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 < 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 (unsigned int topologyId, unsigned int order)
	OrthonormalLocalFiniteElement (const GeometryType &gt, unsigned int order)
	dune_static_assert ((Conversion< Key, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >::Key >::sameType),"incompatible keys between BasisCreator and CoefficientsCreator")
	dune_static_assert ((Conversion< Key, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true >::Key >::sameType),"incompatible keys between BasisCreator and InterpolationCreator")
const Traits::LocalBasisType &	localBasis () const
const Traits::LocalCoefficientsType &	localCoefficients () const
const Traits::LocalInterpolationType &	localInterpolation () const
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

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

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

inherited

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

inherited

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

inherited

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

inherited

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

inherited

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 ( unsigned int  topologyId, unsigned int  order  )

inline

Todo:

Please doc me !

Deprecated:

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

Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, SF, CF > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > >::dune_static_assert ( (Conversion< Key, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > > ::Key >::sameType)  , "incompatible keys between BasisCreator and CoefficientsCreator"    )

inherited

Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, SF, CF > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > >::dune_static_assert ( (Conversion< Key, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true > ::Key >::sameType)  , "incompatible keys between BasisCreator and InterpolationCreator"    )

inherited

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

inlineinherited

Todo:

Please doc me !

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

inlineinherited

Todo:

Please doc me !

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

inlineinherited

Todo:

Please doc me !

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

inlineinherited

Todo:

Please doc me !

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

inlineinherited

Todo:

Please doc me !

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

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

• orthonormal.hh