Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k > Class Template Reference

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

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

Inheritance diagram for Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >:

Public Types
using	Traits = LocalFiniteElementTraits< Impl::LagrangeCubeLocalBasis< D, R, dim, k >, Impl::LagrangeCubeLocalCoefficients< dim, k >, Impl::LagrangeCubeLocalInterpolation< Impl::LagrangeCubeLocalBasis< D, R, dim, k > > >
	Export number types, dimensions, etc.

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

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

Detailed Description

template<class D, class R, int dim, int k>
class Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >

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

Template Parameters

D	Type used for domain coordinates
R	Type used for function values
dim	dimension of the reference element
k	Polynomial order in one coordinate direction

Member Typedef Documentation

Traits

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

using Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >::Traits = LocalFiniteElementTraits<Impl::LagrangeCubeLocalBasis<D,R,dim,k>, Impl::LagrangeCubeLocalCoefficients<dim,k>, Impl::LagrangeCubeLocalInterpolation<Impl::LagrangeCubeLocalBasis<D,R,dim,k> > >

Export number types, dimensions, etc.

Member Function Documentation

localBasis()

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

const Traits::LocalBasisType & Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >::localBasis ( ) const

inline

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

localCoefficients()

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

const Traits::LocalCoefficientsType & Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >::localCoefficients ( ) const

inline

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

localInterpolation()

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

const Traits::LocalInterpolationType & Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >::localInterpolation ( ) const

inline

Returns object that evaluates degrees of freedom.

size()

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

static constexpr std::size_t Dune::LagrangeCubeLocalFiniteElement< D, R, dim, k >::size ( )

inlinestaticconstexpr

The number of shape functions.

type()

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

static constexpr GeometryType Dune::LagrangeCubeLocalFiniteElement< D, R, dim, 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:

• lagrangecube.hh