Dune::RaviartThomasBasisFactory< dim, D, R, SF, CF > Struct Template Reference

#include <dune/localfunctions/raviartthomas/raviartthomassimplex/raviartthomassimplexbasis.hh>

Inheritance diagram for Dune::RaviartThomasBasisFactory< dim, D, R, SF, CF >:

Public Types
typedef D	Domain
typedef R	Range
typedef R	StorageField
typedef R	ComputeField
typedef RTPreBasisFactory< dim, R >	PreBasisFactory
typedef PreBasisFactory::Object	PreBasis
typedef RaviartThomasL2InterpolationFactory< dim, R >	InterpolationFactory
typedef InterpolationFactory::Object	Interpolation
typedef PreBasisFactory::template EvaluationBasisFactory< dim, R >::Type	MonomialBasisFactory
typedef MonomialBasisFactory::Object	MonomialBasis
typedef StandardEvaluator< MonomialBasis >	Evaluator
typedef PolynomialBasisWithMatrix< Evaluator, SparseCoeffMatrix< R, dimRange >, D, R >	Basis
typedef const Basis	Object
typedef InterpolationFactory::Key	Key

Static Public Member Functions
static Object *	create (const Key &key)
static void	release (Object *object)
	release the object returned by the create methods

Static Public Attributes
static const unsigned int	dimension
static const unsigned int	dimRange

Detailed Description

template<unsigned int dim, class D, class R, class SF = R, class CF = SF>
struct Dune::RaviartThomasBasisFactory< dim, D, R, SF, CF >

RTPreBasisFactory provides a basis for the Raviart-Thomas function space. RaviartThomasL2InterpolationFactory provides the linear functionals.

Defaultbasisfactory::create first builds the function space and the linear functionals. Then the constructor of BasisMatrix gets called. There the matrix

with linear functionals and basisfunctions gets assembled. Then the matrix gets inverted and is then used as a coefficient matrix for the standard monomial basis.

For more details on the theory see the first chapter "Construction of Local Finite Element Spaces Using the Generic Reference Elements" of the book "Advances in Dune" by Dedner, Flemisch and Klöfkorn published in 2012.

Member Typedef Documentation

Basis

typedef PolynomialBasisWithMatrix< Evaluator, SparseCoeffMatrix< R, dimRange >, D, R > Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Basis

inherited

ComputeField

typedef R Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::ComputeField

inherited

Domain

typedef D Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Domain

inherited

Evaluator

typedef StandardEvaluator< MonomialBasis > Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Evaluator

inherited

Interpolation

typedef InterpolationFactory::Object Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Interpolation

inherited

InterpolationFactory

typedef RaviartThomasL2InterpolationFactory< dim, R > Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::InterpolationFactory

inherited

Key

typedef InterpolationFactory::Key Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Key

inherited

MonomialBasis

typedef MonomialBasisFactory::Object Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::MonomialBasis

inherited

MonomialBasisFactory

typedef PreBasisFactory::template EvaluationBasisFactory<dim,R>::Type Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::MonomialBasisFactory

inherited

Object

typedef const Basis Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Object

inherited

PreBasis

typedef PreBasisFactory::Object Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::PreBasis

inherited

PreBasisFactory

typedef RTPreBasisFactory< dim, R > Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::PreBasisFactory

inherited

Range

typedef R Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::Range

inherited

StorageField

typedef R Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::StorageField

inherited

Member Function Documentation

create()

Object * Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::create ( const Key & key )

inlinestaticinherited

release()

void Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::release ( Object * object )

inlinestaticinherited

release the object returned by the create methods

Member Data Documentation

dimension

const unsigned int Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::dimension

staticinherited

dimRange

const unsigned int Dune::DefaultBasisFactory< RTPreBasisFactory< dim, R >, RaviartThomasL2InterpolationFactory< dim, R >, dim, dimR, D, R, R, R, Identity >::dimRange

staticinherited

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

• raviartthomassimplexbasis.hh