Dune::Functions::BSplineLocalFiniteElement< GV, R, MI > 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>

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

Public Member Functions
	BSplineLocalFiniteElement (const BSplinePreBasis< GV, MI > &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. More...
const BSplineLocalBasis< GV, R, MI > &	localBasis () const
	Hand out a LocalBasis object.
const BSplineLocalCoefficients< dim > &	localCoefficients () const
	Hand out a LocalCoefficients object.
const BSplineLocalInterpolation< dim, BSplineLocalBasis< GV, R, MI > > &	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.

Detailed Description

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

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
MI	Global multi-index type. Only here for technical reasons

Member Function Documentation

bind()

template<class GV , class R , class MI >

void Dune::Functions::BSplineLocalFiniteElement< GV, R, MI >::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

References Dune::Functions::BSplineLocalFiniteElement< GV, R, MI >::size().

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

• dune/functions/functionspacebases/bsplinebasis.hh