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 >:

List of all members.

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

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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

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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

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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 [inline, inherited]

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 [inline, inherited]

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 [inline, inherited]

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 [inline, inherited]

Todo:

Please doc me !

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

(

)

const [inline, inherited]

Todo:

Please doc me !

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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 [static, inherited]

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

• orthonormal.hh