Dune::DualQ1LocalFiniteElement< D, R, dim, faceDual > Class Template Reference

The local dual Q1 finite element on cubes. More...

#include <dune/localfunctions/dualmortarbasis/dualq1.hh>

Public Types
typedef LocalFiniteElementTraits< DualQ1LocalBasis< D, R, dim >, DualQ1LocalCoefficients< dim >, DualQ1LocalInterpolation< dim, DualQ1LocalBasis< D, R, dim > > >	Traits

Public Member Functions
	DualQ1LocalFiniteElement ()
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::DualQ1LocalFiniteElement< D, R, dim, faceDual >

The local dual Q1 finite element on cubes.

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 hypercube
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<DualQ1LocalBasis<D,R,dim>,DualQ1LocalCoefficients<dim>, DualQ1LocalInterpolation<dim,DualQ1LocalBasis<D,R,dim> > > Dune::DualQ1LocalFiniteElement< D, R, dim, faceDual >::Traits

Todo:

Please doc me !

Constructor & Destructor Documentation

DualQ1LocalFiniteElement()

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

Dune::DualQ1LocalFiniteElement< D, R, dim, faceDual >::DualQ1LocalFiniteElement ( )

inline

Todo:

Please doc me !

Member Function Documentation

localBasis()

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

const Traits::LocalBasisType & Dune::DualQ1LocalFiniteElement< 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::DualQ1LocalFiniteElement< 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::DualQ1LocalFiniteElement< 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::DualQ1LocalFiniteElement< D, R, dim, faceDual >::type ( )

inlinestaticconstexpr

Todo:

Please doc me !

References Dune::GeometryTypes::cube().

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

• dune/localfunctions/dualmortarbasis/dualq1.hh