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 BasisF::Object, typename CoeffF::Object, typename InterpolF::Object >	Traits
typedef GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >	This
typedef BasisF::Key	Key
typedef BasisF	BasisFactory
typedef CoeffF	CoefficientFactory
typedef InterpolF	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 = BasisF::dimension

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

template<class BasisF , class CoeffF , class InterpolF >

typedef BasisF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::BasisFactory

inherited

CoefficientFactory

template<class BasisF , class CoeffF , class InterpolF >

typedef CoeffF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::CoefficientFactory

inherited

InterpolationFactory

template<class BasisF , class CoeffF , class InterpolF >

typedef InterpolF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::InterpolationFactory

inherited

Key

template<class BasisF , class CoeffF , class InterpolF >

typedef BasisF::Key Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Key

inherited

This

template<class BasisF , class CoeffF , class InterpolF >

typedef GenericLocalFiniteElement<BasisF, CoeffF, InterpolF> Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::This

inherited

Traits

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

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()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalBasisType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localBasis ( ) const

inlineinherited

Todo:

Please doc me !

localCoefficients()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalCoefficientsType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localCoefficients ( ) const

inlineinherited

Todo:

Please doc me !

localInterpolation()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalInterpolationType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localInterpolation ( ) const

inlineinherited

Todo:

Please doc me !

size()

template<class BasisF , class CoeffF , class InterpolF >

unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::size ( ) const

inlineinherited

Number of shape functions in this finite element.

type()

template<class BasisF , class CoeffF , class InterpolF >

GeometryType Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::type ( ) const

inlineinherited

Todo:

Please doc me !

Member Data Documentation

dimDomain

template<class BasisF , class CoeffF , class InterpolF >

const unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::dimDomain = BasisF::dimension

staticinherited

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

• orthonormal.hh