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 >:

Public Types
typedef LocalFiniteElementTraits< typename OrthonormalBasisFactory< dimDomain, SF, CF >::Object, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >::Object, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true >::Object >	Traits
typedef GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >	This
typedef OrthonormalBasisFactory< dimDomain, R, R >::Key	Key
typedef OrthonormalBasisFactory< dimDomain, R, R >	BasisFactory
typedef DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >	CoefficientFactory
typedef LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true >	InterpolationFactory

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

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

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

Member Typedef Documentation

BasisFactory

typedef OrthonormalBasisFactory< dimDomain, R, R > Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::BasisFactory

inherited

CoefficientFactory

typedef DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::CoefficientFactory

inherited

InterpolationFactory

typedef LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::InterpolationFactory

inherited

Key

typedef OrthonormalBasisFactory< dimDomain, R, R >::Key Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::Key

inherited

This

typedef GenericLocalFiniteElement<OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true >> Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::This

inherited

Traits

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

typedef LocalFiniteElementTraits< typename OrthonormalBasisFactory< dimDomain, SF, CF >::Object, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >::Object, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true >::Object > Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, SF, CF >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > >::Traits

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 !

size()

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

inlineinherited

Number of shape functions in this finite element.

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 !

Member Data Documentation

dimDomain

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

staticinherited

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

• orthonormal.hh