentation

◆ actions_after_newton_solve()

template<class ELEMENT >
void FluxPoissonProblem< ELEMENT >::actions_after_newton_solve ( )
inlineprivatevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

115 {}

◆ actions_before_newton_solve()

template<class ELEMENT >
void FluxPoissonProblem< ELEMENT >::actions_before_newton_solve
privatevirtual

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

Reimplemented from oomph::Problem.

255 {
256  // How many boundaries are there?
257  unsigned n_bound = mesh_pt()->nboundary();
258 
259  //Loop over the boundaries
260  for(unsigned i=0;i<n_bound;i++)
261  {
262  // Only update Dirichlet nodes
263  if (i!=1)
264  {
265  // How many nodes are there on this boundary?
266  unsigned n_node = mesh_pt()->nboundary_node(i);
267 
268  // Loop over the nodes on boundary
269  for (unsigned n=0;n<n_node;n++)
270  {
271  // Get pointer to node
272  Node* nod_pt = mesh_pt()->boundary_node_pt(i,n);
273 
274  // Extract nodal coordinates from node:
275  Vector<double> x(2);
276  x[0]=nod_pt->x(0);
277  x[1]=nod_pt->x(1);
278 
279  // Compute the value of the exact solution at the nodal point
280  Vector<double> u(1);
282 
283  // Assign the value to the one (and only) nodal value at this node
284  nod_pt->set_value(0,u[0]);
285  }
286  }
287  }
288 } // end of actions before solve
int i
Definition: BiCGSTAB_step_by_step.cpp:9
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(), i, n, oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ create_flux_elements()

template<class ELEMENT >
void FluxPoissonProblem< ELEMENT >::create_flux_elements ( const unsigned &  b)
private

Create Poisson Flux Elements on the b-th boundary of the Mesh.

Create Poisson flux elements on the b-th boundary of the problem's mesh

222 {
223  // How many bulk elements are adjacent to boundary b?
224  unsigned n_element = mesh_pt()->nboundary_element(b);
225 
226  // Loop over the bulk elements adjacent to boundary b?
227  for(unsigned e=0;e<n_element;e++)
228  {
229  // Get pointer to the bulk element that is adjacent to boundary b
230  ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
232 
233  // What is the index of the face of the bulk element at the boundary
234  int face_index = mesh_pt()->face_index_at_boundary(b,e);
235 
236  // Build the corresponding prescribed-flux element
237  PoissonFluxElement<ELEMENT>* flux_element_pt = new
238  PoissonFluxElement<ELEMENT>(bulk_elem_pt,face_index);
239 
240  //Add the prescribed-flux element to the mesh
241  mesh_pt()->add_element_pt(flux_element_pt);
242 
243  } //end of loop over bulk elements adjacent to boundary b
244 
245 } // end of create_flux_elements
int face_index_at_boundary(const unsigned &b, const unsigned &e) const
Definition: mesh.h:896
unsigned nboundary_element(const unsigned &b) const
Return number of finite elements that are adjacent to boundary b.
Definition: mesh.h:878
FiniteElement * boundary_element_pt(const unsigned &b, const unsigned &e) const
Return pointer to e-th finite element on boundary b.
Definition: mesh.h:840
void add_element_pt(GeneralisedElement *const &element_pt)
Add a (pointer to) an element to the mesh.
Definition: mesh.h:617

References b, and e().

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

◆ doc_solution()

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

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

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

297 {
298 
299  ofstream some_file;
300  char filename[100];
301 
302  // Number of plot points
303  unsigned npts;
304  npts=5;
305 
306  // Output solution
307  //-----------------
308  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
309  doc_info.number());
310  some_file.open(filename);
311  mesh_pt()->output(some_file,npts);
312  some_file.close();
313 
314  // Output exact solution
315  //----------------------
316  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
317  doc_info.number());
318  some_file.open(filename);
319  for(unsigned e=0;e<Npoisson_elements;e++)
320  {
321  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
322  el_pt->output_fct(some_file,npts,TanhSolnForPoisson::get_exact_u);
323  }
324  some_file.close();
325 
326  // Can't use black-box error computatation routines because
327  // the mesh contains two different types of elements.
328  // error function hasn't been implemented for the prescribed
329  // flux elements...
330 
331 } // end of doc
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
void output(std::ostream &outfile)
Output for all elements.
Definition: mesh.cc:2027
string filename
Definition: MergeRestartFiles.py:39

References oomph::DocInfo::directory(), e(), MergeRestartFiles::filename, TanhSolnForPoisson::get_exact_u(), and oomph::DocInfo::number().

Member Data Documentation

◆ Npoisson_elements

template<class ELEMENT >
unsigned FluxPoissonProblem< ELEMENT >::Npoisson_elements
private

Number of Poisson "bulk" elements (We're attaching the flux elements to the bulk mesh --> only the first Npoisson_elements elements in the mesh are bulk elements!)

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

◆ Source_fct_pt

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

Pointer to source function.

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


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