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

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

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

Public Types
typedef LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > >	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.
void	partial (const std::array< unsigned int, dim > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of any order of all shape functions. More...
unsigned int	order () const
	Polynomial order of the shape functions.

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 \nosubgrouping

Member Function Documentation

partial()

template<class D , class R , int dim>

void Dune::P1LocalBasis< D, R, dim >::partial ( const std::array< unsigned int, dim > &  order, const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate partial derivatives of any order of all shape functions.

Parameters

	order	Order of the partial derivatives, in the classic multi-index notation
	in	Position where to evaluate the derivatives
[out]	out	Return value: the desired partial derivatives

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

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

• dune/localfunctions/lagrange/p1/p1localbasis.hh