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...
 
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)
 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)
 
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 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: