Dune::DualP1LocalFiniteElement< D, R, dim, faceDual > Class Template Reference

The local dual p1 finite element on simplices. More...

#include <dune/localfunctions/dualmortarbasis/dualp1.hh>

Public Types
typedef LocalFiniteElementTraits< DualP1LocalBasis< D, R, dim, faceDual >, DualP1LocalCoefficients< dim >, DualP1LocalInterpolation< dim, DualP1LocalBasis< D, R, dim, faceDual > > >	Traits

Public Member Functions
	DualP1LocalFiniteElement ()
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, int dim, bool faceDual = false>
class Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >

The local dual p1 finite element on simplices.

Note that if the dual functions are chosen to be dual on the faces, the integrated product of a Lagrange \(\lambda_p\) and dual function \(\theta_q\) over faces not containing \(q\) does in general not vanish.

Template Parameters

D	Domain data type
R	Range data type
dim	Dimension of the simplex
faceDual	If set, the basis functions are bi-orthogonal only on faces containing the corresponding vertex.

Member Typedef Documentation

Traits

template<class D , class R , int dim, bool faceDual = false>

typedef LocalFiniteElementTraits<DualP1LocalBasis<D,R,dim,faceDual>,DualP1LocalCoefficients<dim>, DualP1LocalInterpolation<dim,DualP1LocalBasis<D,R,dim,faceDual> > > Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::Traits

Todo:

Please doc me !

Constructor & Destructor Documentation

DualP1LocalFiniteElement()

template<class D , class R , int dim, bool faceDual = false>

Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::DualP1LocalFiniteElement ( )

inline

Todo:

Please doc me !

Member Function Documentation

localBasis()

template<class D , class R , int dim, bool faceDual = false>

const Traits::LocalBasisType & Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::localBasis ( ) const

inline

Todo:

Please doc me !

localCoefficients()

template<class D , class R , int dim, bool faceDual = false>

const Traits::LocalCoefficientsType & Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::localCoefficients ( ) const

inline

Todo:

Please doc me !

localInterpolation()

template<class D , class R , int dim, bool faceDual = false>

const Traits::LocalInterpolationType & Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::localInterpolation ( ) const

inline

Todo:

Please doc me !

type()

template<class D , class R , int dim, bool faceDual = false>

static constexpr GeometryType Dune::DualP1LocalFiniteElement< D, R, dim, faceDual >::type ( )

inlinestaticconstexpr

Todo:

Please doc me !

References Dune::GeometryTypes::simplex().

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

• dune/localfunctions/dualmortarbasis/dualp1.hh