SchemeGenerators

Functions
template<class DiscreteFunction , class Model , class InitialGuess , class RHSFunctional , std::enable_if_t<(IsWrappableByConstLocalFunction< InitialGuess >::value &&IsLinearFunctional< RHSFunctional >::value), int > = 0>
auto	Dune::ACFem::ellipticFemScheme (DiscreteFunction &solution, const Model &model, const InitialGuess &initialGuess, const RHSFunctional &rhsFunctional, const std::string name="acfem.schemes.elliptic")
	Adaptive fem-scheme for "elliptic" problems. More...
template<class DiscreteFunction , class Model , class InitialGuess , std::enable_if_t< IsWrappableByConstLocalFunction< InitialGuess >::value, int > = 0>
auto	Dune::ACFem::ellipticFemScheme (DiscreteFunction &solution, const Model &model, const InitialGuess &initialGuess, const std::string name="acfem.schemes.elliptic")
	Adaptive fem-scheme for "elliptic" problems. More...
template<class DiscreteFunction , class Model , class RHSFunctional , std::enable_if_t< IsLinearFunctional< RHSFunctional >::value, int > = 0>
auto	Dune::ACFem::ellipticFemScheme (DiscreteFunction &solution, const Model &model, const RHSFunctional &rhsFunctional, const std::string name="acfem.schemes.elliptic")
	Adaptive fem-scheme for "elliptic" problems. More...
template<class DiscreteFunction , class Model >
auto	Dune::ACFem::ellipticFemScheme (DiscreteFunction &solution, const Model &model, const std::string name="acfem.schemes.elliptic")
	Adaptive fem-scheme for "elliptic" problems. More...
template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , class RHSFunctional , template< class > class QuadratureTraits>
std::enable_if_t< IsLinearFunctional< RHSFunctional >::value, ParabolicFemScheme< DiscreteFunction, TimeProvider, ImplicitModel, ExplicitModel, InitialValue, RHSFunctional, QuadratureTraits > >	Dune::ACFem::parabolicFemScheme (DiscreteFunction &solution, const TimeProvider &timeProvider, const ImplicitModel &implicitModel, const ExplicitModel &explicitModel, const InitialValue &initialValue, const RHSFunctional &rhsFunctional, const QuadratureTraits< typename DiscreteFunction::DiscreteFunctionSpaceType::GridPartType > &quadTraits, const std::string &name="acfem.schemes.parabolic")
	Basic parabolic fem-scheme class. More...
template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , template< class > class QuadratureTraits>
auto	Dune::ACFem::parabolicFemScheme (DiscreteFunction &solution, const TimeProvider &timeProvider, const ImplicitModel &implicitModel, const ExplicitModel &explicitModel, const InitialValue &initialValue, const QuadratureTraits< typename DiscreteFunction::DiscreteFunctionSpaceType::GridPartType > &quadTraits, const std::string &name="acfem.schemes.parabolic")
	Basic parabolic fem-scheme class. More...
template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , class RHSFunctional >
std::enable_if_t< IsLinearFunctional< RHSFunctional >::value, ParabolicFemScheme< DiscreteFunction, TimeProvider, ImplicitModel, ExplicitModel, InitialValue, RHSFunctional, DefaultQuadratureTraits > >	Dune::ACFem::parabolicFemScheme (DiscreteFunction &solution, const TimeProvider &timeProvider, const ImplicitModel &implicitModel, const ExplicitModel &explicitModel, const InitialValue &initialValue, const RHSFunctional &rhsFunctional, const std::string &name="acfem.schemes.parabolic")
	Basic parabolic fem-scheme class. More...
template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue >
auto	Dune::ACFem::parabolicFemScheme (DiscreteFunction &solution, const TimeProvider &timeProvider, const ImplicitModel &implicitModel, const ExplicitModel &explicitModel, const InitialValue &initialValue, const std::string &name="acfem.schemes.parabolic")
	Basic parabolic fem-scheme class. More...

Detailed Description

Function Documentation

ellipticFemScheme() [1/4]

template<class DiscreteFunction , class Model , class InitialGuess , class RHSFunctional , std::enable_if_t<(IsWrappableByConstLocalFunction< InitialGuess >::value &&IsLinearFunctional< RHSFunctional >::value), int > = 0>

auto Dune::ACFem::ellipticFemScheme	(	DiscreteFunction &	solution,
		const Model &	model,
		const InitialGuess &	initialGuess,
		const RHSFunctional &	rhsFunctional,
		const std::string	name = "acfem.schemes.elliptic"
	)

Adaptive fem-scheme for "elliptic" problems.

The quotes are due to the fact, that neither the EllipticFemScheme nor the EllipticOperator used in the scheme make any assumptions on the ellipticity except for the solvers which are used inside. But even here in principle the EllipticOperator has the possibility to flag that it is indefinite.

This scheme provides the necessary modules

ESTIMATE - MARK - ADAPT - SOLVE - DATA I/O

which then can be used by an adaptive algorithm for stationary problems, see the exeternal Dune module ellipt-dot-c for an example.

Parameters

[in]	DiscreteFunction	Type of the discrte function for solution and test functions.
[in]	Model	A model satisfying the ModelInterface which describes the operator at a local basis by providing "operator germs", i.e. half of the integrants which constitute the discrete bilinear forms.
[in]	InitialGuess	An initial guess in order to start an iterative solver. This can be used in order to pass an "exact solution" for experimental convergence tests.

Referenced by Dune::ACFem::l2Projection().

ellipticFemScheme() [2/4]

template<class DiscreteFunction , class Model , class InitialGuess , std::enable_if_t< IsWrappableByConstLocalFunction< InitialGuess >::value, int > = 0>

auto Dune::ACFem::ellipticFemScheme	(	DiscreteFunction &	solution,
		const Model &	model,
		const InitialGuess &	initialGuess,
		const std::string	name = "acfem.schemes.elliptic"
	)

Adaptive fem-scheme for "elliptic" problems.

The quotes are due to the fact, that neither the EllipticFemScheme nor the EllipticOperator used in the scheme make any assumptions on the ellipticity except for the solvers which are used inside. But even here in principle the EllipticOperator has the possibility to flag that it is indefinite.

This scheme provides the necessary modules

ESTIMATE - MARK - ADAPT - SOLVE - DATA I/O

which then can be used by an adaptive algorithm for stationary problems, see the exeternal Dune module ellipt-dot-c for an example.

Parameters

[in]	DiscreteFunction	Type of the discrte function for solution and test functions.
[in]	Model	A model satisfying the ModelInterface which describes the operator at a local basis by providing "operator germs", i.e. half of the integrants which constitute the discrete bilinear forms.
[in]	InitialGuess	An initial guess in order to start an iterative solver. This can be used in order to pass an "exact solution" for experimental convergence tests.

ellipticFemScheme() [3/4]

template<class DiscreteFunction , class Model , class RHSFunctional , std::enable_if_t< IsLinearFunctional< RHSFunctional >::value, int > = 0>

auto Dune::ACFem::ellipticFemScheme	(	DiscreteFunction &	solution,
		const Model &	model,
		const RHSFunctional &	rhsFunctional,
		const std::string	name = "acfem.schemes.elliptic"
	)

Adaptive fem-scheme for "elliptic" problems.

The quotes are due to the fact, that neither the EllipticFemScheme nor the EllipticOperator used in the scheme make any assumptions on the ellipticity except for the solvers which are used inside. But even here in principle the EllipticOperator has the possibility to flag that it is indefinite.

This scheme provides the necessary modules

ESTIMATE - MARK - ADAPT - SOLVE - DATA I/O

which then can be used by an adaptive algorithm for stationary problems, see the exeternal Dune module ellipt-dot-c for an example.

Parameters

[in]	DiscreteFunction	Type of the discrte function for solution and test functions.
[in]	Model	A model satisfying the ModelInterface which describes the operator at a local basis by providing "operator germs", i.e. half of the integrants which constitute the discrete bilinear forms.
[in]	InitialGuess	An initial guess in order to start an iterative solver. This can be used in order to pass an "exact solution" for experimental convergence tests.

ellipticFemScheme() [4/4]

template<class DiscreteFunction , class Model >

auto Dune::ACFem::ellipticFemScheme	(	DiscreteFunction &	solution,
		const Model &	model,
		const std::string	name = "acfem.schemes.elliptic"
	)

Adaptive fem-scheme for "elliptic" problems.

The quotes are due to the fact, that neither the EllipticFemScheme nor the EllipticOperator used in the scheme make any assumptions on the ellipticity except for the solvers which are used inside. But even here in principle the EllipticOperator has the possibility to flag that it is indefinite.

This scheme provides the necessary modules

ESTIMATE - MARK - ADAPT - SOLVE - DATA I/O

which then can be used by an adaptive algorithm for stationary problems, see the exeternal Dune module ellipt-dot-c for an example.

Parameters

[in]	DiscreteFunction	Type of the discrte function for solution and test functions.
[in]	Model	A model satisfying the ModelInterface which describes the operator at a local basis by providing "operator germs", i.e. half of the integrants which constitute the discrete bilinear forms.
[in]	InitialGuess	An initial guess in order to start an iterative solver. This can be used in order to pass an "exact solution" for experimental convergence tests.

parabolicFemScheme() [1/4]

template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , template< class > class QuadratureTraits>

auto Dune::ACFem::parabolicFemScheme	(	DiscreteFunction &	solution,
		const TimeProvider &	timeProvider,
		const ImplicitModel &	implicitModel,
		const ExplicitModel &	explicitModel,
		const InitialValue &	initialValue,
		const QuadratureTraits< typename DiscreteFunction::DiscreteFunctionSpaceType::GridPartType > &	quadTraits,
		const std::string &	name = "acfem.schemes.parabolic"
	)

Basic parabolic fem-scheme class.

Parameters

[in]	DiscreteFunction	The type of the discrete solution.
[in]	TimeProvider	The type of the Dune::Fem::TimeProvider.
[in]	ImplicitModel	The type of the implicit model.
[in]	ExplicitModel	The type of the explicit model.
[in]	InitialValue	The type of the initial value. Additionally, this can also be the exact solution in order to perform experimental convergence tests. ParabolicFemScheme::error() will compute the distance to this function; it will also be dumped to the VTK-files for visualization.
[in]	QuadratureTraits	Special quadrature rules, for instance to implement mass-lumping. Defaults to DefaultQuadratureTraits. The template argument of the template template-parameter is the GridPartType.

parabolicFemScheme() [2/4]

template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , class RHSFunctional , template< class > class QuadratureTraits>

std::enable_if_t<IsLinearFunctional<RHSFunctional>::value, ParabolicFemScheme<DiscreteFunction, TimeProvider, ImplicitModel, ExplicitModel, InitialValue, RHSFunctional, QuadratureTraits> > Dune::ACFem::parabolicFemScheme	(	DiscreteFunction &	solution,
		const TimeProvider &	timeProvider,
		const ImplicitModel &	implicitModel,
		const ExplicitModel &	explicitModel,
		const InitialValue &	initialValue,
		const RHSFunctional &	rhsFunctional,
		const QuadratureTraits< typename DiscreteFunction::DiscreteFunctionSpaceType::GridPartType > &	quadTraits,
		const std::string &	name = "acfem.schemes.parabolic"
	)

Basic parabolic fem-scheme class.

Parameters

[in]	DiscreteFunction	The type of the discrete solution.
[in]	TimeProvider	The type of the Dune::Fem::TimeProvider.
[in]	ImplicitModel	The type of the implicit model.
[in]	ExplicitModel	The type of the explicit model.
[in]	InitialValue	The type of the initial value. Additionally, this can also be the exact solution in order to perform experimental convergence tests. ParabolicFemScheme::error() will compute the distance to this function; it will also be dumped to the VTK-files for visualization.
[in]	QuadratureTraits	Special quadrature rules, for instance to implement mass-lumping. Defaults to DefaultQuadratureTraits. The template argument of the template template-parameter is the GridPartType.

parabolicFemScheme() [3/4]

template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue , class RHSFunctional >

std::enable_if_t<IsLinearFunctional<RHSFunctional>::value, ParabolicFemScheme<DiscreteFunction, TimeProvider, ImplicitModel, ExplicitModel, InitialValue, RHSFunctional, DefaultQuadratureTraits> > Dune::ACFem::parabolicFemScheme	(	DiscreteFunction &	solution,
		const TimeProvider &	timeProvider,
		const ImplicitModel &	implicitModel,
		const ExplicitModel &	explicitModel,
		const InitialValue &	initialValue,
		const RHSFunctional &	rhsFunctional,
		const std::string &	name = "acfem.schemes.parabolic"
	)

Basic parabolic fem-scheme class.

Parameters

[in]	DiscreteFunction	The type of the discrete solution.
[in]	TimeProvider	The type of the Dune::Fem::TimeProvider.
[in]	ImplicitModel	The type of the implicit model.
[in]	ExplicitModel	The type of the explicit model.
[in]	InitialValue	The type of the initial value. Additionally, this can also be the exact solution in order to perform experimental convergence tests. ParabolicFemScheme::error() will compute the distance to this function; it will also be dumped to the VTK-files for visualization.
[in]	QuadratureTraits	Special quadrature rules, for instance to implement mass-lumping. Defaults to DefaultQuadratureTraits. The template argument of the template template-parameter is the GridPartType.

parabolicFemScheme() [4/4]

template<class DiscreteFunction , class TimeProvider , class ImplicitModel , class ExplicitModel , class InitialValue >

auto Dune::ACFem::parabolicFemScheme	(	DiscreteFunction &	solution,
		const TimeProvider &	timeProvider,
		const ImplicitModel &	implicitModel,
		const ExplicitModel &	explicitModel,
		const InitialValue &	initialValue,
		const std::string &	name = "acfem.schemes.parabolic"
	)

Basic parabolic fem-scheme class.

Parameters

[in]	DiscreteFunction	The type of the discrete solution.
[in]	TimeProvider	The type of the Dune::Fem::TimeProvider.
[in]	ImplicitModel	The type of the implicit model.
[in]	ExplicitModel	The type of the explicit model.
[in]	InitialValue	The type of the initial value. Additionally, this can also be the exact solution in order to perform experimental convergence tests. ParabolicFemScheme::error() will compute the distance to this function; it will also be dumped to the VTK-files for visualization.
[in]	QuadratureTraits	Special quadrature rules, for instance to implement mass-lumping. Defaults to DefaultQuadratureTraits. The template argument of the template template-parameter is the GridPartType.