Dune::Functions::BSplineLocalFiniteElement< GV, R > Class Template Reference

LocalFiniteElement in the sense of dune-localfunctions, for the B-spline basis on tensor-product grids. More...

#include <dune/functions/functionspacebases/bsplinebasis.hh>

Inheritance diagram for Dune::Functions::BSplineLocalFiniteElement< GV, R >:

Public Types
typedef LocalFiniteElementTraits< BSplineLocalBasis< GV, R >, BSplineLocalCoefficients< dim >, BSplineLocalInterpolation< dim, BSplineLocalBasis< GV, R > > >	Traits
	Export various types related to this LocalFiniteElement.

Public Member Functions
	BSplineLocalFiniteElement (const BSplinePreBasis< GV > &preBasis)
	Constructor with a given B-spline basis.
	BSplineLocalFiniteElement (const BSplineLocalFiniteElement &other)
	Copy constructor.
void	bind (const std::array< unsigned, dim > &elementIdx)
	Bind LocalFiniteElement to a specific knot span of the spline patch.
const BSplineLocalBasis< GV, R > &	localBasis () const
	Hand out a LocalBasis object.
const BSplineLocalCoefficients< dim > &	localCoefficients () const
	Hand out a LocalCoefficients object.
const BSplineLocalInterpolation< dim, BSplineLocalBasis< GV, R > > &	localInterpolation () const
	Hand out a LocalInterpolation object.
unsigned	size () const
	Number of shape functions in this finite element.
GeometryType	type () const
	Return the reference element that the local finite element is defined on (here, a hypercube)
unsigned int	size (int i) const
	Number of degrees of freedom for one coordinate direction.

Public Attributes
const BSplinePreBasis< GV > &	preBasis_
BSplineLocalBasis< GV, R >	localBasis_
BSplineLocalCoefficients< dim >	localCoefficients_
BSplineLocalInterpolation< dim, BSplineLocalBasis< GV, R > >	localInterpolation_
std::array< unsigned, dim >	currentKnotSpan_

Friends
class	BSplineLocalBasis< GV, R >

Detailed Description

template<class GV, class R>
class Dune::Functions::BSplineLocalFiniteElement< GV, R >

LocalFiniteElement in the sense of dune-localfunctions, for the B-spline basis on tensor-product grids.

This class ties together the implementation classes BSplineLocalBasis, BSplineLocalCoefficients, and BSplineLocalInterpolation

Template Parameters

D	Number type used for domain coordinates
R	Number type used for spline function values

Member Typedef Documentation

Traits

template<class GV , class R >

typedef LocalFiniteElementTraits<BSplineLocalBasis<GV,R>, BSplineLocalCoefficients<dim>, BSplineLocalInterpolation<dim,BSplineLocalBasis<GV,R> > > Dune::Functions::BSplineLocalFiniteElement< GV, R >::Traits

Export various types related to this LocalFiniteElement.

Constructor & Destructor Documentation

BSplineLocalFiniteElement() [1/2]

template<class GV , class R >

Dune::Functions::BSplineLocalFiniteElement< GV, R >::BSplineLocalFiniteElement ( const BSplinePreBasis< GV > &  preBasis )

inline

Constructor with a given B-spline basis.

BSplineLocalFiniteElement() [2/2]

template<class GV , class R >

Dune::Functions::BSplineLocalFiniteElement< GV, R >::BSplineLocalFiniteElement ( const BSplineLocalFiniteElement< GV, R > &  other )

inline

Copy constructor.

Member Function Documentation

bind()

template<class GV , class R >

void Dune::Functions::BSplineLocalFiniteElement< GV, R >::bind ( const std::array< unsigned, dim > &  elementIdx )

inline

Bind LocalFiniteElement to a specific knot span of the spline patch.

Elements are the non-empty knot spans, here we do the renumbering

Parameters

ijk	Integer coordinates in the tensor product patch

localBasis()

template<class GV , class R >

const BSplineLocalBasis< GV, R > & Dune::Functions::BSplineLocalFiniteElement< GV, R >::localBasis ( ) const

inline

Hand out a LocalBasis object.

localCoefficients()

template<class GV , class R >

const BSplineLocalCoefficients< dim > & Dune::Functions::BSplineLocalFiniteElement< GV, R >::localCoefficients ( ) const

inline

Hand out a LocalCoefficients object.

localInterpolation()

template<class GV , class R >

const BSplineLocalInterpolation< dim, BSplineLocalBasis< GV, R > > & Dune::Functions::BSplineLocalFiniteElement< GV, R >::localInterpolation ( ) const

inline

Hand out a LocalInterpolation object.

size() [1/2]

template<class GV , class R >

unsigned Dune::Functions::BSplineLocalFiniteElement< GV, R >::size ( ) const

inline

Number of shape functions in this finite element.

size() [2/2]

template<class GV , class R >

unsigned int Dune::Functions::BSplineLocalFiniteElement< GV, R >::size ( int  i ) const

inline

Number of degrees of freedom for one coordinate direction.

type()

template<class GV , class R >

GeometryType Dune::Functions::BSplineLocalFiniteElement< GV, R >::type ( ) const

inline

Return the reference element that the local finite element is defined on (here, a hypercube)

Friends And Related Symbol Documentation

BSplineLocalBasis< GV, R >

template<class GV , class R >

friend class BSplineLocalBasis< GV, R >

friend

Member Data Documentation

currentKnotSpan_

template<class GV , class R >

std::array<unsigned,dim> Dune::Functions::BSplineLocalFiniteElement< GV, R >::currentKnotSpan_

localBasis_

template<class GV , class R >

BSplineLocalBasis<GV,R> Dune::Functions::BSplineLocalFiniteElement< GV, R >::localBasis_

localCoefficients_

template<class GV , class R >

BSplineLocalCoefficients<dim> Dune::Functions::BSplineLocalFiniteElement< GV, R >::localCoefficients_

localInterpolation_

template<class GV , class R >

BSplineLocalInterpolation<dim,BSplineLocalBasis<GV,R> > Dune::Functions::BSplineLocalFiniteElement< GV, R >::localInterpolation_

preBasis_

template<class GV , class R >

const BSplinePreBasis<GV>& Dune::Functions::BSplineLocalFiniteElement< GV, R >::preBasis_

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

• bsplinebasis.hh