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

LocalBasis class in the sense of dune-localfunctions, presenting the restriction of a B-spline patch to a knot span. More...

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

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

Public Types
typedef LocalBasisTraits< D, dim, FieldVector< D, dim >, R, 1, FieldVector< R, 1 >, FieldMatrix< R, 1, dim > >	Traits
	export type traits for function signature More...

Public Member Functions
	BSplineLocalBasis (const BSplinePreBasis< GV > &preBasis, const BSplineLocalFiniteElement< GV, R > &lFE)
	Constructor with a given B-spline patch. More...
void	evaluateFunction (const FieldVector< D, dim > &in, std::vector< FieldVector< R, 1 > > &out) const
	Evaluate all shape functions. More...
void	evaluateJacobian (const FieldVector< D, dim > &in, std::vector< FieldMatrix< D, 1, dim > > &out) const
	Evaluate Jacobian of all shape functions. More...
template<size_t k>
void	evaluate (const typename std::array< int, k > &directions, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions and derivatives of any order. More...
unsigned int	order () const
	Polynomial order of the shape functions. More...
std::size_t	size () const
	Return the number of basis functions on the current knot span. More...

Friends
class	BSplineLocalFiniteElement< GV, R >

Detailed Description

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

LocalBasis class in the sense of dune-localfunctions, presenting the restriction of a B-spline patch to a knot span.

Template Parameters

GV	Grid view that the basis is defined on
R	Number type used for spline function values

Member Typedef Documentation

Traits

template<class GV , class R >

typedef LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>, FieldMatrix<R,1,dim> > Dune::Functions::BSplineLocalBasis< GV, R >::Traits

export type traits for function signature

Constructor & Destructor Documentation

BSplineLocalBasis()

template<class GV , class R >

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

inline

Constructor with a given B-spline patch.

The patch object does all the work.

Member Function Documentation

evaluate()

template<class GV , class R >

template<size_t k>

void Dune::Functions::BSplineLocalBasis< GV, R >::evaluate ( const typename std::array< int, k > &  directions, const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate all shape functions and derivatives of any order.

evaluateFunction()

template<class GV , class R >

void Dune::Functions::BSplineLocalBasis< GV, R >::evaluateFunction ( const FieldVector< D, dim > &  in, std::vector< FieldVector< R, 1 > > &  out  ) const

inline

Evaluate all shape functions.

Parameters

in	Coordinates where to evaluate the functions, in local coordinates of the current knot span

evaluateJacobian()

template<class GV , class R >

void Dune::Functions::BSplineLocalBasis< GV, R >::evaluateJacobian ( const FieldVector< D, dim > &  in, std::vector< FieldMatrix< D, 1, dim > > &  out  ) const

inline

Evaluate Jacobian of all shape functions.

Parameters

in	Coordinates where to evaluate the Jacobian, in local coordinates of the current knot span

order()

template<class GV , class R >

unsigned int Dune::Functions::BSplineLocalBasis< GV, R >::order ( ) const

inline

Polynomial order of the shape functions.

Unfortunately, the general interface of the LocalBasis class mandates that the 'order' method takes no arguments, and returns a single integer. It therefore cannot reflect that fact that a B-spline basis function can easily have different orders in the different coordinate directions. We therefore take the conservative choice and return the maximum over the orders of all directions.

size()

template<class GV , class R >

std::size_t Dune::Functions::BSplineLocalBasis< GV, R >::size ( ) const

inline

Return the number of basis functions on the current knot span.

Friends And Related Function Documentation

BSplineLocalFiniteElement< GV, R >

template<class GV , class R >

friend class BSplineLocalFiniteElement< GV, R >

friend

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

• bsplinebasis.hh