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

Public Member Functions

 TwoMeshFluxPoissonProblem (PoissonEquations< 2 >::PoissonSourceFctPt source_fct_pt)
 Constructor: Pass pointer to source function. More...
 
 ~TwoMeshFluxPoissonProblem ()
 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...
 
OomphCommunicatorcommunicator_pt ()
 access function to the oomph-lib communicator More...
 
const OomphCommunicatorcommunicator_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 ()
 
LinearSolvermass_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...
 
Timetime_pt () const
 Return a pointer to the global time object (const version). More...
 
doubletime ()
 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 TimeSteppertime_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...
 
doubleminimum_dt ()
 Access function to min timestep in adaptive timestepping. More...
 
doublemaximum_dt ()
 Access function to max timestep in adaptive timestepping. More...
 
unsignedmax_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...
 
doublemax_residuals ()
 
booltime_adaptive_newton_crash_on_solve_fail ()
 Access function for Time_adaptive_newton_crash_on_solve_fail. More...
 
doublenewton_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...
 
doubleglobal_dof_pt (const unsigned &i)
 
doubledof (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...
 
doubledof_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...
 
booluse_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 Problemmake_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 ()
 
doublebifurcation_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 ()
 
intsign_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, Mesh *const &bulk_mesh_pt, Mesh *const &surface_mesh_pt)
 

Private Attributes

SimpleRectangularQuadMesh< ELEMENT > * Bulk_mesh_pt
 Pointer to the "bulk" mesh. More...
 
MeshSurface_mesh_pt
 Pointer to the "surface" mesh. More...
 
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)
 
doubledof_derivative (const unsigned &i)
 
doubledof_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 *, boolCalculate_dparameter_analytic
 
bool Calculate_hessian_products_analytic
 
LinearAlgebraDistributionDof_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< doubleMax_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< doubleDof_derivative
 Storage for the derivative of the problem variables wrt arc-length. More...
 
Vector< doubleDof_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
 
OomphCommunicatorCommunicator_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 TwoMeshFluxPoissonProblem< 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

◆ TwoMeshFluxPoissonProblem()

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

Constructor: Pass pointer to source function.

Constructor for Poisson problem: Pass pointer to source function.

142 {
143  // Setup "bulk" mesh
144 
145  // # of elements in x-direction
146  unsigned n_x=4;
147 
148  // # of elements in y-direction
149  unsigned n_y=4;
150 
151  // Domain length in x-direction
152  double l_x=1.0;
153 
154  // Domain length in y-direction
155  double l_y=2.0;
156 
157  // Build "bulk" mesh
159 
160 
161  // Create "surface mesh" that will contain only the prescribed-flux
162  // elements. The constructor just creates the mesh without
163  // giving it any elements, nodes, etc.
164  Surface_mesh_pt = new Mesh;
165 
166  // Create prescribed-flux elements from all elements that are
167  // adjacent to boundary 1, but add them to a separate mesh.
168  // Note that this is exactly the same function as used in the
169  // single mesh version of the problem, we merely pass different Mesh pointers.
171 
172  // Add the two sub meshes to the problem
175 
176  // Combine all submeshes into a single Mesh
178 
179 
180  // Set the boundary conditions for this problem: All nodes are
181  // free by default -- just pin the ones that have Dirichlet conditions
182  // here.
183  unsigned n_bound = Bulk_mesh_pt->nboundary();
184  for(unsigned b=0;b<n_bound;b++)
185  {
186  //Leave nodes on boundary 1 free
187  if (b!=1)
188  {
189  unsigned n_node = Bulk_mesh_pt->nboundary_node(b);
190  for (unsigned n=0;n<n_node;n++)
191  {
192  Bulk_mesh_pt->boundary_node_pt(b,n)->pin(0);
193  }
194  }
195  }
196 
197  // Complete the build of all elements so they are fully functional
198 
199  // Loop over the Poisson bulk elements to set up element-specific
200  // things that cannot be handled by constructor: Pass pointer to
201  // source function
202  unsigned n_element = Bulk_mesh_pt->nelement();
203  for(unsigned e=0;e<n_element;e++)
204  {
205  // Upcast from GeneralisedElement to Poisson bulk element
206  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(e));
207 
208  //Set the source function pointer
209  el_pt->source_fct_pt() = Source_fct_pt;
210  }
211 
212  // Loop over the flux elements to pass pointer to prescribed flux function
213  n_element=Surface_mesh_pt->nelement();
214  for(unsigned e=0;e<n_element;e++)
215  {
216  // Upcast from GeneralisedElement to Poisson flux element
218  dynamic_cast< PoissonFluxElement<ELEMENT>*>(
220 
221  // Set the pointer to the prescribed flux function
222  el_pt->flux_fct_pt() =
224  }
225 
226  // Setup equation numbering scheme
227  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
228 
229 } // 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
PoissonEquations< 2 >::PoissonSourceFctPt Source_fct_pt
Pointer to source function.
Definition: two_d_poisson_flux_bc2.cc:128
void create_flux_elements(const unsigned &b, Mesh *const &bulk_mesh_pt, Mesh *const &surface_mesh_pt)
Definition: two_d_poisson_flux_bc2.cc:333
Mesh * Surface_mesh_pt
Pointer to the "surface" mesh.
Definition: two_d_poisson_flux_bc2.cc:125
SimpleRectangularQuadMesh< ELEMENT > * Bulk_mesh_pt
Pointer to the "bulk" mesh.
Definition: two_d_poisson_flux_bc2.cc:122
Definition: mesh.h:67
GeneralisedElement *& element_pt(const unsigned long &e)
Return pointer to element e.
Definition: mesh.h:448
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
unsigned add_sub_mesh(Mesh *const &mesh_pt)
Definition: problem.h:1330
void build_global_mesh()
Definition: problem.cc:1493
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::add_sub_mesh(), oomph::Problem::assign_eqn_numbers(), b, oomph::Problem::build_global_mesh(), TwoMeshFluxPoissonProblem< ELEMENT >::Bulk_mesh_pt, TwoMeshFluxPoissonProblem< ELEMENT >::create_flux_elements(), e(), oomph::Mesh::element_pt(), oomph::PoissonFluxElement< ELEMENT >::flux_fct_pt(), n, oomph::Mesh::nelement(), TanhSolnForPoisson::prescribed_flux_on_fixed_x_boundary(), TwoMeshFluxPoissonProblem< ELEMENT >::Source_fct_pt, and TwoMeshFluxPoissonProblem< ELEMENT >::Surface_mesh_pt.

◆ ~TwoMeshFluxPoissonProblem()

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

Destructor (empty)

99 {}

Member Function Documentation

◆ actions_after_newton_solve()

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

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

113 {}

◆ actions_before_newton_solve()

template<class ELEMENT >
void TwoMeshFluxPoissonProblem< 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.

240 {
241  // How many boundaries are in the bulk mesh?
242  unsigned n_bound = Bulk_mesh_pt->nboundary();
243 
244  //Loop over the boundaries in the bulk mesh
245  for(unsigned i=0;i<n_bound;i++)
246  {
247  // Only update Dirichlet nodes
248  if (i!=1)
249  {
250  // How many nodes are there on this boundary?
251  unsigned n_node = Bulk_mesh_pt->nboundary_node(i);
252 
253  // Loop over the nodes on boundary
254  for (unsigned n=0;n<n_node;n++)
255  {
256  // Get pointer to node
257  Node* nod_pt=Bulk_mesh_pt->boundary_node_pt(i,n);
258 
259  // Extract nodal coordinates from node:
260  Vector<double> x(2);
261  x[0]=nod_pt->x(0);
262  x[1]=nod_pt->x(1);
263 
264  // Compute the value of the exact solution at the nodal point
265  Vector<double> u(1);
267 
268  // Assign the value to the one (and only) nodal value at this node
269  nod_pt->set_value(0,u[0]);
270  }
271  }
272  }
273 } // 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 TwoMeshFluxPoissonProblem< ELEMENT >::create_flux_elements ( const unsigned b,
Mesh *const &  bulk_mesh_pt,
Mesh *const &  surface_mesh_pt 
)
private

Create Poisson flux elements on boundary b of the Mesh pointed to by bulk_mesh_pt and add them to the Mesh object pointed to by surface_mesh_pt

Create Poisson Flux Elements on the b-th boundary of the Mesh object pointed to by bulk_mesh_pt and add the elements to the Mesh object pointeed to by surface_mesh_pt.

335 {
336  // How many bulk elements are adjacent to boundary b?
337  unsigned n_element = bulk_mesh_pt->nboundary_element(b);
338 
339  // Loop over the bulk elements adjacent to boundary b?
340  for(unsigned e=0;e<n_element;e++)
341  {
342  // Get pointer to the bulk element that is adjacent to boundary b
343  ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
344  bulk_mesh_pt->boundary_element_pt(b,e));
345 
346  //What is the index of the face of the bulk element e on bondary b
347  int face_index = bulk_mesh_pt->face_index_at_boundary(b,e);
348 
349  // Build the corresponding prescribed-flux element
350  PoissonFluxElement<ELEMENT>* flux_element_pt = new
351  PoissonFluxElement<ELEMENT>(bulk_elem_pt,face_index);
352 
353  //Add the prescribed-flux element to the surface mesh
354  surface_mesh_pt->add_element_pt(flux_element_pt);
355 
356  } //end of loop over bulk elements adjacent to boundary b
357 
358 } // 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 oomph::Mesh::add_element_pt(), b, oomph::Mesh::boundary_element_pt(), e(), oomph::Mesh::face_index_at_boundary(), and oomph::Mesh::nboundary_element().

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

◆ doc_solution()

template<class ELEMENT >
void TwoMeshFluxPoissonProblem< 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

282 {
283 
284  ofstream some_file;
285  char filename[100];
286 
287  // Number of plot points
288  unsigned npts;
289  npts=5;
290 
291  // Output solution
292  //-----------------
293  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
294  doc_info.number());
295  some_file.open(filename);
296  Bulk_mesh_pt->output(some_file,npts);
297  some_file.close();
298 
299  // Output exact solution
300  //----------------------
301  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
302  doc_info.number());
303  some_file.open(filename);
304  Bulk_mesh_pt->output_fct(some_file,npts,TanhSolnForPoisson::get_exact_u);
305  some_file.close();
306 
307 
308  // Doc error and return of the square of the L2 error
309  //---------------------------------------------------
310  double error,norm;
311  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
312  doc_info.number());
313  some_file.open(filename);
314  Bulk_mesh_pt->compute_error(some_file,TanhSolnForPoisson::get_exact_u,
315  error,norm);
316  some_file.close();
317 
318  // Doc L2 error and norm of solution
319  cout << "\nNorm of error : " << sqrt(error) << std::endl;
320  cout << "Norm of solution: " << sqrt(norm) << std::endl << std::endl;
321 
322 
323 } // 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().

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* TwoMeshFluxPoissonProblem< ELEMENT >::Bulk_mesh_pt
private

Pointer to the "bulk" mesh.

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

◆ Source_fct_pt

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

Pointer to source function.

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

◆ Surface_mesh_pt

template<class ELEMENT >
Mesh* TwoMeshFluxPoissonProblem< ELEMENT >::Surface_mesh_pt
private

Pointer to the "surface" mesh.

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


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