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 SF	StorageField
typedef CF	ComputeField
typedef PreBFactory	PreBasisFactory
typedef PreBasisFactory::Object	PreBasis
typedef InterpolFactory	InterpolationFactory
typedef InterpolationFactory::Object	Interpolation
typedef PreBasisFactory::template EvaluationBasisFactory< dim, SF >::Type	MonomialBasisFactory
typedef MonomialBasisFactory::Object	MonomialBasis
typedef StandardEvaluator< MonomialBasis >	Evaluator
typedef PolynomialBasisWithMatrix< Evaluator, SparseCoeffMatrix< SF, dimRange >, D, R >	Basis
typedef const Basis	Object
typedef InterpolationFactory::Key	Key

Static Public Member Functions
template<GeometryType::Id geometryId>
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 = dim
static const unsigned int	dimRange = dimR

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

\[ A_{i,j} := N_j(\phi_i) \]

with linear functionals \(N_j\) and basisfunctions \(\phi_i\) 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

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef PolynomialBasisWithMatrix< Evaluator, SparseCoeffMatrix< SF, dimRange >, D, R > Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Basis

inherited

ComputeField

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef CF Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::ComputeField

inherited

Domain

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef D Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Domain

inherited

Evaluator

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef StandardEvaluator< MonomialBasis > Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Evaluator

inherited

Interpolation

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef InterpolationFactory::Object Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Interpolation

inherited

InterpolationFactory

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef InterpolFactory Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::InterpolationFactory

inherited

Key

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef InterpolationFactory::Key Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Key

inherited

MonomialBasis

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef MonomialBasisFactory::Object Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::MonomialBasis

inherited

MonomialBasisFactory

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef PreBasisFactory::template EvaluationBasisFactory<dim,SF>::Type Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::MonomialBasisFactory

inherited

Object

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef const Basis Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Object

inherited

PreBasis

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef PreBasisFactory::Object Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::PreBasis

inherited

PreBasisFactory

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef PreBFactory Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::PreBasisFactory

inherited

Range

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef R Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::Range

inherited

StorageField

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

typedef SF Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::StorageField

inherited

Member Function Documentation

create()

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

template<GeometryType::Id geometryId>

static Object * Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::create ( const Key &  key )

inlinestaticinherited

release()

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

static void Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::release ( Object *  object )

inlinestaticinherited

release the object returned by the create methods

Member Data Documentation

dimension

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

const unsigned int Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::dimension = dim

staticinherited

dimRange

template<class PreBFactory , class InterpolFactory , unsigned int dim, unsigned int dimR, class D , class R , class SF , class CF , class PreBasisKeyExtractor = Identity>

const unsigned int Dune::DefaultBasisFactory< PreBFactory, InterpolFactory, dim, dimR, D, R, SF, CF, PreBasisKeyExtractor >::dimRange = dimR

staticinherited

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

• raviartthomassimplexbasis.hh