Dune Core Modules (unstable)

Dune::MonomialLocalFiniteElement< D, R, d, p > Class Template Reference

Monomial basis for discontinuous Galerkin methods. More...

#include <dune/localfunctions/monomial.hh>

Public Types

typedef LocalFiniteElementTraits< MonomialLocalBasis< D, R, d, p >, MonomialLocalCoefficients< static_size >, MonomialLocalInterpolation< MonomialLocalBasis< D, R, d, p >, static_size > > Traits
 

Public Member Functions

 MonomialLocalFiniteElement (const GeometryType &gt_)
 Construct a MonomLocalFiniteElement.
 
const Traits::LocalBasisTypelocalBasis () const
 
const Traits::LocalCoefficientsTypelocalCoefficients () const
 
const Traits::LocalInterpolationTypelocalInterpolation () const
 
unsigned int size () const
 Number of shape functions in this finite element.
 
GeometryType type () const
 

Detailed Description

template<class D, class R, int d, int p>
class Dune::MonomialLocalFiniteElement< D, R, d, p >

Monomial basis for discontinuous Galerkin methods.

Be careful: Although MonomialLocalInterpolation::interpolate uses an L^2 projection it is unstable for higher polynomial degrees.

Template Parameters
DType used for coordinates
RType used for shape function values
dDimension of the element
pOrder of the basis

Member Typedef Documentation

◆ Traits

template<class D , class R , int d, int p>
typedef LocalFiniteElementTraits< MonomialLocalBasis<D,R,d,p>, MonomialLocalCoefficients<static_size>, MonomialLocalInterpolation<MonomialLocalBasis<D,R,d,p>,static_size> > Dune::MonomialLocalFiniteElement< D, R, d, p >::Traits

Traits class

Member Function Documentation

◆ localBasis()

template<class D , class R , int d, int p>
const Traits::LocalBasisType & Dune::MonomialLocalFiniteElement< D, R, d, p >::localBasis ( ) const
inline
Todo:
Please doc me !

◆ localCoefficients()

template<class D , class R , int d, int p>
const Traits::LocalCoefficientsType & Dune::MonomialLocalFiniteElement< D, R, d, p >::localCoefficients ( ) const
inline
Todo:
Please doc me !

◆ localInterpolation()

template<class D , class R , int d, int p>
const Traits::LocalInterpolationType & Dune::MonomialLocalFiniteElement< D, R, d, p >::localInterpolation ( ) const
inline
Todo:
Please doc me !

◆ type()

template<class D , class R , int d, int p>
GeometryType Dune::MonomialLocalFiniteElement< D, R, d, p >::type ( ) const
inline
Todo:
Please doc me !

The documentation for this class was generated from the following file:
Creative Commons License   |  Legal Statements / Impressum  |  Hosted by TU Dresden  |  generated with Hugo v0.111.3 (Nov 20, 23:30, 2024)