Dune::P1LocalBasis< D, R, dim > Class Template Reference

Linear Lagrange shape functions on the simplex. More...

#include <dune/localfunctions/lagrange/p1/p1localbasis.hh>

List of all members.

Public Types
typedef LocalBasisTraits< D, dim, Dune::FieldVector< D, dim > , R, 1, Dune::FieldVector< R, 1 > , Dune::FieldMatrix< R, 1, dim >, 2 >	Traits
	export type traits for function signature
Public Member Functions
unsigned int	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions.
template<unsigned int k>
void	evaluate (const typename Dune::array< int, k > &directions, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
unsigned int	order () const
	Polynomial order of the shape functions.

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Detailed Description

template<class D, class R, int dim>
class Dune::P1LocalBasis< D, R, dim >

Linear Lagrange shape functions on the simplex.

Defines the linear shape functions on the simplex.

Template Parameters:

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	The dimension of the simplex

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Member Typedef Documentation

template<class D , class R , int dim>

typedef LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,dim>, 2> Dune::P1LocalBasis< D, R, dim >::Traits

export type traits for function signature

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Member Function Documentation

template<class D , class R , int dim>

template<unsigned int k>

void Dune::P1LocalBasis< D, R, dim >::evaluate	(	const typename Dune::array< int, k > &	directions,
		const typename Traits::DomainType &	in,
		std::vector< typename Traits::RangeType > &	out
	)		const [inline]

Evaluate all shape functions.

References Dune::P1LocalBasis< D, R, dim >::evaluateFunction(), and Dune::P1LocalBasis< D, R, dim >::size().

template<class D , class R , int dim>

void Dune::P1LocalBasis< D, R, dim >::evaluateFunction	(	const typename Traits::DomainType &	in,
		std::vector< typename Traits::RangeType > &	out
	)		const [inline]

Evaluate all shape functions.

References Dune::P1LocalBasis< D, R, dim >::size().

Referenced by Dune::P1LocalBasis< D, R, dim >::evaluate(), and Dune::EdgeS0_5Basis< Geometry, RF >::evaluateFunction().

template<class D , class R , int dim>

void Dune::P1LocalBasis< D, R, dim >::evaluateJacobian	(	const typename Traits::DomainType &	in,
		std::vector< typename Traits::JacobianType > &	out
	)		const [inline]

Evaluate Jacobian of all shape functions.

References Dune::P1LocalBasis< D, R, dim >::size().

template<class D , class R , int dim>

unsigned int Dune::P1LocalBasis< D, R, dim >::order

(

)

const [inline]

Polynomial order of the shape functions.

template<class D , class R , int dim>

unsigned int Dune::P1LocalBasis< D, R, dim >::size

(

)

const [inline]

number of shape functions

Referenced by Dune::P1LocalBasis< D, R, dim >::evaluate(), Dune::P1LocalBasis< D, R, dim >::evaluateFunction(), and Dune::P1LocalBasis< D, R, dim >::evaluateJacobian().

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

• p1localbasis.hh