Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF > Class Template Reference

A class providing orthonormal basis functions. More...

#include <dune/localfunctions/orthonormal.hh>

Public Member Functions
	OrthonormalLocalFiniteElement (const GeometryType &gt, unsigned int order)
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.
GeometryType	type () const
unsigned int	topologyId () const

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

dimDomain	dimension of reference elements
D	domain for basis functions
R	range for basis functions
SF	storage field for basis matrix
CF	compute field for basis matrix

Constructor & Destructor Documentation

OrthonormalLocalFiniteElement()

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

Todo:

Please doc me !

Member Function Documentation

localBasis()

const Traits::LocalBasisType & Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localBasis ( ) const

inlineinherited

Todo:

Please doc me !

localCoefficients()

const Traits::LocalCoefficientsType & Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localCoefficients ( ) const

inlineinherited

Todo:

Please doc me !

localInterpolation()

const Traits::LocalInterpolationType & Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localInterpolation ( ) const

inlineinherited

Todo:

Please doc me !

topologyId()

unsigned int Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::topologyId ( ) const

inlineinherited

Todo:

Please doc me !

type()

GeometryType Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::type ( ) const

inlineinherited

Todo:

Please doc me !

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

• dune/localfunctions/orthonormal.hh