Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k > Class Template Reference

Lagrange finite element for simplices with arbitrary compile-time dimension and polynomial order. More...

#include <dune/localfunctions/lagrange/lagrangesimplex.hh>

Public Types
using	Traits = LocalFiniteElementTraits< Impl::LagrangeSimplexLocalBasis< D, R, d, k >, Impl::LagrangeSimplexLocalCoefficients< d, k >, Impl::LagrangeSimplexLocalInterpolation< Impl::LagrangeSimplexLocalBasis< D, R, d, k > > >
	Export number types, dimensions, etc. More...

Public Member Functions
	LagrangeSimplexLocalFiniteElement ()
template<typename VertexMap >
	LagrangeSimplexLocalFiniteElement (const VertexMap &vertexmap)
const Traits::LocalBasisType &	localBasis () const
	Returns the local basis, i.e., the set of shape functions. More...
const Traits::LocalCoefficientsType &	localCoefficients () const
	Returns the assignment of the degrees of freedom to the element subentities. More...
const Traits::LocalInterpolationType &	localInterpolation () const
	Returns object that evaluates degrees of freedom. More...

Static Public Member Functions
static constexpr std::size_t	size ()
	The number of shape functions. More...
static constexpr GeometryType	type ()
	The reference element that the local finite element is defined on. More...

Detailed Description

template<class D, class R, int d, int k>
class Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >

Lagrange finite element for simplices with arbitrary compile-time dimension and polynomial order.

Template Parameters

D	type used for domain coordinates
R	type used for function values
d	dimension of the reference element
k	polynomial order

Member Typedef Documentation

Traits

template<class D , class R , int d, int k>

using Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::Traits = LocalFiniteElementTraits<Impl::LagrangeSimplexLocalBasis<D,R,d,k>, Impl::LagrangeSimplexLocalCoefficients<d,k>, Impl::LagrangeSimplexLocalInterpolation<Impl::LagrangeSimplexLocalBasis<D,R,d,k> > >

Export number types, dimensions, etc.

Constructor & Destructor Documentation

LagrangeSimplexLocalFiniteElement() [1/2]

template<class D , class R , int d, int k>

Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::LagrangeSimplexLocalFiniteElement ( )

inline

Default-construct the finite element

LagrangeSimplexLocalFiniteElement() [2/2]

template<class D , class R , int d, int k>

template<typename VertexMap >

Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::LagrangeSimplexLocalFiniteElement ( const VertexMap &  vertexmap )

inline

Constructs a finite element given a vertex reordering

This version is deprecated - use the std::array variant instead.

Member Function Documentation

localBasis()

template<class D , class R , int d, int k>

const Traits::LocalBasisType& Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localBasis ( ) const

inline

Returns the local basis, i.e., the set of shape functions.

localCoefficients()

template<class D , class R , int d, int k>

const Traits::LocalCoefficientsType& Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localCoefficients ( ) const

inline

Returns the assignment of the degrees of freedom to the element subentities.

localInterpolation()

template<class D , class R , int d, int k>

const Traits::LocalInterpolationType& Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localInterpolation ( ) const

inline

Returns object that evaluates degrees of freedom.

size()

template<class D , class R , int d, int k>

static constexpr std::size_t Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::size ( )

inlinestaticconstexpr

The number of shape functions.

type()

template<class D , class R , int d, int k>

static constexpr GeometryType Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::type ( )

inlinestaticconstexpr

The reference element that the local finite element is defined on.

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

• lagrangesimplex.hh