Dune::BDFMCubeLocalFiniteElement< D, R, dim, order > Class Template Reference

Brezzi-Douglas-Fortin-Marini finite elements for cubes. More...

#include <dune/localfunctions/brezzidouglasfortinmarini/bdfmcube.hh>

Public Types
using	Traits = LocalFiniteElementTraits< LocalBasis, LocalCoefficients, LocalInterpolation >

Public Member Functions
	BDFMCubeLocalFiniteElement ()
	Standard constructor. More...
	BDFMCubeLocalFiniteElement (std::bitset< 2 *dim > s)
	Make set number s, where 0 <= s < 2^(2*dim) More...
auto	localBasis () const -> const LocalBasis &
auto	localCoefficients () const -> const LocalCoefficients &
auto	localInterpolation () const -> const LocalInterpolation &
unsigned int	size () const
	Number of shape functions in this finite element. More...

Static Public Member Functions
static constexpr auto	type () -> GeometryType

Detailed Description

template<class D, class R, unsigned int dim, unsigned int order>
class Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >

Brezzi-Douglas-Fortin-Marini finite elements for cubes.

Brezzi-Douglas-Fortin-Marini (BDFM) finite elements are reduced Brezzi-Douglas-Marini (BDM) finite elements, where the order of the normal traces is lowered by one.

On a quadrilateral K the BDFM element is given by

The BDFM1 element is identical to the RT0 element.

For further reading see Brezzi, Fortin "Mixed and Hybrid Finite Element Methods" (1991), Chapter III Section 3

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	dimension of the reference elements, must be >= 2.
order	order of the element, must be >= 1.

Member Typedef Documentation

Traits

template<class D , class R , unsigned int dim, unsigned int order>

using Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::Traits = LocalFiniteElementTraits<LocalBasis, LocalCoefficients, LocalInterpolation >

Constructor & Destructor Documentation

BDFMCubeLocalFiniteElement() [1/2]

template<class D , class R , unsigned int dim, unsigned int order>

Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::BDFMCubeLocalFiniteElement ( )

inline

Standard constructor.

BDFMCubeLocalFiniteElement() [2/2]

template<class D , class R , unsigned int dim, unsigned int order>

Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::BDFMCubeLocalFiniteElement ( std::bitset< 2 *dim >  s )

inline

Make set number s, where 0 <= s < 2^(2*dim)

Parameters

s	Edge orientation indicator

Member Function Documentation

localBasis()

template<class D , class R , unsigned int dim, unsigned int order>

auto Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::localBasis ( ) const -> const LocalBasis&

inline

localCoefficients()

template<class D , class R , unsigned int dim, unsigned int order>

auto Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::localCoefficients ( ) const -> const LocalCoefficients&

inline

localInterpolation()

template<class D , class R , unsigned int dim, unsigned int order>

auto Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::localInterpolation ( ) const -> const LocalInterpolation&

inline

size()

template<class D , class R , unsigned int dim, unsigned int order>

unsigned int Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::size ( ) const

inline

Number of shape functions in this finite element.

type()

template<class D , class R , unsigned int dim, unsigned int order>

static constexpr auto Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >::type ( ) -> GeometryType

inlinestaticconstexpr

---

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

• bdfmcube.hh