dune-localfunctions  2.5.0
Public Types | Public Member Functions | List of all members
Dune::MonomialLocalFiniteElement< D, R, d, p, diffOrder > Class Template Reference

Monomial basis for discontinuous Galerkin methods. More...

#include <dune/localfunctions/monomial.hh>

Public Types

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

Public Member Functions

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

Detailed Description

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

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
diffOrderMaximum differentiation order to report in the traits.

Member Typedef Documentation

§ Traits

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

Traits class

Constructor & Destructor Documentation

§ MonomialLocalFiniteElement()

template<class D , class R , int d, int p, int diffOrder = p>
Dune::MonomialLocalFiniteElement< D, R, d, p, diffOrder >::MonomialLocalFiniteElement ( const GeometryType &  gt_)
inline

Construct a MonomLocalFiniteElement.

Member Function Documentation

§ localBasis()

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

§ localCoefficients()

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

§ localInterpolation()

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

§ size()

template<class D , class R , int d, int p, int diffOrder = p>
unsigned int Dune::MonomialLocalFiniteElement< D, R, d, p, diffOrder >::size ( ) const
inline

Number of shape functions in this finite element.

§ type()

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

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