Inheritance diagram for MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >:

Public Member Functions
	MortaringValidationProblem ()

void	setup_multi_domain_interaction ()

void	setup_refinement ()

void	setup_elements ()

void	build_constraint_elements ()

void	add_mortaring_elements (Vector< ConstraintElement * > mortaring_elements)

void	pin_dofs ()

void	actions_before_adapt () override

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

void	verify_mortared_nodes_coincide ()

void	set_output_distance ()

void	set_do_not_output_distance ()

void	output ()

void	run ()

	MortaringValidationProblem ()

void	setup_refinement ()

void	setup_elements ()

void	build_constraint_elements ()

void	add_mortaring_elements (Vector< ConstraintElement * > mortaring_elements)

void	pin_dofs ()

void	actions_before_adapt () override

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

void	verify_mortared_nodes_coincide ()

void	run ()

	MortaringValidationProblem (const unsigned flag)

Vector< ConstraintElement * >	build_mortaring_elements ()

void	add_mortaring_elements (Vector< ConstraintElement * > mortaring_elements)

void	build_and_add_mortaring_elements ()

void	actions_before_adapt ()

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

void	pin_mortared_status_dofs ()

void	verify_mortared_nodes_coincide ()

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

void	set_analytic_dparameter (double *const &parameter_pt)

void	unset_analytic_dparameter (double *const &parameter_pt)

bool	is_dparameter_calculated_analytically (double *const &parameter_pt)

void	set_analytic_hessian_products ()

void	unset_analytic_hessian_products ()

bool	are_hessian_products_calculated_analytically ()

void	set_pinned_values_to_zero ()

bool	distributed () const

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

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

	Problem ()

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

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

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

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

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

Mesh *&	mesh_pt (const unsigned &imesh)

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

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

unsigned	add_sub_mesh (Mesh *const &mesh_pt)

void	flush_sub_meshes ()

void	build_global_mesh ()

void	rebuild_global_mesh ()

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

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

LinearSolver *&	mass_matrix_solver_for_explicit_timestepper_pt ()

LinearSolver *	mass_matrix_solver_for_explicit_timestepper_pt () const

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

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

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

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

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

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

TimeStepper *&	time_stepper_pt ()

const TimeStepper *	time_stepper_pt () const

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

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

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

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

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

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

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

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

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

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

double &	max_residuals ()

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

double &	newton_solver_tolerance ()

void	add_time_stepper_pt (TimeStepper *const &time_stepper_pt)

void	set_explicit_time_stepper_pt (ExplicitTimeStepper *const &explicit_time_stepper_pt)

void	initialise_dt (const double &dt)

void	initialise_dt (const Vector< double > &dt)

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

void	add_global_data (Data *const &global_data_pt)

void	flush_global_data ()

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

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

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

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

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

void	enable_store_local_dof_pt_in_elements ()

void	disable_store_local_dof_pt_in_elements ()

unsigned long	assign_eqn_numbers (const bool &assign_local_eqn_numbers=true)

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

void	enable_discontinuous_formulation ()

void	disable_discontinuous_formulation ()

void	get_dofs (DoubleVector &dofs) const

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

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

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

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

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

double *	global_dof_pt (const unsigned &i)

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

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

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

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

virtual void	get_inverse_mass_matrix_times_residuals (DoubleVector &Mres)

virtual void	get_dvaluesdt (DoubleVector &f)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

void	enable_jacobian_reuse ()

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

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

bool &	use_predictor_values_as_initial_guess ()

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

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

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

void	newton_solve (unsigned const &max_adapt)

void	steady_newton_solve (unsigned const &max_adapt=0)

void	copy (Problem *orig_problem_pt)

virtual Problem *	make_copy ()

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

virtual void	read (std::ifstream &restart_file)

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

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

void	delete_all_external_storage ()

virtual void	symmetrise_eigenfunction_for_adaptive_pitchfork_tracking ()

double *	bifurcation_parameter_pt () const

void	get_bifurcation_eigenfunction (Vector< DoubleVector > &eigenfunction)

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

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

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

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

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

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

void	deactivate_bifurcation_tracking ()

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

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

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

void	reset_arc_length_parameters ()

int &	sign_of_jacobian ()

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

void	unsteady_newton_solve (const double &dt)

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

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

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

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

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

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

void	assign_initial_values_impulsive ()

void	assign_initial_values_impulsive (const double &dt)

void	calculate_predictions ()
	Calculate predictions. More...

void	enable_mass_matrix_reuse ()

void	disable_mass_matrix_reuse ()

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

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

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

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

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

void	refine_uniformly (DocInfo &doc_info)

void	refine_uniformly_and_prune (DocInfo &doc_info)

void	refine_uniformly ()

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

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

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

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

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

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

void	p_refine_uniformly (DocInfo &doc_info)

void	p_refine_uniformly_and_prune (DocInfo &doc_info)

void	p_refine_uniformly ()

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

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

void	refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

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

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

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

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

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

void	p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

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

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

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

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

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

unsigned	unrefine_uniformly ()

unsigned	unrefine_uniformly (const unsigned &i_mesh)

void	p_unrefine_uniformly (DocInfo &doc_info)

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

void	adapt (unsigned &n_refined, unsigned &n_unrefined)

void	adapt ()

void	p_adapt (unsigned &n_refined, unsigned &n_unrefined)

void	p_adapt ()

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

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

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

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

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

void	enable_info_in_newton_solve ()

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

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

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

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

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

virtual void	actions_before_explicit_stage ()

virtual void	actions_after_explicit_stage ()

Public Attributes
Vector< SolidMesh * >	Constituent_mesh_pt

SolidMesh *	Non_mortared_mesh_pt

Mesh *	Mortaring_mesh_pt

ConstitutiveLaw *	Constitutive_law_pt

double	Nu

double	E

DocInfo	doc_info

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

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

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

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

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

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

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

virtual void	actions_before_newton_solve ()

virtual void	actions_after_newton_solve ()

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...

Constructor & Destructor Documentation

◆ MortaringValidationProblem() [1/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::MortaringValidationProblem ( )

inline

  {
   //  Create the two meshes - location of second mesh is dependent on the test case flag
   Constituent_mesh_pt.resize(2);
  
   Constituent_mesh_pt[0] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                        0.0, MeshSize::x_length/2.0,
                                                        0.0, MeshSize::y_length,
                                                        0.0, MeshSize::z_length);
  
   double x_offset = 0.0, y_offset = 0.0, z_offset = 0.0;
   x_offset = MeshSize::x_length/2.0;
  
   Constituent_mesh_pt[1] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                        x_offset, x_offset+MeshSize::x_length/2.0,
                                                        y_offset, y_offset+MeshSize::y_length,
                                                        z_offset, z_offset+MeshSize::z_length);
  
   // Create the non-mortared mesh
   Non_mortared_mesh_pt = new RefineableSolidCubicMesh<NON_MORTAR_ELEMENT>(4, 2, 2,
                                                                           0.0, MeshSize::x_length,
                                                                           0.0, MeshSize::y_length,
                                                                           0.0, MeshSize::z_length);
   
   for(auto m : {0,1})
   {
    // Disable refinemenet for all elements
    for(unsigned e=0; e<Constituent_mesh_pt[m]->nelement(); e++)
    {
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->finite_element_pt(e))->disable_refinement();
    }
  
    // Enable refinement for the elements on the mortared boundary
    const Vector<unsigned> mortared_bounds{2,4};
    for(unsigned e=0; e<Constituent_mesh_pt[m]->nboundary_element(mortared_bounds[m]); e++)
    {
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->boundary_element_pt(mortared_bounds[m], e))->enable_refinement();
    }
   }
   
   // Set refinement parameters
   MeshRefinement::error_estimator_pt=new Z2ErrorEstimator;
   setup_refinement();
  
  
   Max_residuals = 1e200;  
  
   // Constitutve law
   Nu = 0.3;
   E = 1.0;
   Constitutive::Constitutive_law_pt = new GeneralisedHookean(&Nu, &E);
  
   // Pass to the elements
   setup_elements();
  
   pin_dofs();
   
   Mortaring_mesh_pt = new Mesh;
   // Add the mortaring elements to the mortaring mesh
   build_constraint_elements();
  
   // There are two external meshes so we need to accept failure for each of the times we perform
   //  setup_multi_domain_interaction
   setup_multi_domain_interaction();
  
  
   // Add the mesh as a sub mesh
   this->add_sub_mesh(Constituent_mesh_pt[0]);
   this->add_sub_mesh(Constituent_mesh_pt[1]);
   this->add_sub_mesh(Mortaring_mesh_pt);
   this->add_sub_mesh(Non_mortared_mesh_pt);
   this->build_global_mesh();
   this->assign_eqn_numbers();
  
   doc_info = DocInfo("RESLT_COMPARE_MORTARING_TO_NON_MORTARING");
   doc_info.number() = 0;
   output();
  }

References Constitutive::Constitutive_law_pt, Global_Physical_Variables::E, e(), MeshRefinement::error_estimator_pt, m, Constitutive_Parameters::Nu, oomph::output(), oomph::Multi_domain_functions::setup_multi_domain_interaction(), MeshSize::x_length, MeshSize::y_length, and MeshSize::z_length.

◆ MortaringValidationProblem() [2/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::MortaringValidationProblem ( )

inline

  {
   //  Create the two meshes - location of second mesh is dependent on the test case flag
   Constituent_mesh_pt.resize(2);
  
   Constituent_mesh_pt[0] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                        0.0, 1.0,
                                                        0.0, 1.0,
                                                        0.0, 1.0);
  
   double x_offset = 0.0, y_offset = 0.0, z_offset = 0.0;
   x_offset = 1.0;
  
   Constituent_mesh_pt[1] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                        x_offset, x_offset+1.0,
                                                        y_offset, y_offset+1.0,
                                                        z_offset, z_offset+1.0);
  
   // Set refinement parameters
   MeshRefinement::error_estimator_pt=new Z2ErrorEstimator;
   setup_refinement();
  
  
   Max_residuals = 1e200;  
  
   // Constitutve law
   Nu = 0.3;
   E = 1.0;
   Constitutive::Constitutive_law_pt = new GeneralisedHookean(&Nu, &E);
  
   // Pass to the elements
   setup_elements();
  
   pin_dofs();
   
   Mortaring_mesh_pt = new Mesh;
   // Add the mortaring elements to the mortaring mesh
   build_constraint_elements();
  
  
   // Add the mesh as a sub mesh
   this->add_sub_mesh(Constituent_mesh_pt[0]);
   this->add_sub_mesh(Constituent_mesh_pt[1]);
   this->add_sub_mesh(Mortaring_mesh_pt);
   this->build_global_mesh();
   this->assign_eqn_numbers();
   
   // refine_uniformly();
  }

References Constitutive::Constitutive_law_pt, Global_Physical_Variables::E, MeshRefinement::error_estimator_pt, and Constitutive_Parameters::Nu.

◆ MortaringValidationProblem() [3/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::MortaringValidationProblem ( const unsigned flag )

inline

  {
   //  Create the two meshes - location of second mesh is dependent on the test case flag
   Constituent_mesh_pt.resize(2);
  
   Constituent_mesh_pt[0] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                                  0.0, 1.0,
                                                                  0.0, 1.0,
                                                                  0.0, 1.0);
   
   double x_offset = 0.0, y_offset = 0.0, z_offset = 0.0;
   // Determine the offsets of the second mesh from the flag passed
   switch(flag)
   {
    case 0:
     x_offset = 1.0;
     break;
  
    case 1:
     x_offset = 1.0;
     y_offset = 1.0;
     break;
  
    case 2:
     x_offset = 1.0;
     y_offset = 1.0;
     z_offset = 1.0;
     break;
    
    case 3:
     x_offset = 1.0;
     y_offset = 0.5;
     z_offset = 0.5;
     break;
  
    case 4:
     x_offset = 1.0;
     y_offset = 0.5;
     z_offset = 0.5;
     // Move the top corner node so that it doesn't get mortared
     for(unsigned l=0; l<Constituent_mesh_pt[0]->nnode(); l++)
     {
      Vector<double> x = {Constituent_mesh_pt[0]->node_pt(l)->x(0),Constituent_mesh_pt[0]->node_pt(l)->x(1),Constituent_mesh_pt[0]->node_pt(l)->x(2)};
      if((x[0]-1.0)*(x[0]-1.0) + (x[1]-1.0)*(x[1]-1.0) + (x[2]-1.0)*(x[2]-1.0) < 1e-6)
      {
       Constituent_mesh_pt[0]->node_pt(l)->x(0) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(1) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(2) -= 1e-2;
       break;
      }
     }
     break;
  
    case 5:
     x_offset = 1.0;
     y_offset = 0.5;
     z_offset = 0.5;
     // Move the top corner node so that it doesn't get mortared
     for(unsigned l=0; l<Constituent_mesh_pt[0]->nnode(); l++)
     {
      Vector<double> x = {Constituent_mesh_pt[0]->node_pt(l)->x(0),Constituent_mesh_pt[0]->node_pt(l)->x(1),Constituent_mesh_pt[0]->node_pt(l)->x(2)};
      if((x[0]-1.0)*(x[0]-1.0) + (x[1]-1.0)*(x[1]-1.0) + (x[2]-0.5)*(x[2]-0.5) < 1e-6)
      {
       Constituent_mesh_pt[0]->node_pt(l)->x(0) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(1) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(2) -= 1e-2;
       break;
      }
     }
     break;
  
    case 6:
     x_offset = 1.0;
     y_offset = 0.5;
     z_offset = 0.5;
     // Move the top corner node so that it doesn't get mortared
     for(unsigned l=0; l<Constituent_mesh_pt[0]->nnode(); l++)
     {
      Vector<double> x = {Constituent_mesh_pt[0]->node_pt(l)->x(0),Constituent_mesh_pt[0]->node_pt(l)->x(1),Constituent_mesh_pt[0]->node_pt(l)->x(2)};
      if((x[0]-1.0)*(x[0]-1.0) + (x[1]-0.5)*(x[1]-0.5) + (x[2]-0.5)*(x[2]-0.5) < 1e-6)
      {
       Constituent_mesh_pt[0]->node_pt(l)->x(0) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(1) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(2) -= 1e-2;
       break;
      }
     }
     break;
    
    case 7:
     x_offset = 1.0;
     y_offset = 0.5;
     z_offset = 0.5;
     // Move the top corner node so that it doesn't get mortared
     for(unsigned l=0; l<Constituent_mesh_pt[0]->nnode(); l++)
     {
      Vector<double> x = {Constituent_mesh_pt[0]->node_pt(l)->x(0),Constituent_mesh_pt[0]->node_pt(l)->x(1),Constituent_mesh_pt[0]->node_pt(l)->x(2)};
      if((x[0]-1.0)*(x[0]-1.0) + (x[1]-0.5)*(x[1]-0.5) + (x[2]-1.0)*(x[2]-1.0) < 1e-6)
      {
       Constituent_mesh_pt[0]->node_pt(l)->x(0) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(1) -= 1e-2;
       Constituent_mesh_pt[0]->node_pt(l)->x(2) -= 1e-2;
       break;
      }
     }
     break;
  
    default:
     throw OomphLibError("Not a valid validation flag",
                         OOMPH_CURRENT_FUNCTION,
                         OOMPH_EXCEPTION_LOCATION);
   }
   // We need to re-assign the lagrangian coordinates because it is these the mortaring procedures use to find where the node is, not the current coordinate
   Constituent_mesh_pt[0]->set_lagrangian_nodal_coordinates();
   Constituent_mesh_pt[1] = new RefineableSolidCubicMesh<ELEMENT>(2, 2, 2,
                                                                  x_offset, x_offset+1.0,
                                                                  y_offset, y_offset+1.0,
                                                                  z_offset, z_offset+1.0);
   
   Max_residuals = 1e200;
  
   // Pin the mortared status dofs. These are just to keep track of which nodes should be mortared and which shouldn't
   pin_mortared_status_dofs();
   
   // Set refinement parameters
   Z2ErrorEstimator* error_estimator_pt=new Z2ErrorEstimator;
   double nu = 1.0;
   ConstitutiveLaw* constitutive_law_pt = new GeneralisedHookean(&nu);
   for(unsigned i=0; i<2; i++)
   {
    dynamic_cast<RefineableBrickMesh<ELEMENT>*>(Constituent_mesh_pt[i])->spatial_error_estimator_pt()=error_estimator_pt;
    // Error targets for adaptive refinement
    dynamic_cast<RefineableBrickMesh<ELEMENT>*>(Constituent_mesh_pt[i])->max_permitted_error()=0.1;
    dynamic_cast<RefineableBrickMesh<ELEMENT>*>(Constituent_mesh_pt[i])->min_permitted_error()=0.01;
  
    // Tell the elements that they should report their mortared status
    for(unsigned e=0; e<Constituent_mesh_pt[i]->nelement(); e++)
    {
     ELEMENT* el_pt = dynamic_cast<ELEMENT*>(Constituent_mesh_pt[i]->element_pt(e));
  
     el_pt->constitutive_law_pt() = constitutive_law_pt;
  
     // Set the mortared status of all nodes to 1 - this means all nodes should be mortared
     for(unsigned l=0; l<Constituent_mesh_pt[i]->finite_element_pt(e)->nnode(); l++)
     {
      el_pt->set_mortared(l);
     }
    }
   }
  
   // Attempt to refine the mortared mesh - accept failures, we know there are nodes selected which will not have a counterpart node
   Mortaring_mesh_pt = new Mesh;
   // Add the mortaring elements to the mortaring mesh
   build_and_add_mortaring_elements();
  
   // We have now build the mortaring elements. This first time we should set the mortared status of all nodes to 0 
   // and then set the status to 1 for all nodes which were mortared. This lets us see which nodes have been mortared
   for(unsigned i=0; i<2; i++)
   {
    // Tell the elements that they should report their mortared status
    for(unsigned e=0; e<Constituent_mesh_pt[i]->nelement(); e++)
    {
     ELEMENT* el_pt = dynamic_cast<ELEMENT*>(Constituent_mesh_pt[i]->element_pt(e));
  
     // Set the mortared status of all nodes to 1 - this means all nodes should be mortared
     for(unsigned l=0; l<Constituent_mesh_pt[i]->finite_element_pt(e)->nnode(); l++)
     {
      el_pt->set_not_mortared(l);
     }
    }
   }
   // Now loop over all mortaring elements and set the mortared status of all nodes to 1
   for(unsigned e=0; e<Mortaring_mesh_pt->nelement(); e++)
   {
    // At this point we know that all mortaring elements will be between pairs of nodes
    NodeNodeMortaringElement* m_el_pt = dynamic_cast<NodeNodeMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
    for(unsigned l=0; l<2; l++)
    {
     m_el_pt->solid_node_pt(l)->set_value(m_el_pt->solid_node_pt(l)->nvalue() - 1, 1.0);
    }
   }
  
   // Add the constituent meshes as sub meshes
   this->add_sub_mesh(Constituent_mesh_pt[0]);
   this->add_sub_mesh(Constituent_mesh_pt[1]);
   this->add_sub_mesh(Mortaring_mesh_pt);
   this->build_global_mesh();
   this->assign_eqn_numbers();
  
   this->newton_solve();
   verify_mortared_nodes_coincide();
  
   refine_uniformly();
   verify_mortared_nodes_coincide();
  
   this->newton_solve();
   verify_mortared_nodes_coincide();
  }

References e(), MeshRefinement::error_estimator_pt, i, oomph::Data::nvalue(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Data::set_value(), oomph::NodeNodeConstraintElement::solid_node_pt(), and plotDoE::x.

Member Function Documentation

◆ actions_after_adapt() [1/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_after_adapt ( )

inlinevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

  {
   // Pin the dof representing if each node is (to be) mortared
   pin_mortared_status_dofs();
   // re-create the mortaring elements
   build_and_add_mortaring_elements();
   // rebuild mesh
   rebuild_global_mesh();
  }

◆ actions_after_adapt() [2/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_after_adapt ( )

inlineoverridevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

  {
   // add the mortaring elements back
   build_constraint_elements();
   
   // rebuild mesh
   rebuild_global_mesh();
  
   // To get the elements to re-compute the ipt to node mapping
   setup_elements();
  
   // Setup multi domain interaction
   setup_multi_domain_interaction();
  }

References oomph::Multi_domain_functions::setup_multi_domain_interaction().

◆ actions_after_adapt() [3/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_after_adapt ( )

inlineoverridevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

  {
   // add the mortaring elements back
   build_constraint_elements();
   // rebuild mesh
   rebuild_global_mesh();
  }

◆ actions_before_adapt() [1/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_before_adapt ( )

inlinevirtual

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

Reimplemented from oomph::Problem.

  {
   // Delete all mortaring elements
   unsigned long Element_pt_range = Mortaring_mesh_pt->nelement();
   for (unsigned long i = Element_pt_range; i > 0; i--)
   {
    delete Mortaring_mesh_pt->element_pt(i - 1);
   }
   // flush the mortaring mesh elements
   Mortaring_mesh_pt->flush_element_storage();
  }

References i.

◆ actions_before_adapt() [2/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_before_adapt ( )

inlineoverridevirtual

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

Reimplemented from oomph::Problem.

  {
   // Delete all mortaring elements
   unsigned long Element_pt_range = Mortaring_mesh_pt->nelement();
   for (unsigned long i = Element_pt_range; i > 0; i--)
   {
    delete Mortaring_mesh_pt->element_pt(i - 1);
   }
   // flush the mortaring mesh elements
   Mortaring_mesh_pt->flush_element_storage();
  }

References i.

◆ actions_before_adapt() [3/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::actions_before_adapt ( )

inlineoverridevirtual

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

Reimplemented from oomph::Problem.

  {
   // Delete all mortaring elements
   unsigned long Element_pt_range = Mortaring_mesh_pt->nelement();
   for (unsigned long i = Element_pt_range; i > 0; i--)
   {
    delete Mortaring_mesh_pt->element_pt(i - 1);
   }
   // flush the mortaring mesh elements
   Mortaring_mesh_pt->flush_element_storage();
  }

References i.

◆ add_mortaring_elements() [1/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::add_mortaring_elements ( Vector< ConstraintElement * > mortaring_elements )

inline

  {
   for(unsigned e=0; e<mortaring_elements.size(); e++)
   {
    Mortaring_mesh_pt->add_element_pt(dynamic_cast<GeneralisedElement*>(mortaring_elements[e]));
   }
  }

References e().

◆ add_mortaring_elements() [2/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::add_mortaring_elements ( Vector< ConstraintElement * > mortaring_elements )

inline

  {
   for(unsigned e=0; e<mortaring_elements.size(); e++)
   {
    Mortaring_mesh_pt->add_element_pt(dynamic_cast<GeneralisedElement*>(mortaring_elements[e]));
   }
  }

References e().

◆ add_mortaring_elements() [3/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::add_mortaring_elements ( Vector< ConstraintElement * > mortaring_elements )

inline

  {
   for(unsigned e=0; e<mortaring_elements.size(); e++)
   {
    Mortaring_mesh_pt->add_element_pt(dynamic_cast<GeneralisedElement*>(mortaring_elements[e]));
   }
  }

References e().

◆ build_and_add_mortaring_elements()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::build_and_add_mortaring_elements ( )

inline

  {
   add_mortaring_elements(build_mortaring_elements());
  }

◆ build_constraint_elements() [1/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::build_constraint_elements ( )

inline

  {
   // The boundary id on the m-th mesh
   Vector<unsigned> bounds{2,4};
  
   Vector<Vector<Node*>> nodes_to_be_mortared_pt(2);
   for(unsigned m : {0,1})
   {
    const unsigned n_bound_node = Constituent_mesh_pt[m]->nboundary_node(bounds[m]);
    nodes_to_be_mortared_pt[m].resize(n_bound_node);
    for(unsigned l=0; l<n_bound_node; l++)
    {
     nodes_to_be_mortared_pt[m][l] = Constituent_mesh_pt[m]->boundary_node_pt(bounds[m], l);
    }
   }
   // we mortared boundary 2 of constituent mesh 0 to boundary 4 of constituent mesh 1
   add_mortaring_elements(MortaringHelpers::setup_constraint_elements_at_nodes<NodeNodeMortaringElement,
                                                                               NodeElementSolidOnlyMortaringElement,
                                                                               ELEMENT>
                                                                               (this,
                                                                               nodes_to_be_mortared_pt,
                                                                               Constituent_mesh_pt));
  }

References m, and MortaringHelpers::setup_constraint_elements_at_nodes().

◆ build_constraint_elements() [2/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::build_constraint_elements ( )

inline

  {
   // The boundary id on the m-th mesh
   Vector<unsigned> bounds{2,4};
  
   Vector<Vector<Node*>> nodes_to_be_mortared_pt(2);
   for(unsigned m : {0,1})
   {
    const unsigned n_bound_node = Constituent_mesh_pt[m]->nboundary_node(bounds[m]);
    nodes_to_be_mortared_pt[m].resize(n_bound_node);
    for(unsigned l=0; l<n_bound_node; l++)
    {
     nodes_to_be_mortared_pt[m][l] = Constituent_mesh_pt[m]->boundary_node_pt(bounds[m], l);
    }
   }
   // we mortared bound 2 of constituent mesh 0 to bound 4 of constituent mesh 1
   add_mortaring_elements(MortaringHelpers::setup_constraint_elements_at_nodes<NodeNodeMortaringElement,
                                                                               NodeElementSolidOnlyMortaringElement,
                                                                               ELEMENT>
   (this,
    nodes_to_be_mortared_pt,
    Constituent_mesh_pt));
  }

References m, and MortaringHelpers::setup_constraint_elements_at_nodes().

◆ build_mortaring_elements()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

Vector<ConstraintElement*> MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::build_mortaring_elements ( )

inline

  {
   // Get all nodes - we try and mortar them all
   Vector<Vector<Node*>> nodes_to_be_mortared_pt(2);
   for(unsigned m=0;m<2;m++)
   {
    for(unsigned l=0; l<Constituent_mesh_pt[m]->nnode(); l++)
    {
     // if the node is marked for mortaring then add it to the list
     if(Constituent_mesh_pt[m]->node_pt(l)->value(Constituent_mesh_pt[m]->node_pt(l)->nvalue()-1) > 0.5)
     {
      nodes_to_be_mortared_pt[m].push_back(dynamic_cast<Node*>(Constituent_mesh_pt[m]->node_pt(l)));
     }
    }
   }
   
   // Build and return the mortaring elements - we want to accept failure, hence true
   Vector<ConstraintElement*> mortaring_elements = MortaringHelpers::setup_constraint_elements_at_nodes<NodeNodeMortaringElement,
                                                                                                        NodeElementSolidOnlyMortaringElement,
                                                                                                        ELEMENT>
                                                                                                       (this,
                                                                                                        nodes_to_be_mortared_pt,
                                                                                                        Constituent_mesh_pt,
                                                                                                        true);
  
   std::cout << "Created " << mortaring_elements.size() << " mortaring elements" << std::endl;
  
   return mortaring_elements;
  }

References m, MortaringHelpers::setup_constraint_elements_at_nodes(), and Eigen::value.

◆ output()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::output ( )

inline

  {
   Non_mortared_mesh_pt->output(doc_info.directory() + "/non_mortared_" + std::to_string(doc_info.number()++) + ".dat", 2);
  
   set_output_distance();
   Non_mortared_mesh_pt->output(doc_info.directory() + "/error_" + std::to_string(doc_info.number()++) + ".dat", 2);
   set_do_not_output_distance();
  
   for(unsigned m : {0,1})
   {
    Constituent_mesh_pt[m]->output(doc_info.directory() + "/mortared_mesh_" + std::to_string(m) + "_" + std::to_string(doc_info.number()++) + ".dat", 2);
   }
  }

References m, and oomph::StringConversion::to_string().

◆ pin_dofs() [1/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::pin_dofs ( )

inline

  {
   // Assign the dirichlet boundary conditions...
   
   // To the mortared mesh which is on the wall
   for(unsigned n=0; n<Constituent_mesh_pt[0]->nboundary_node(4); n++)
   {
    SolidNode* node_pt = dynamic_cast<SolidNode*>(Constituent_mesh_pt[0]->boundary_node_pt(4, n));
  
    node_pt->pin_position(0);
    node_pt->pin_position(1);
    node_pt->pin_position(2);
   }
  
   // To the non-mortared mesh
   for(unsigned n=0; n<Non_mortared_mesh_pt->nboundary_node(4); n++)
   {
    SolidNode* node_pt = dynamic_cast<SolidNode*>(Non_mortared_mesh_pt->boundary_node_pt(4, n));
  
    node_pt->pin_position(0);
    node_pt->pin_position(1);
    node_pt->pin_position(2);
   }
  }

References n, and oomph::SolidNode::pin_position().

◆ pin_dofs() [2/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::pin_dofs ( )

inline

  {
   for(unsigned n=0; n<Constituent_mesh_pt[0]->nboundary_node(4); n++)
   {
    SolidNode* node_pt = dynamic_cast<SolidNode*>(Constituent_mesh_pt[0]->boundary_node_pt(4, n));
  
    node_pt->pin_position(0);
    node_pt->pin_position(1);
    node_pt->pin_position(2);
   }
  }

References n, and oomph::SolidNode::pin_position().

◆ pin_mortared_status_dofs()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::pin_mortared_status_dofs ( )

inline

  {
   for(unsigned i=0; i<2; i++)
   {
    // Pin the mortared status dof of all nodes
    for(unsigned e=0; e<Constituent_mesh_pt[i]->nelement(); e++)
    {
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[i]->element_pt(e))->pin_mortared_status_of_all_nodes();
    }
   }
  }

References e(), and i.

◆ run() [1/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::run ( )

inline

  {
   for(unsigned i=0; i<8; i++)
   {
    std::cout << "Iteration: " << i << std::endl;
    newton_solve(1);
  
    output();
  
    // Make spatial error requirements more stringent
    // MeshRefinement::max_error/=2.0;
    // MeshRefinement::min_error/=2.0;
    gravity::gravity_magnitude*=1.2;
    setup_refinement();
    setup_elements();
  
    // Check if mortared nodes spatially coincide
    verify_mortared_nodes_coincide();
   }
  }

References gravity::gravity_magnitude, i, and oomph::output().

◆ run() [2/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::run ( )

inline

  {
   for(unsigned i=0; i<2; i++)
   {
    newton_solve(1);
  
    // Make spatial error requirements more stringent
    MeshRefinement::max_error/=2.0;
    MeshRefinement::min_error/=2.0;
    gravity::gravity_magnitude*=1.2;
    setup_refinement();
    setup_elements();
  
    // Check if mortared nodes spatially coincide
    verify_mortared_nodes_coincide();
   }
  }

References gravity::gravity_magnitude, i, MeshRefinement::max_error, and MeshRefinement::min_error.

◆ set_do_not_output_distance()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::set_do_not_output_distance ( )

inline

  {
   for(unsigned e=0; e<Non_mortared_mesh_pt->nelement(); e++)
   {
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->set_do_not_output_distance();
   }
  }

References e().

◆ set_output_distance()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::set_output_distance ( )

inline

  {
   for(unsigned e=0; e<Non_mortared_mesh_pt->nelement(); e++)
   {
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->set_output_distance();
   }
  }

References e().

◆ setup_elements() [1/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::setup_elements ( )

inline

  {
   for(unsigned m=0; m<2; m++)
   {
    for(unsigned e=0; e<Constituent_mesh_pt[m]->nelement(); e++)
    {
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->element_pt(e))->constitutive_law_pt() = Constitutive::Constitutive_law_pt;
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->element_pt(e))->body_force_fct_pt() = &gravity::gravity;
    }
   }
  
   for(unsigned e=0; e<Non_mortared_mesh_pt->nelement(); e++)
   {
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->constitutive_law_pt() = Constitutive::Constitutive_law_pt;
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->body_force_fct_pt() = &gravity::gravity;
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->set_communicator_pt(this->communicator_pt());
    dynamic_cast<NON_MORTAR_ELEMENT*>(Non_mortared_mesh_pt->element_pt(e))->pre_compute_ipt_to_node_mapping();
   }
  }

References Constitutive::Constitutive_law_pt, e(), gravity::gravity(), and m.

◆ setup_elements() [2/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::setup_elements ( )

inline

  {
   for(unsigned m=0; m<2; m++)
   {
    for(unsigned e=0; e<Constituent_mesh_pt[m]->nelement(); e++)
    {
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->element_pt(e))->constitutive_law_pt() = Constitutive::Constitutive_law_pt;
     dynamic_cast<ELEMENT*>(Constituent_mesh_pt[m]->element_pt(e))->body_force_fct_pt() = &gravity::gravity;
    }
   }
  }

References Constitutive::Constitutive_law_pt, e(), gravity::gravity(), and m.

◆ setup_multi_domain_interaction()

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::setup_multi_domain_interaction ( )

inline

  {
   // The external element data is wiped before each setup_multi_domain_interaction
   //  We therefore need to store the external data for elements for which it has been set after the first setup_multi_domain_interaction
   //  Then we need to re-assign that data to the elements which have a null external element
   const unsigned n_element = Non_mortared_mesh_pt->nelement();
   Vector<Vector<FiniteElement*>> ext_elem_pt(n_element);
   Vector<Vector<Vector<double>>> ext_elem_local_coord_pt(n_element);
   for(unsigned e=0; e<n_element; e++)
   {
    const unsigned n_ipt = Non_mortared_mesh_pt->finite_element_pt(e)->integral_pt()->nweight();
    ext_elem_pt[e].resize(n_ipt);
    ext_elem_local_coord_pt[e].resize(n_ipt);
   }
  
   Multi_domain_functions::Accept_failed_locate_zeta_in_setup_multi_domain_interaction = true;
   Multi_domain_functions::setup_multi_domain_interaction<ELEMENT>(this, Non_mortared_mesh_pt, Constituent_mesh_pt[0], 0);
  
   // Store the external element data which is not null
   for(unsigned e=0; e<n_element; e++)
   {
    const unsigned n_ipt = Non_mortared_mesh_pt->finite_element_pt(e)->integral_pt()->nweight();
    for(unsigned ipt=0; ipt<n_ipt; ipt++)
    {
     if(dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_pt(0, ipt) != 0)
     {
      ext_elem_pt[e][ipt] = dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_pt(0, ipt);
      ext_elem_local_coord_pt[e][ipt] = dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_local_coord(0, ipt);
     }
    }
   }
  
   Multi_domain_functions::setup_multi_domain_interaction<ELEMENT>(this, Non_mortared_mesh_pt, Constituent_mesh_pt[1], 0);
  
   // Restore the external element data to external data which is null
   for(unsigned e=0; e<n_element; e++)
   {
    const unsigned n_ipt = Non_mortared_mesh_pt->finite_element_pt(e)->integral_pt()->nweight();
    for(unsigned ipt=0; ipt<n_ipt; ipt++)
    {
     if(dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_pt(0, ipt) == 0)
     {
      dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_pt(0, ipt) = ext_elem_pt[e][ipt];
      dynamic_cast<ElementWithExternalElement*>(Non_mortared_mesh_pt->element_pt(e))->external_element_local_coord(0, ipt) = ext_elem_local_coord_pt[e][ipt];
     }
    }
   }
  }

References oomph::Multi_domain_functions::Accept_failed_locate_zeta_in_setup_multi_domain_interaction, e(), and oomph::ElementWithExternalElement::external_element_pt().

◆ setup_refinement() [1/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::setup_refinement ( )

inline

  {
   for(unsigned m:{0,1})
   {
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->spatial_error_estimator_pt()=MeshRefinement::error_estimator_pt;
    // Error targets for adaptive refinement
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->max_permitted_error()=MeshRefinement::max_error;
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->min_permitted_error()=MeshRefinement::min_error;
   }
  
   dynamic_cast<RefineableSolidCubicMesh<NON_MORTAR_ELEMENT>*>(Non_mortared_mesh_pt)->spatial_error_estimator_pt()=MeshRefinement::error_estimator_pt;
   // Error targets for adaptive refinement
   dynamic_cast<RefineableSolidCubicMesh<NON_MORTAR_ELEMENT>*>(Non_mortared_mesh_pt)->max_permitted_error()=MeshRefinement::max_error;
   dynamic_cast<RefineableSolidCubicMesh<NON_MORTAR_ELEMENT>*>(Non_mortared_mesh_pt)->min_permitted_error()=MeshRefinement::min_error;
  }

References MeshRefinement::error_estimator_pt, m, MeshRefinement::max_error, and MeshRefinement::min_error.

◆ setup_refinement() [2/2]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::setup_refinement ( )

inline

  {
   for(unsigned m:{0,1})
   {
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->spatial_error_estimator_pt()=MeshRefinement::error_estimator_pt;
    // Error targets for adaptive refinement
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->max_permitted_error()=MeshRefinement::max_error;
    dynamic_cast<RefineableSolidCubicMesh<ELEMENT>*>(Constituent_mesh_pt[m])->min_permitted_error()=MeshRefinement::min_error;
   }
  }

References MeshRefinement::error_estimator_pt, m, MeshRefinement::max_error, and MeshRefinement::min_error.

◆ verify_mortared_nodes_coincide() [1/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::verify_mortared_nodes_coincide ( )

inline

  {
   for(unsigned e=0; e<Mortaring_mesh_pt->nelement(); e++)
   {
    { 
     NodeNodeMortaringElement* el_pt = dynamic_cast<NodeNodeMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the nodes and check their distance
      SolidNode* node0_pt = el_pt->solid_node_pt(0);
      SolidNode* node1_pt = el_pt->solid_node_pt(1);
      
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node0_pt->x(i) - node1_pt->x(i), 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared nodes");
      
      // Go to the next mortaring element
      continue;
     }
    }
    // If we did not continue that means we need to try with a node-element mortaring element
    { 
     NodeElementSolidOnlyMortaringElement* el_pt = dynamic_cast<NodeElementSolidOnlyMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the node and element and check their distance
      SolidNode* node_pt = el_pt->solid_node_pt();
  
      Vector<double> x_in_elem(3, 0.0);
      el_pt->position_in_element(x_in_elem);
  
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node_pt->x(i) - x_in_elem[i], 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared node and element");
  
      // Go to the next mortaring element
      continue;
     }
     
     // Should never get here but throw an error if we do
     logger(FATAL, "Mortaring element was not of an expected type.");
    }
   }
  }

References helpers::check(), e(), FATAL, i, logger, oomph::NodeElementSolidOnlyMortaringElement::position_in_element(), Eigen::bfloat16_impl::pow(), oomph::NodeElementSolidOnlyMortaringElement::solid_node_pt(), oomph::NodeNodeConstraintElement::solid_node_pt(), sqrt(), and oomph::Node::x().

◆ verify_mortared_nodes_coincide() [2/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::verify_mortared_nodes_coincide ( )

inline

  {
   for(unsigned e=0; e<Mortaring_mesh_pt->nelement(); e++)
   {
    { 
     NodeNodeMortaringElement* el_pt = dynamic_cast<NodeNodeMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the nodes and check their distance
      SolidNode* node0_pt = el_pt->solid_node_pt(0);
      SolidNode* node1_pt = el_pt->solid_node_pt(1);
      
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node0_pt->x(i) - node1_pt->x(i), 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared nodes");
      
      // Go to the next mortaring element
      continue;
     }
    }
    // If we did not continue that means we need to try with a node-element mortaring element
    { 
     NodeElementSolidOnlyMortaringElement* el_pt = dynamic_cast<NodeElementSolidOnlyMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the node and element and check their distance
      SolidNode* node_pt = el_pt->solid_node_pt();
  
      Vector<double> x_in_elem(3, 0.0);
      el_pt->position_in_element(x_in_elem);
  
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node_pt->x(i) - x_in_elem[i], 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared node and element");
  
      // Go to the next mortaring element
      continue;
     }
     
     // Should never get here but throw an error if we do
     logger(FATAL, "Mortaring element was not of an expected type.");
    }
   }
  }

References helpers::check(), e(), FATAL, i, logger, oomph::NodeElementSolidOnlyMortaringElement::position_in_element(), Eigen::bfloat16_impl::pow(), oomph::NodeElementSolidOnlyMortaringElement::solid_node_pt(), oomph::NodeNodeConstraintElement::solid_node_pt(), sqrt(), and oomph::Node::x().

◆ verify_mortared_nodes_coincide() [3/3]

template<class ELEMENT , class NON_MORTAR_ELEMENT >

void MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::verify_mortared_nodes_coincide ( )

inline

  {
   for(unsigned e=0; e<Mortaring_mesh_pt->nelement(); e++)
   {
    { 
     NodeNodeMortaringElement* el_pt = dynamic_cast<NodeNodeMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the nodes and check their distance
      SolidNode* node0_pt = el_pt->solid_node_pt(0);
      SolidNode* node1_pt = el_pt->solid_node_pt(1);
      
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node0_pt->x(i) - node1_pt->x(i), 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared nodes");
      
      // Go to the next mortaring element
      continue;
     }
    }
    // If we did not continue that means we need to try with a node-element mortaring element
    { 
     NodeElementSolidOnlyMortaringElement* el_pt = dynamic_cast<NodeElementSolidOnlyMortaringElement*>(Mortaring_mesh_pt->element_pt(e));
     if(el_pt != 0)
     {
      // Get the node and element and check their distance
      SolidNode* node_pt = el_pt->solid_node_pt();
  
      Vector<double> x_in_elem(3, 0.0);
      el_pt->position_in_element(x_in_elem);
  
      double distance = 0.0;
      for(unsigned i=0; i<3; i++)
      {
       distance += pow(node_pt->x(i) - x_in_elem[i], 2.0);
      }
      distance = sqrt(distance);
      
      // Assert that the distance is within the expected tolerance
      helpers::check(distance, 0.0, 1e-10, "Distance between mortared node and element");
     }
     
     // Should never get here but throw an error if we do
     logger(FATAL, "Mortaring element was not of an expected type.");
    }
   }
  }

References helpers::check(), e(), FATAL, i, logger, oomph::NodeElementSolidOnlyMortaringElement::position_in_element(), Eigen::bfloat16_impl::pow(), oomph::NodeElementSolidOnlyMortaringElement::solid_node_pt(), oomph::NodeNodeConstraintElement::solid_node_pt(), sqrt(), and oomph::Node::x().

Member Data Documentation

◆ Constituent_mesh_pt

template<class ELEMENT , class NON_MORTAR_ELEMENT >

Vector< SolidMesh * > MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::Constituent_mesh_pt

◆ Constitutive_law_pt

template<class ELEMENT , class NON_MORTAR_ELEMENT >

ConstitutiveLaw * MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::Constitutive_law_pt

◆ doc_info

template<class ELEMENT , class NON_MORTAR_ELEMENT >

DocInfo MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::doc_info

◆ E

template<class ELEMENT , class NON_MORTAR_ELEMENT >

double MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::E

◆ Mortaring_mesh_pt

template<class ELEMENT , class NON_MORTAR_ELEMENT >

Mesh * MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::Mortaring_mesh_pt

◆ Non_mortared_mesh_pt

template<class ELEMENT , class NON_MORTAR_ELEMENT >

SolidMesh* MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::Non_mortared_mesh_pt

◆ Nu

template<class ELEMENT , class NON_MORTAR_ELEMENT >

double MortaringValidationProblem< ELEMENT, NON_MORTAR_ELEMENT >::Nu

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

Public Member Functions

Public Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ MortaringValidationProblem() [1/3]

◆ MortaringValidationProblem() [2/3]

◆ MortaringValidationProblem() [3/3]

Member Function Documentation

◆ actions_after_adapt() [1/3]

◆ actions_after_adapt() [2/3]

◆ actions_after_adapt() [3/3]

◆ actions_before_adapt() [1/3]

◆ actions_before_adapt() [2/3]

◆ actions_before_adapt() [3/3]

◆ add_mortaring_elements() [1/3]

◆ add_mortaring_elements() [2/3]

◆ add_mortaring_elements() [3/3]

◆ build_and_add_mortaring_elements()

◆ build_constraint_elements() [1/2]

◆ build_constraint_elements() [2/2]

◆ build_mortaring_elements()

◆ output()

◆ pin_dofs() [1/2]

◆ pin_dofs() [2/2]

◆ pin_mortared_status_dofs()

◆ run() [1/2]

◆ run() [2/2]

◆ set_do_not_output_distance()

◆ set_output_distance()

◆ setup_elements() [1/2]

◆ setup_elements() [2/2]

◆ setup_multi_domain_interaction()

◆ setup_refinement() [1/2]

◆ setup_refinement() [2/2]

◆ verify_mortared_nodes_coincide() [1/3]

◆ verify_mortared_nodes_coincide() [2/3]

◆ verify_mortared_nodes_coincide() [3/3]

Member Data Documentation

◆ Constituent_mesh_pt

◆ Constitutive_law_pt

◆ doc_info

◆ E

◆ Mortaring_mesh_pt

◆ Non_mortared_mesh_pt

◆ Nu