Dune Core Modules (2.9.0)

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::LocalBasisTypelocalBasis () const
 
const Traits::LocalCoefficientsTypelocalCoefficients () const
 
const Traits::LocalInterpolationTypelocalInterpolation () 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
DDomain data type
RRange data type
dimDimension of the simplex
faceDualIf 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().


The documentation for this class was generated from the following file:
  • dune/localfunctions/dualmortarbasis/dualp1.hh
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