Class representing the resolution of problems using discontinuous Galerkin methods. More...

#include <model_DG.hpp>

Inheritance diagram for ModelDG< basis >:

Collaboration diagram for ModelDG< basis >:

Public Member Functions
	ModelDG (std::string model_name)
	Constructor. More...

	ModelDG (ModelDG< basis > &ModelDG)=default
	Default copy constructor. More...

	ModelDG (const ModelDG< basis > &ModelDG)=default
	Default const copy constructor. More...

	ModelDG (ModelDG< basis > &&ModelDG)=default
	Default move constructor. More...

virtual void	declare_parameters (lifex::ParamHandler &params) const override
	Declare main parameters. More...

virtual void	parse_parameters (lifex::ParamHandler &params) override
	Parse parameters from .prm file. More...

unsigned int	get_dofs_per_cell () const
	Return the number of degrees of freedom per element. More...

virtual void	run () override
	Run the simulation. More...

virtual	~ModelDG ()=default
	Destructor. More...

Protected Member Functions
virtual void	setup_system ()
	Setup of the problem before the resolution. More...

void	make_sparsity_pattern (const DoFHandlerDG< basis > &dof, dealii::DynamicSparsityPattern &sparsity, const dealii::AffineConstraints< double > &constraints=dealii::AffineConstraints< double >(), const bool keep_constrained_dofs=true, const dealii::types::subdomain_id subdomain_id=dealii::numbers::invalid_subdomain_id)
	Creation of the sparsity pattern to assign to the system matrix before assembling. More...

void	initialize_solution (lifex::LinAlg::MPI::Vector &solution_owned, lifex::LinAlg::MPI::Vector &solution)
	To inizialize the solutions using the deal.II reinit. More...

virtual void	assemble_system ()=0
	Assembly of the linear system, pure virtual. More...

void	create_mesh ()
	Load the mesh from the default path. More...

void	create_mesh (std::string mesh_path)
	Load the mesh from a user-defined path. More...

void	solve_system ()
	System solving. More...

void	compute_errors (const lifex::LinAlg::MPI::Vector &solution_owned, const lifex::LinAlg::MPI::Vector &solution_ex_owned, const std::shared_ptr< dealii::Function< lifex::dim >> &u_ex, const std::shared_ptr< dealii::Function< lifex::dim >> &grad_u_ex, const char solution_name=(char )"u") const
	To compute the \(L^\infty\) error, the \(L^2\) error, the \(H^1\) error and the \(DG\) error at the end of system solving, it exploits the DGComputeErrors<basis> class. More...

virtual void	output_results (std::string output_name="solution") const
	Output of results. More...

virtual void	conversion_to_fem (lifex::LinAlg::MPI::Vector &sol_owned)
	To convert a discretized solution from modal to nodal basis (does nothing if problem is already in nodal basis), in-place version. More...

virtual lifex::LinAlg::MPI::Vector	conversion_to_fem (const lifex::LinAlg::MPI::Vector &sol_owned) const
	To convert a discretized solution from modal to nodal basis (does nothing if problem is already in nodal basis), const version. More...

virtual void	conversion_to_fem (lifex::LinAlg::MPI::Vector &sol_owned, const std::string fem_file_path, const unsigned int degree_fem=1, const double scaling_factor=1) const

virtual void	conversion_to_dub (lifex::LinAlg::MPI::Vector &sol_owned)
	To convert a discretized solution in Dubiner basis (only for problems using Dubiner basis). More...

virtual lifex::LinAlg::MPI::Vector	conversion_to_dub (const lifex::LinAlg::MPI::Vector &sol_owned) const
	To convert a discretized solution in Dubiner basis (only for problems using Dubiner basis). More...

virtual void	conversion_to_dub (lifex::LinAlg::MPI::Vector &sol_owned, const std::string fem_file_path, const unsigned int degree_fem=1, const double scaling_factor=1) const

void	discretize_analytical_solution (const std::shared_ptr< dealii::Function< lifex::dim >> &u_analytical, lifex::LinAlg::MPI::Vector &sol_owned)
	Conversion of an analytical solution from FEM to basis coefficients. More...

void	conversion_to_fem (lifex::LinAlg::MPI::Vector &sol_owned)
	Conversion of a discretized solution from Dubiner coefficients to FEM coefficients. More...

lifex::LinAlg::MPI::Vector	conversion_to_fem (const lifex::LinAlg::MPI::Vector &sol_owned) const
	Conversion to FEM coefficients, const version. More...

void	conversion_to_fem (lifex::LinAlg::MPI::Vector &sol_owned, const std::string fem_file_path, const unsigned int degree_fem, const double scaling_factor) const

void	conversion_to_dub (lifex::LinAlg::MPI::Vector &sol_owned)
	Conversion of a discretized solution from FEM coefficients to Dubiner coefficients. More...

lifex::LinAlg::MPI::Vector	conversion_to_dub (const lifex::LinAlg::MPI::Vector &sol_owned) const
	Conversion to DUB coefficients, const version. More...

void	conversion_to_dub (lifex::LinAlg::MPI::Vector &sol_owned, const std::string fem_file_path, const unsigned int degree_fem, const double scaling_factor) const

void	discretize_analytical_solution (const std::shared_ptr< dealii::Function< lifex::dim >> &u_analytical, lifex::LinAlg::MPI::Vector &sol_owned)
	Conversion of an analytical solution from FEM to basis coefficients. More...

void	discretize_analytical_solution (const std::shared_ptr< dealii::Function< lifex::dim >> &u_analytical, lifex::LinAlg::MPI::Vector &sol_owned)
	Conversion of an analytical solution from FEM to basis coefficients. More...

Protected Attributes
const std::string	model_name
	Name of the class/problem. More...

unsigned int	prm_fe_degree
	Polynomials degree. More...

unsigned int	prm_n_refinements
	Mesh refinement level (>=1). More...

double	prm_penalty_coeff
	DG Penalty coefficient. More...

double	prm_stability_coeff
	DG stabilty coefficient. More...

double	scaling_factor = 1
	Scaling factor. More...

std::shared_ptr< lifex::utils::MeshHandler >	triangulation
	Triangulation (internal use for useful already implemented methods). More...

unsigned int	dofs_per_cell
	Number of degrees of freedom per cell. More...

DoFHandlerDG< basis >	dof_handler
	DoFHandler (internal use for useful already implemented methods). More...

std::shared_ptr< DUBFEMHandler< basis > >	dub_fem_values
	Member used for conversions between analytical, nodal and modal representations of the solutions. More...

std::unique_ptr< AssembleDG< basis > >	assemble
	Matrix assembler. More...

lifex::utils::LinearSolverHandler< lifex::LinAlg::MPI::Vector >	linear_solver
	Linear solver handler. More...

lifex::utils::PreconditionerHandler	preconditioner
	Preconditioner handler. More...

lifex::LinAlg::MPI::SparseMatrix	matrix
	Distributed matrix of the linear system. More...

lifex::LinAlg::MPI::Vector	rhs
	Distributed right hand side vector of the linear system. More...

lifex::LinAlg::MPI::Vector	solution_owned
	Distributed solution vector, without ghost entries. More...

lifex::LinAlg::MPI::Vector	solution
	Distributed solution vector, with ghost entries. More...

lifex::LinAlg::MPI::Vector	solution_ex_owned
	Distributed exact solution vector, without ghost entries. More...

lifex::LinAlg::MPI::Vector	solution_ex
	Distributed exact solution vector, without ghost entries. More...

std::shared_ptr< lifex::utils::FunctionDirichlet >	u_ex
	Pointer to exact solution function. More...

std::shared_ptr< dealii::Function< lifex::dim > >	grad_u_ex
	Pointer to exact gradient solution Function. More...

std::shared_ptr< dealii::Function< lifex::dim > >	f_ex
	Known forcing term. More...

std::shared_ptr< dealii::Function< lifex::dim > >	g_n
	Neumann boundary conditions. More...

Detailed Description

template<class basis>
class ModelDG< basis >

Class representing the resolution of problems using discontinuous Galerkin methods.

Definition at line 62 of file model_DG.hpp.

Constructor & Destructor Documentation

◆ ModelDG() [1/4]

template<class basis >

ModelDG< basis >::ModelDG ( std::string model_name )

inline

Constructor.

Definition at line 66 of file model_DG.hpp.

◆ ModelDG() [2/4]

template<class basis >

ModelDG< basis >::ModelDG ( ModelDG< basis > & ModelDG )

default

Default copy constructor.

◆ ModelDG() [3/4]

template<class basis >

ModelDG< basis >::ModelDG ( const ModelDG< basis > & ModelDG )

default

Default const copy constructor.

◆ ModelDG() [4/4]

template<class basis >

ModelDG< basis >::ModelDG ( ModelDG< basis > && ModelDG )

default

Default move constructor.

◆ ~ModelDG()

template<class basis >

virtual ModelDG< basis >::~ModelDG ( )

virtualdefault

Destructor.

Member Function Documentation

◆ assemble_system()

template<class basis >

virtual void ModelDG< basis >::assemble_system ( )

protectedpure virtual

Assembly of the linear system, pure virtual.

To specialize in relation to the model to solve.

Implemented in DUBeat::models::MonodomainFHNDG< basis >, DUBeat::models::LaplaceDG< basis >, and DUBeat::models::HeatDG< basis >.

◆ compute_errors()

template<class basis >

void ModelDG< basis >::compute_errors	(	const lifex::LinAlg::MPI::Vector &	solution_owned,
		const lifex::LinAlg::MPI::Vector &	solution_ex_owned,
		const std::shared_ptr< dealii::Function< lifex::dim >> &	u_ex,
		const std::shared_ptr< dealii::Function< lifex::dim >> &	grad_u_ex,
		const char *	solution_name = `(char *)"u"`
	)		const

protected

To compute the \(L^\infty\) error, the \(L^2\) error, the \(H^1\) error and the \(DG\) error at the end of system solving, it exploits the DGComputeErrors<basis> class.

Definition at line 547 of file model_DG.hpp.

◆ conversion_to_dub() [1/6]

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::conversion_to_dub ( const lifex::LinAlg::MPI::Vector & sol_owned ) const

protectedvirtual

To convert a discretized solution in Dubiner basis (only for problems using Dubiner basis).

Conversion to DUB coefficients, const version.

Const version.

Definition at line 690 of file model_DG.hpp.

◆ conversion_to_dub() [2/6]

lifex::LinAlg::MPI::Vector ModelDG< DUBValues< lifex::dim > >::conversion_to_dub ( const lifex::LinAlg::MPI::Vector & sol_owned ) const

protected

Conversion to DUB coefficients, const version.

Definition at line 699 of file model_DG.hpp.

◆ conversion_to_dub() [3/6]

template<class basis >

void ModelDG< basis >::conversion_to_dub ( lifex::LinAlg::MPI::Vector & sol_owned )

protectedvirtual

To convert a discretized solution in Dubiner basis (only for problems using Dubiner basis).

Conversion of a discretized solution from FEM coefficients to Dubiner coefficients.

In-place version.

Useless if we are not using Dubiner basis functions.

Definition at line 672 of file model_DG.hpp.

◆ conversion_to_dub() [4/6]

void ModelDG< DUBValues< lifex::dim > >::conversion_to_dub ( lifex::LinAlg::MPI::Vector & sol_owned )

protected

Conversion of a discretized solution from FEM coefficients to Dubiner coefficients.

Definition at line 681 of file model_DG.hpp.

◆ conversion_to_dub() [5/6]

void ModelDG< DUBValues< lifex::dim > >::conversion_to_dub	(	lifex::LinAlg::MPI::Vector &	sol_owned,
		const std::string	fem_file_path,
		const unsigned int	degree_fem,
		const double	scaling_factor
	)		const

protected

Definition at line 719 of file model_DG.hpp.

◆ conversion_to_dub() [6/6]

template<class basis >

void ModelDG< basis >::conversion_to_dub	(	lifex::LinAlg::MPI::Vector &	sol_owned,
		const std::string	fem_file_path,
		const unsigned int	degree_fem = `1`,
		const double	scaling_factor = `1`
	)		const

protectedvirtual

Definition at line 709 of file model_DG.hpp.

◆ conversion_to_fem() [1/6]

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::conversion_to_fem ( const lifex::LinAlg::MPI::Vector & sol_owned ) const

protectedvirtual

To convert a discretized solution from modal to nodal basis (does nothing if problem is already in nodal basis), const version.

Conversion to FEM coefficients, const version.

Definition at line 625 of file model_DG.hpp.

◆ conversion_to_fem() [2/6]

lifex::LinAlg::MPI::Vector ModelDG< DUBValues< lifex::dim > >::conversion_to_fem ( const lifex::LinAlg::MPI::Vector & sol_owned ) const

protected

Conversion to FEM coefficients, const version.

Definition at line 634 of file model_DG.hpp.

◆ conversion_to_fem() [3/6]

template<class basis >

void ModelDG< basis >::conversion_to_fem ( lifex::LinAlg::MPI::Vector & sol_owned )

protectedvirtual

To convert a discretized solution from modal to nodal basis (does nothing if problem is already in nodal basis), in-place version.

Conversion of a discretized solution from Dubiner coefficients to FEM coefficients.

It exploits dubiner_to_fem from DUB_FEM_handler.hpp so the same considerations as in output_results hold.

Useless if we are not using Dubiner basis functions.

Definition at line 607 of file model_DG.hpp.

◆ conversion_to_fem() [4/6]

void ModelDG< DUBValues< lifex::dim > >::conversion_to_fem ( lifex::LinAlg::MPI::Vector & sol_owned )

protected

Conversion of a discretized solution from Dubiner coefficients to FEM coefficients.

Definition at line 616 of file model_DG.hpp.

◆ conversion_to_fem() [5/6]

void ModelDG< DUBValues< lifex::dim > >::conversion_to_fem	(	lifex::LinAlg::MPI::Vector &	sol_owned,
		const std::string	fem_file_path,
		const unsigned int	degree_fem,
		const double	scaling_factor
	)		const

protected

Definition at line 654 of file model_DG.hpp.

◆ conversion_to_fem() [6/6]

template<class basis >

void ModelDG< basis >::conversion_to_fem	(	lifex::LinAlg::MPI::Vector &	sol_owned,
		const std::string	fem_file_path,
		const unsigned int	degree_fem = `1`,
		const double	scaling_factor = `1`
	)		const

protectedvirtual

Definition at line 644 of file model_DG.hpp.

◆ create_mesh() [1/2]

template<class basis >

void ModelDG< basis >::create_mesh

protected

Load the mesh from the default path.

Definition at line 504 of file model_DG.hpp.

◆ create_mesh() [2/2]

template<class basis >

void ModelDG< basis >::create_mesh ( std::string mesh_path )

protected

Load the mesh from a user-defined path.

Definition at line 522 of file model_DG.hpp.

◆ declare_parameters()

template<class basis >

void ModelDG< basis >::declare_parameters ( lifex::ParamHandler & params ) const

overridevirtual

Declare main parameters.

Reimplemented in ModelDG_t< basis >, and DUBeat::models::MonodomainFHNDG< basis >.

Definition at line 262 of file model_DG.hpp.

◆ discretize_analytical_solution() [1/3]

template<class basis >

void ModelDG< basis >::discretize_analytical_solution	(	const std::shared_ptr< dealii::Function< lifex::dim >> &	u_analytical,
		lifex::LinAlg::MPI::Vector &	sol_owned
	)

protected

Conversion of an analytical solution from FEM to basis coefficients.

◆ discretize_analytical_solution() [2/3]

void ModelDG< dealii::FE_SimplexDGP< lifex::dim > >::discretize_analytical_solution	(	const std::shared_ptr< dealii::Function< lifex::dim >> &	u_analytical,
		lifex::LinAlg::MPI::Vector &	sol_owned
	)

protected

Conversion of an analytical solution from FEM to basis coefficients.

Specialization for FEM basis.

Definition at line 737 of file model_DG.hpp.

◆ discretize_analytical_solution() [3/3]

void ModelDG< DUBValues< lifex::dim > >::discretize_analytical_solution	(	const std::shared_ptr< dealii::Function< lifex::dim >> &	u_analytical,
		lifex::LinAlg::MPI::Vector &	sol_owned
	)

protected

Conversion of an analytical solution from FEM to basis coefficients.

Specialization for Dubiner basis.

Definition at line 748 of file model_DG.hpp.

◆ get_dofs_per_cell()

template<class basis >

unsigned int ModelDG< basis >::get_dofs_per_cell

Return the number of degrees of freedom per element.

Definition at line 330 of file model_DG.hpp.

◆ initialize_solution()

template<class basis >

void ModelDG< basis >::initialize_solution	(	lifex::LinAlg::MPI::Vector &	solution_owned,
		lifex::LinAlg::MPI::Vector &	solution
	)

protected

To inizialize the solutions using the deal.II reinit.

Definition at line 492 of file model_DG.hpp.

◆ make_sparsity_pattern()

template<class basis >

void ModelDG< basis >::make_sparsity_pattern	(	const DoFHandlerDG< basis > &	dof,
		dealii::DynamicSparsityPattern &	sparsity,
		const dealii::AffineConstraints< double > &	constraints = `dealii::AffineConstraints<double>()`,
		const bool	keep_constrained_dofs = `true`,
		const dealii::types::subdomain_id	subdomain_id = `dealii::numbers::invalid_subdomain_id`
	)

protected

Creation of the sparsity pattern to assign to the system matrix before assembling.

It has been readapted from the deal.II DoFTools::make_sparsity_pattern() method.

Definition at line 440 of file model_DG.hpp.

◆ output_results()

template<class basis >

void ModelDG< basis >::output_results ( std::string output_name = "solution" ) const

protectedvirtual

Output of results.

Note that, since it exploits dubiner_to_fem from DUB_FEM_handler.hpp, if the polynomial order chosen to solve the model is \(>2\), the FE space considered for the output will be of order at most 2. This leads to an output vector which correspondent visualization might be less refined. See DUB_FEM_handler.hpp for more details.

Definition at line 581 of file model_DG.hpp.

◆ parse_parameters()

template<class basis >

void ModelDG< basis >::parse_parameters ( lifex::ParamHandler & params )

overridevirtual

Parse parameters from .prm file.

Reimplemented in ModelDG_t< basis >, and DUBeat::models::MonodomainFHNDG< basis >.

Definition at line 301 of file model_DG.hpp.

◆ run()

template<class basis >

void ModelDG< basis >::run

overridevirtual

Run the simulation.

Reimplemented in ModelDG_t< basis >, and DUBeat::models::MonodomainFHNDG< basis >.

Definition at line 351 of file model_DG.hpp.

◆ setup_system()

template<class basis >

void ModelDG< basis >::setup_system

protectedvirtual

Setup of the problem before the resolution.

Definition at line 382 of file model_DG.hpp.

◆ solve_system()

template<class basis >

void ModelDG< basis >::solve_system

protected

System solving.

Definition at line 538 of file model_DG.hpp.

Member Data Documentation

◆ assemble

template<class basis >

std::unique_ptr<AssembleDG<basis> > ModelDG< basis >::assemble

protected

Matrix assembler.

Definition at line 233 of file model_DG.hpp.

◆ dof_handler

template<class basis >

DoFHandlerDG<basis> ModelDG< basis >::dof_handler

protected

DoFHandler (internal use for useful already implemented methods).

Definition at line 228 of file model_DG.hpp.

◆ dofs_per_cell

template<class basis >

unsigned int ModelDG< basis >::dofs_per_cell

protected

Number of degrees of freedom per cell.

Definition at line 226 of file model_DG.hpp.

◆ dub_fem_values

template<class basis >

std::shared_ptr<DUBFEMHandler<basis> > ModelDG< basis >::dub_fem_values

protected

Member used for conversions between analytical, nodal and modal representations of the solutions.

Definition at line 231 of file model_DG.hpp.

◆ f_ex

template<class basis >

std::shared_ptr<dealii::Function<lifex::dim> > ModelDG< basis >::f_ex

protected

Known forcing term.

Definition at line 255 of file model_DG.hpp.

◆ g_n

template<class basis >

std::shared_ptr<dealii::Function<lifex::dim> > ModelDG< basis >::g_n

protected

Neumann boundary conditions.

Definition at line 257 of file model_DG.hpp.

◆ grad_u_ex

template<class basis >

std::shared_ptr<dealii::Function<lifex::dim> > ModelDG< basis >::grad_u_ex

protected

Pointer to exact gradient solution Function.

Definition at line 253 of file model_DG.hpp.

◆ linear_solver

template<class basis >

lifex::utils::LinearSolverHandler<lifex::LinAlg::MPI::Vector> ModelDG< basis >::linear_solver

protected

Linear solver handler.

Definition at line 235 of file model_DG.hpp.

◆ matrix

template<class basis >

lifex::LinAlg::MPI::SparseMatrix ModelDG< basis >::matrix

protected

Distributed matrix of the linear system.

Definition at line 239 of file model_DG.hpp.

◆ model_name

template<class basis >

const std::string ModelDG< basis >::model_name

protected

Name of the class/problem.

Definition at line 212 of file model_DG.hpp.

◆ preconditioner

template<class basis >

lifex::utils::PreconditionerHandler ModelDG< basis >::preconditioner

protected

Preconditioner handler.

Definition at line 237 of file model_DG.hpp.

◆ prm_fe_degree

template<class basis >

unsigned int ModelDG< basis >::prm_fe_degree

protected

Polynomials degree.

Definition at line 214 of file model_DG.hpp.

◆ prm_n_refinements

template<class basis >

unsigned int ModelDG< basis >::prm_n_refinements

protected

Mesh refinement level (>=1).

Definition at line 216 of file model_DG.hpp.

◆ prm_penalty_coeff

template<class basis >

double ModelDG< basis >::prm_penalty_coeff

protected

DG Penalty coefficient.

Definition at line 218 of file model_DG.hpp.

◆ prm_stability_coeff

template<class basis >

double ModelDG< basis >::prm_stability_coeff

protected

DG stabilty coefficient.

Definition at line 220 of file model_DG.hpp.

◆ rhs

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::rhs

protected

Distributed right hand side vector of the linear system.

Definition at line 241 of file model_DG.hpp.

◆ scaling_factor

template<class basis >

double ModelDG< basis >::scaling_factor = 1

protected

Scaling factor.

Definition at line 222 of file model_DG.hpp.

◆ solution

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::solution

protected

Distributed solution vector, with ghost entries.

Definition at line 245 of file model_DG.hpp.

◆ solution_ex

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::solution_ex

protected

Distributed exact solution vector, without ghost entries.

Definition at line 249 of file model_DG.hpp.

◆ solution_ex_owned

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::solution_ex_owned

protected

Distributed exact solution vector, without ghost entries.

Definition at line 247 of file model_DG.hpp.

◆ solution_owned

template<class basis >

lifex::LinAlg::MPI::Vector ModelDG< basis >::solution_owned

protected

Distributed solution vector, without ghost entries.

Definition at line 243 of file model_DG.hpp.

◆ triangulation

template<class basis >

std::shared_ptr<lifex::utils::MeshHandler> ModelDG< basis >::triangulation

protected

Triangulation (internal use for useful already implemented methods).

Definition at line 224 of file model_DG.hpp.

◆ u_ex

template<class basis >

std::shared_ptr<lifex::utils::FunctionDirichlet> ModelDG< basis >::u_ex

protected

Pointer to exact solution function.

Definition at line 251 of file model_DG.hpp.

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

source/model_DG.hpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class basis> class ModelDG< basis >

Constructor & Destructor Documentation

◆ ModelDG() [1/4]

◆ ModelDG() [2/4]

◆ ModelDG() [3/4]

◆ ModelDG() [4/4]

◆ ~ModelDG()

Member Function Documentation

◆ assemble_system()

◆ compute_errors()

◆ conversion_to_dub() [1/6]

◆ conversion_to_dub() [2/6]

◆ conversion_to_dub() [3/6]

◆ conversion_to_dub() [4/6]

◆ conversion_to_dub() [5/6]

◆ conversion_to_dub() [6/6]

◆ conversion_to_fem() [1/6]

◆ conversion_to_fem() [2/6]

◆ conversion_to_fem() [3/6]

◆ conversion_to_fem() [4/6]

◆ conversion_to_fem() [5/6]

◆ conversion_to_fem() [6/6]

◆ create_mesh() [1/2]

◆ create_mesh() [2/2]

◆ declare_parameters()

◆ discretize_analytical_solution() [1/3]

◆ discretize_analytical_solution() [2/3]

◆ discretize_analytical_solution() [3/3]

◆ get_dofs_per_cell()

◆ initialize_solution()

◆ make_sparsity_pattern()

◆ output_results()

◆ parse_parameters()

◆ run()

◆ setup_system()

◆ solve_system()

Member Data Documentation

◆ assemble

◆ dof_handler

◆ dofs_per_cell

◆ dub_fem_values

◆ f_ex

◆ g_n

◆ grad_u_ex

◆ linear_solver

◆ matrix

◆ model_name

◆ preconditioner

◆ prm_fe_degree

◆ prm_n_refinements

◆ prm_penalty_coeff

◆ prm_stability_coeff

◆ rhs

◆ scaling_factor

◆ solution

◆ solution_ex

◆ solution_ex_owned

◆ solution_owned

◆ triangulation

◆ u_ex

template<class basis>
class ModelDG< basis >