dune-localfunctions  2.4.1-rc2
Public Types | Public Member Functions | Static Public Attributes | List of all members
Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF > Class Template Reference

A class providing orthonormal basis functions. More...

#include <dune/localfunctions/orthonormal.hh>

Inheritance diagram for Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >:
Inheritance graph

Public Types

typedef LocalFiniteElementTraits< typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > Traits
 
typedef GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, SF, CF >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > > This
 
typedef OrthonormalBasisFactory< dimDomain, SF, CF >::Key Key
 
typedef OrthonormalBasisFactory< dimDomain, SF, CF > BasisFactory
 
typedef DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > > CoefficientFactory
 
typedef LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > InterpolationFactory
 

Public Member Functions

 OrthonormalLocalFiniteElement (const GeometryType &gt, unsigned int order)
 
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
 
unsigned int topologyId () const
 

Static Public Attributes

static const unsigned int dimDomain
 

Detailed Description

template<unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
class Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >

A class providing orthonormal basis functions.

These basis functions are constructed by l2 orthonormalizing of monomials over a reference element. Thus the span is always Pk. The coefficients and the interpolation are given by the Dune::DGLocalCoefficientsFactory and the Dune::LocalL2InterpolationFactory.

Template Parameters
dimDomaindimension of reference elements
Ddomain for basis functions
Rrange for basis functions
SFstorage field for basis matrix
CFcompute field for basis matrix

Member Typedef Documentation

template<unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>
typedef LocalFiniteElementTraits< typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Traits

Constructor & Destructor Documentation

template<unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>
Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >::OrthonormalLocalFiniteElement ( const GeometryType &  gt,
unsigned int  order 
)
inline
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Member Function Documentation

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Number of shape functions in this finite element.

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Member Data Documentation

const unsigned int Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, SF, CF > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > >::dimDomain
staticinherited

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