#include <poisson.h>

Inheritance diagram for Poisson< dim >:

Public Types
using	CopyData = MeshWorker::CopyData< 1, 1, 1 >

using	ScratchData = MeshWorker::ScratchData< dim >

Public Member Functions
	Poisson ()

void	print_system_info ()

void	run ()

void	initialize (const std::string &filename)

void	parse_string (const std::string &par)

Protected Member Functions
void	assemble_system_one_cell (const typename DoFHandler< dim >::active_cell_iterator &cell, ScratchData &scratch, CopyData &copy)

void	copy_one_cell (const CopyData &copy)

void	make_grid ()

void	refine_grid ()

void	setup_system ()

void	assemble_system ()

void	assemble_system_on_range (const typename DoFHandler< dim >::active_cell_iterator &begin, const typename DoFHandler< dim >::active_cell_iterator &end)

void	solve ()

void	estimate ()

void	mark ()

void	output_results (const unsigned cycle) const

Protected Attributes
TimerOutput	timer

Triangulation< dim >	triangulation

std::unique_ptr< FE_Q< dim > >	fe

std::unique_ptr< MappingQGeneric< dim > >	mapping

DoFHandler< dim >	dof_handler

AffineConstraints< double >	constraints

SparsityPattern	sparsity_pattern

SparseMatrix< double >	system_matrix

Vector< double >	solution

Vector< double >	system_rhs

Vector< float >	error_per_cell

std::string	estimator_type = "exact"

std::string	marking_strategy = "global"

std::pair< double, double >	coarsening_and_refinement_factors = {0.03, 0.3}

FunctionParser< dim >	forcing_term

FunctionParser< dim >	coefficient

FunctionParser< dim >	exact_solution

FunctionParser< dim >	dirichlet_boundary_condition

FunctionParser< dim >	neumann_boundary_condition

FunctionParser< dim >	pre_refinement

unsigned int	fe_degree = 1

unsigned int	mapping_degree = 1

unsigned int	n_refinements = 4

unsigned int	n_refinement_cycles = 1

std::string	output_filename = "poisson"

int	number_of_threads = -1

std::set< types::boundary_id >	dirichlet_ids = {0}

std::set< types::boundary_id >	neumann_ids

std::string	forcing_term_expression = "1"

std::string	coefficient_expression = "1"

std::string	exact_solution_expression = "0"

std::string	dirichlet_boundary_conditions_expression = "0"

std::string	neumann_boundary_conditions_expression = "0"

std::string	pre_refinement_expression = "0"

std::map< std::string, double >	constants

std::string	grid_generator_function = "hyper_cube"

std::string	grid_generator_arguments = "0: 1: false"

ParsedConvergenceTable	error_table

bool	use_direct_solver = true

ParameterAcceptorProxy< ReductionControl >	solver_control

Friends
template<typename Integral >
class	PoissonTester

Additional Inherited Members
Private Member Functions inherited from ParameterAcceptor
	ParameterAcceptor (const std::string &section_name="")

virtual	~ParameterAcceptor () override

virtual void	declare_parameters (ParameterHandler &prm)

virtual void	parse_parameters (ParameterHandler &prm)

std::string	get_section_name () const

std::vector< std::string >	get_section_path () const

void	add_parameter (const std::string &entry, ParameterType &parameter, const std::string &documentation="", ParameterHandler &prm_=prm, const Patterns::PatternBase &pattern=*Patterns::Tools::Convert< ParameterType >::to_pattern())

void	enter_my_subsection (ParameterHandler &prm)

void	leave_my_subsection (ParameterHandler &prm)

Private Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

void	serialize (Archive &ar, const unsigned int version)

Static Private Member Functions inherited from ParameterAcceptor
static void	initialize (const std::string &filename="", const std::string &output_filename="", const ParameterHandler::OutputStyle output_style_for_output_filename=ParameterHandler::Short, ParameterHandler &prm=ParameterAcceptor::prm, const ParameterHandler::OutputStyle output_style_for_filename=ParameterHandler::DefaultStyle)

static void	initialize (std::istream &input_stream, ParameterHandler &prm=ParameterAcceptor::prm)

static void	clear ()

static void	parse_all_parameters (ParameterHandler &prm=ParameterAcceptor::prm)

static void	declare_all_parameters (ParameterHandler &prm=ParameterAcceptor::prm)

Static Private Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Private Attributes inherited from ParameterAcceptor
boost::signals2::signal< void()>	declare_parameters_call_back

boost::signals2::signal< void()>	parse_parameters_call_back

const std::string	section_name

Static Private Attributes inherited from ParameterAcceptor
static ParameterHandler	prm

Detailed Description

template<int dim>
class Poisson< dim >

Solve the Poisson problem, with Dirichlet or Neumann boundary conditions, on all geometries that can be generated by the functions in the GridGenerator namespace.

Definition at line 72 of file poisson.h.

Member Typedef Documentation

◆ CopyData

template<int dim>

using Poisson< dim >::CopyData = MeshWorker::CopyData<1, 1, 1>

Definition at line 93 of file poisson.h.

◆ ScratchData

template<int dim>

using Poisson< dim >::ScratchData = MeshWorker::ScratchData<dim>

Definition at line 94 of file poisson.h.

Constructor & Destructor Documentation

◆ Poisson()

template<int dim>

Poisson< dim >::Poisson

Constructor. Initialize all parameters, and make sure the class is ready to run.

Definition at line 39 of file poisson.cc.

References ParameterAcceptor::add_parameter(), Poisson< dim >::coefficient_expression, Poisson< dim >::constants, Poisson< dim >::dirichlet_boundary_conditions_expression, Poisson< dim >::dirichlet_ids, e(), Poisson< dim >::estimator_type, Poisson< dim >::exact_solution_expression, Poisson< dim >::fe_degree, Poisson< dim >::forcing_term_expression, Poisson< dim >::grid_generator_arguments, Poisson< dim >::grid_generator_function, Poisson< dim >::mapping_degree, Poisson< dim >::marking_strategy, Poisson< dim >::n_refinement_cycles, Poisson< dim >::n_refinements, Poisson< dim >::neumann_boundary_conditions_expression, Poisson< dim >::neumann_ids, Poisson< dim >::number_of_threads, Poisson< dim >::output_filename, Poisson< dim >::pre_refinement_expression, ParameterAcceptor::prm, Poisson< dim >::timer, and triangulation.

Member Function Documentation

◆ assemble_system()

template<int dim>

void Poisson< dim >::assemble_system

protected

Definition at line 294 of file poisson.cc.

References copy(), WorkStream::run(), update_gradients, update_JxW_values, update_quadrature_points, and update_values.

◆ assemble_system_on_range()

template<int dim>

void Poisson< dim >::assemble_system_on_range	(	const typename DoFHandler< dim >::active_cell_iterator &	begin,
		const typename DoFHandler< dim >::active_cell_iterator &	end
	)

protected

Definition at line 261 of file poisson.cc.

References begin(), copy(), end(), update_gradients, update_JxW_values, update_quadrature_points, and update_values.

◆ assemble_system_one_cell()

template<int dim>

void Poisson< dim >::assemble_system_one_cell	(	const typename DoFHandler< dim >::active_cell_iterator &	cell,
		ScratchData &	scratch,
		CopyData &	copy
	)

protected

Definition at line 198 of file poisson.cc.

References cell_matrix(), copy(), and MeshWorker::ScratchData< dim, spacedim >::reinit().

◆ copy_one_cell()

template<int dim>

void Poisson< dim >::copy_one_cell ( const CopyData & copy )

protected

Definition at line 248 of file poisson.cc.

References copy().

◆ estimate()

template<int dim>

void Poisson< dim >::estimate

protected

Definition at line 351 of file poisson.cc.

References AssertThrow, KellyErrorEstimator< dim, spacedim >::estimate(), ExcNotImplemented(), FEValuesBase< dim, dim >::get_function_laplacians(), VectorTools::H1_seminorm, VectorTools::integrate_difference(), FEValuesBase< dim, dim >::JxW(), FEValuesBase< dim, dim >::quadrature_point(), FEValuesBase< dim, dim >::quadrature_point_indices(), FEValues< dim >::reinit(), Quadrature< dim >::size(), update_hessians, update_JxW_values, and update_quadrature_points.

◆ initialize()

template<int dim>

void Poisson< dim >::initialize ( const std::string & filename )

Definition at line 94 of file poisson.cc.

References ParameterAcceptor::initialize().

Referenced by main().

◆ make_grid()

template<int dim>

void Poisson< dim >::make_grid

protected

Definition at line 117 of file poisson.cc.

◆ mark()

template<int dim>

void Poisson< dim >::mark

protected

Definition at line 450 of file poisson.cc.

References Assert, ExcInternalError(), GridRefinement::refine_and_coarsen_fixed_fraction(), GridRefinement::refine_and_coarsen_fixed_number(), and triangulation.

◆ output_results()

template<int dim>

void Poisson< dim >::output_results ( const unsigned cycle ) const

protected

Definition at line 482 of file poisson.cc.

References DataOut_DoFData< DoFHandler< dim >, DoFHandler< dim > ::dimension, DoFHandler< dim > ::space_dimension >::add_data_vector(), DataOut_DoFData< DoFHandler< dim >, DoFHandler< dim > ::dimension, DoFHandler< dim > ::space_dimension >::attach_dof_handler(), DataOut< dim >::build_patches(), VectorTools::interpolate(), DataOutInterface< patch_dim, patch_space_dim >::set_flags(), DataOutBase::VtkFlags::write_higher_order_cells, and DataOutInterface< patch_dim, patch_space_dim >::write_vtu().

◆ parse_string()

template<int dim>

void Poisson< dim >::parse_string ( const std::string & par )

Definition at line 106 of file poisson.cc.

◆ print_system_info()

template<int dim>

void Poisson< dim >::print_system_info

Definition at line 510 of file poisson.cc.

References MultithreadInfo::n_cores(), MultithreadInfo::n_threads(), and MultithreadInfo::set_thread_limit().

◆ refine_grid()

template<int dim>

void Poisson< dim >::refine_grid

protected

Definition at line 143 of file poisson.cc.

References triangulation.

◆ run()

template<int dim>

void Poisson< dim >::run

Definition at line 525 of file poisson.cc.

Referenced by main().

◆ setup_system()

template<int dim>

void Poisson< dim >::setup_system

protected

Definition at line 154 of file poisson.cc.

References VectorTools::interpolate_boundary_values(), DoFTools::make_hanging_node_constraints(), DoFTools::make_sparsity_pattern(), and triangulation.

◆ solve()

template<int dim>

void Poisson< dim >::solve

protected

Definition at line 324 of file poisson.cc.

References TrilinosWrappers::PreconditionAMG::initialize(), SparseDirectUMFPACK::initialize(), SolverCG< VectorType >::solve(), and SparseDirectUMFPACK::vmult().

Friends And Related Function Documentation

◆ PoissonTester

template<int dim>

template<typename Integral >

friend class PoissonTester

friend

Definition at line 187 of file poisson.h.

Member Data Documentation

◆ coarsening_and_refinement_factors

template<int dim>

std::pair<double, double> Poisson< dim >::coarsening_and_refinement_factors = {0.03, 0.3}

protected

Definition at line 148 of file poisson.h.

◆ coefficient

template<int dim>

FunctionParser<dim> Poisson< dim >::coefficient

protected

Definition at line 152 of file poisson.h.

◆ coefficient_expression

template<int dim>

std::string Poisson< dim >::coefficient_expression = "1"

protected

Definition at line 170 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ constants

template<int dim>

std::map<std::string, double> Poisson< dim >::constants

protected

Definition at line 175 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ constraints

template<int dim>

AffineConstraints<double> Poisson< dim >::constraints

protected

Definition at line 139 of file poisson.h.

◆ dirichlet_boundary_condition

template<int dim>

FunctionParser<dim> Poisson< dim >::dirichlet_boundary_condition

protected

Definition at line 154 of file poisson.h.

◆ dirichlet_boundary_conditions_expression

template<int dim>

std::string Poisson< dim >::dirichlet_boundary_conditions_expression = "0"

protected

Definition at line 172 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ dirichlet_ids

template<int dim>

std::set<types::boundary_id> Poisson< dim >::dirichlet_ids = {0}

protected

Definition at line 166 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ dof_handler

template<int dim>

DoFHandler<dim> Poisson< dim >::dof_handler

protected

Definition at line 138 of file poisson.h.

◆ error_per_cell

template<int dim>

Vector<float> Poisson< dim >::error_per_cell

protected

Definition at line 145 of file poisson.h.

◆ error_table

template<int dim>

ParsedConvergenceTable Poisson< dim >::error_table

protected

Definition at line 180 of file poisson.h.

◆ estimator_type

template<int dim>

std::string Poisson< dim >::estimator_type = "exact"

protected

Definition at line 146 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ exact_solution

template<int dim>

FunctionParser<dim> Poisson< dim >::exact_solution

protected

Definition at line 153 of file poisson.h.

◆ exact_solution_expression

template<int dim>

std::string Poisson< dim >::exact_solution_expression = "0"

protected

Definition at line 171 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ fe

template<int dim>

std::unique_ptr<FE_Q<dim> > Poisson< dim >::fe

protected

Definition at line 136 of file poisson.h.

◆ fe_degree

template<int dim>

unsigned int Poisson< dim >::fe_degree = 1

protected

Definition at line 159 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ forcing_term

template<int dim>

FunctionParser<dim> Poisson< dim >::forcing_term

protected

Definition at line 151 of file poisson.h.

◆ forcing_term_expression

template<int dim>

std::string Poisson< dim >::forcing_term_expression = "1"

protected

Definition at line 169 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ grid_generator_arguments

template<int dim>

std::string Poisson< dim >::grid_generator_arguments = "0: 1: false"

protected

Definition at line 178 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ grid_generator_function

template<int dim>

std::string Poisson< dim >::grid_generator_function = "hyper_cube"

protected

Definition at line 177 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ mapping

template<int dim>

std::unique_ptr<MappingQGeneric<dim> > Poisson< dim >::mapping

protected

Definition at line 137 of file poisson.h.

◆ mapping_degree

template<int dim>

unsigned int Poisson< dim >::mapping_degree = 1

protected

Definition at line 160 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ marking_strategy

template<int dim>

std::string Poisson< dim >::marking_strategy = "global"

protected

Definition at line 147 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ n_refinement_cycles

template<int dim>

unsigned int Poisson< dim >::n_refinement_cycles = 1

protected

Definition at line 162 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ n_refinements

template<int dim>

unsigned int Poisson< dim >::n_refinements = 4

protected

Definition at line 161 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ neumann_boundary_condition

template<int dim>

FunctionParser<dim> Poisson< dim >::neumann_boundary_condition

protected

Definition at line 155 of file poisson.h.

◆ neumann_boundary_conditions_expression

template<int dim>

std::string Poisson< dim >::neumann_boundary_conditions_expression = "0"

protected

Definition at line 173 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ neumann_ids

template<int dim>

std::set<types::boundary_id> Poisson< dim >::neumann_ids

protected

Definition at line 167 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ number_of_threads

template<int dim>

int Poisson< dim >::number_of_threads = -1

protected

Definition at line 164 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ output_filename

template<int dim>

std::string Poisson< dim >::output_filename = "poisson"

protected

Definition at line 163 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ pre_refinement

template<int dim>

FunctionParser<dim> Poisson< dim >::pre_refinement

protected

Definition at line 156 of file poisson.h.

◆ pre_refinement_expression

template<int dim>

std::string Poisson< dim >::pre_refinement_expression = "0"

protected

Definition at line 174 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ solution

template<int dim>

Vector<double> Poisson< dim >::solution

protected

Definition at line 142 of file poisson.h.

◆ solver_control

template<int dim>

ParameterAcceptorProxy<ReductionControl> Poisson< dim >::solver_control

protected

Definition at line 184 of file poisson.h.

◆ sparsity_pattern

template<int dim>

SparsityPattern Poisson< dim >::sparsity_pattern

protected

Definition at line 140 of file poisson.h.

◆ system_matrix

template<int dim>

SparseMatrix<double> Poisson< dim >::system_matrix

protected

Definition at line 141 of file poisson.h.

◆ system_rhs

template<int dim>

Vector<double> Poisson< dim >::system_rhs

protected

Definition at line 143 of file poisson.h.

◆ timer

template<int dim>

TimerOutput Poisson< dim >::timer

mutableprotected

Definition at line 133 of file poisson.h.

Referenced by Poisson< dim >::Poisson().

◆ triangulation

template<int dim>

Triangulation<dim> Poisson< dim >::triangulation

protected

Definition at line 135 of file poisson.h.

◆ use_direct_solver

template<int dim>

bool Poisson< dim >::use_direct_solver = true

protected

Definition at line 182 of file poisson.h.

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

/github/workspace/include/poisson.h
/github/workspace/source/poisson.cc

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

template<int dim> class Poisson< dim >

Member Typedef Documentation

◆ CopyData

◆ ScratchData

Constructor & Destructor Documentation

◆ Poisson()

Member Function Documentation

◆ assemble_system()

◆ assemble_system_on_range()

◆ assemble_system_one_cell()

◆ copy_one_cell()

◆ estimate()

◆ initialize()

◆ make_grid()

◆ mark()

◆ output_results()

◆ parse_string()

◆ print_system_info()

◆ refine_grid()

◆ run()

◆ setup_system()

◆ solve()

Friends And Related Function Documentation

◆ PoissonTester

Member Data Documentation

◆ coarsening_and_refinement_factors

◆ coefficient

◆ coefficient_expression

◆ constants

◆ constraints

◆ dirichlet_boundary_condition

◆ dirichlet_boundary_conditions_expression

◆ dirichlet_ids

◆ dof_handler

◆ error_per_cell

◆ error_table

◆ estimator_type

◆ exact_solution

◆ exact_solution_expression

◆ fe

◆ fe_degree

◆ forcing_term

◆ forcing_term_expression

◆ grid_generator_arguments

◆ grid_generator_function

◆ mapping

◆ mapping_degree

◆ marking_strategy

◆ n_refinement_cycles

◆ n_refinements

◆ neumann_boundary_condition

◆ neumann_boundary_conditions_expression

◆ neumann_ids

◆ number_of_threads

◆ output_filename

◆ pre_refinement

◆ pre_refinement_expression

◆ solution

◆ solver_control

◆ sparsity_pattern

◆ system_matrix

◆ system_rhs

◆ timer

◆ triangulation

◆ use_direct_solver

template<int dim>
class Poisson< dim >