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

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

Public Member Functions
	BSplineLocalBasis (const BSplinePreBasis< GV, MI > &preBasis, const BSplineLocalFiniteElement< GV, R, MI > &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.
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.

Detailed Description

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

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

Constructor & Destructor Documentation

BSplineLocalBasis()

template<class GV , class R , class MI >

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

inline

Constructor with a given B-spline patch.

The patch object does all the work.

Member Function Documentation

evaluateFunction()

template<class GV , class R , class MI >

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

References Dune::DiagonalMatrix< K, n >::umv().

Referenced by Dune::Functions::BSplineLocalBasis< GV, R, MI >::evaluate().

evaluateJacobian()

template<class GV , class R , class MI >

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

References Dune::DiagonalMatrix< K, n >::umv().

order()

template<class GV , class R , class MI >

unsigned int Dune::Functions::BSplineLocalBasis< GV, R, MI >::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.

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

• dune/functions/functionspacebases/bsplinebasis.hh