Dune::RT0PyramidLocalFiniteElement< D, R > Class Template Reference

First order Raviart-Thomas shape functions on pyramids. More...

#include <dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh>

Public Types
typedef LocalFiniteElementTraits< RT0PyramidLocalBasis< D, R >, RT0PyramidLocalCoefficients, RT0PyramidLocalInterpolation< RT0PyramidLocalBasis< D, R > > >	Traits

Public Member Functions
	RT0PyramidLocalFiniteElement ()
	Standard constructor.
	RT0PyramidLocalFiniteElement (int s)
	Make set number s, where 0 <= s < 32.
const Traits::LocalBasisType &	localBasis () const
const Traits::LocalCoefficientsType &	localCoefficients () const
const Traits::LocalInterpolationType &	localInterpolation () const
unsigned int	size () const
	Number of shape functions in this finite element.

Static Public Member Functions
static constexpr GeometryType	type ()

Detailed Description

template<class D, class R>
class Dune::RT0PyramidLocalFiniteElement< D, R >

First order Raviart-Thomas shape functions on pyramids.

This implements the composite element proposed by Ainsworth/Fu in "A lowest-order composite finite element exact sequence on pyramids" Computer Methods in Applied Mechanics and Engineering, Volume 324, 1 September 2017, Pages 110-127. https://arxiv.org/abs/1705.00064

Notice that this is a composite element with a discontinuity across the plane with x[0]==x[1]. It contains on DOF per face and one internal DOF located at the center of the intersections of the two sub-elements.

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.

Member Typedef Documentation

Traits

template<class D , class R >

typedef LocalFiniteElementTraits< RT0PyramidLocalBasis<D,R>, RT0PyramidLocalCoefficients, RT0PyramidLocalInterpolation<RT0PyramidLocalBasis<D,R> > > Dune::RT0PyramidLocalFiniteElement< D, R >::Traits

Constructor & Destructor Documentation

RT0PyramidLocalFiniteElement() [1/2]

template<class D , class R >

Dune::RT0PyramidLocalFiniteElement< D, R >::RT0PyramidLocalFiniteElement ( )

inline

Standard constructor.

RT0PyramidLocalFiniteElement() [2/2]

template<class D , class R >

Dune::RT0PyramidLocalFiniteElement< D, R >::RT0PyramidLocalFiniteElement ( int  s )

inline

Make set number s, where 0 <= s < 32.

Parameters

s	Face orientation indicator

Member Function Documentation

localBasis()

template<class D , class R >

const Traits::LocalBasisType & Dune::RT0PyramidLocalFiniteElement< D, R >::localBasis ( ) const

inline

localCoefficients()

template<class D , class R >

const Traits::LocalCoefficientsType & Dune::RT0PyramidLocalFiniteElement< D, R >::localCoefficients ( ) const

inline

localInterpolation()

template<class D , class R >

const Traits::LocalInterpolationType & Dune::RT0PyramidLocalFiniteElement< D, R >::localInterpolation ( ) const

inline

size()

template<class D , class R >

unsigned int Dune::RT0PyramidLocalFiniteElement< D, R >::size ( ) const

inline

Number of shape functions in this finite element.

type()

template<class D , class R >

static constexpr GeometryType Dune::RT0PyramidLocalFiniteElement< D, R >::type ( )

inlinestaticconstexpr

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

• raviartthomas0pyramid.hh