Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k > Class Template Reference

Nédélec elements of the first kind for cube elements. More...

#include <dune/localfunctions/nedelec/nedelec1stkindcube.hh>

Public Types
using	Traits = LocalFiniteElementTraits< Impl::Nedelec1stKindCubeLocalBasis< D, R, dim, k >, Impl::Nedelec1stKindCubeLocalCoefficients< dim, k >, Impl::Nedelec1stKindCubeLocalInterpolation< Impl::Nedelec1stKindCubeLocalBasis< D, R, dim, k > > >

Public Member Functions
	Nedelec1stKindCubeLocalFiniteElement ()=default
	Default constructor.
	Nedelec1stKindCubeLocalFiniteElement (std::bitset< power(2, dim-1) *dim > s)
	Constructor with explicitly given edge orientations.
const Traits::LocalBasisType &	localBasis () const
const Traits::LocalCoefficientsType &	localCoefficients () const
const Traits::LocalInterpolationType &	localInterpolation () const

Static Public Member Functions
static constexpr unsigned int	size ()
static constexpr GeometryType	type ()

Detailed Description

template<class D, class R, int dim, int k>
class Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >

Nédélec elements of the first kind for cube elements.

These elements have been described in :

J.C. Nédélec, "Mixed finite elements in R^3", Numer.Math., 35(3):315-341,1980. DOI: http://dx.doi.org/10.1007/BF01396415

The order count starts at '1'. This is the counting used, e.g., by Nédélec himself, and by Kirby, Logg, Rognes, Terrel, "Common and unusual finite elements", https://doi.org/10.1007/978-3-642-23099-8_3

Note

These shape functions are implemented for the reference cube only! The transformation to other cubes has to be done by the user.

Template Parameters

D	Number type used for domain coordinates
R	Number type use for shape function values
dim	Dimension of the domain
k	Order of the Nedelec finite element (lowest is 1)

Member Typedef Documentation

Traits

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

using Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::Traits = LocalFiniteElementTraits<Impl::Nedelec1stKindCubeLocalBasis<D,R,dim,k>, Impl::Nedelec1stKindCubeLocalCoefficients<dim,k>, Impl::Nedelec1stKindCubeLocalInterpolation<Impl::Nedelec1stKindCubeLocalBasis<D,R,dim,k> > >

Constructor & Destructor Documentation

Nedelec1stKindCubeLocalFiniteElement() [1/2]

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

Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::Nedelec1stKindCubeLocalFiniteElement ( )

default

Default constructor.

Nedelec1stKindCubeLocalFiniteElement() [2/2]

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

Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::Nedelec1stKindCubeLocalFiniteElement ( std::bitset< power(2, dim-1) *dim >  s )

inline

Constructor with explicitly given edge orientations.

Parameters

s	Edge orientation indicator

Member Function Documentation

localBasis()

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

const Traits::LocalBasisType & Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::localBasis ( ) const

inline

localCoefficients()

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

const Traits::LocalCoefficientsType & Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::localCoefficients ( ) const

inline

localInterpolation()

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

const Traits::LocalInterpolationType & Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::localInterpolation ( ) const

inline

size()

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

static constexpr unsigned int Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::size ( )

inlinestaticconstexpr

type()

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

static constexpr GeometryType Dune::Nedelec1stKindCubeLocalFiniteElement< D, R, dim, k >::type ( )

inlinestaticconstexpr

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

• nedelec1stkindcube.hh