Dune::EdgeS0_5Basis< Geometry, RF > Class Template Reference

Basis for order 0.5 (lowest order) edge elements on simplices. More...

#include <dune/localfunctions/whitney/edges0.5/basis.hh>

Inheritance diagram for Dune::EdgeS0_5Basis< Geometry, RF >:

Classes
struct	Traits
	export type traits for function signature More...

Public Member Functions
template<typename VertexOrder>
	EdgeS0_5Basis (const Geometry &geo, const VertexOrder &vertexOrder)
	Construct an EdgeS0_5Basis.
std::size_t	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainLocal &xl, std::vector< typename Traits::Range > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainLocal &, std::vector< typename Traits::Jacobian > &out) const
	Evaluate all Jacobians.
void	partial (const std::array< unsigned int, dim > &order, const typename Traits::DomainLocal &in, std::vector< typename Traits::Range > &out) const
	Evaluate partial derivatives of all shape functions.
std::size_t	order () const
	Polynomial order of the shape functions.

Detailed Description

template<class Geometry, class RF>
class Dune::EdgeS0_5Basis< Geometry, RF >

Basis for order 0.5 (lowest order) edge elements on simplices.

Template Parameters

Geometry	Type of the local-to-global map.
RF	Type to represent the field in the range.

Constructor & Destructor Documentation

EdgeS0_5Basis()

template<class Geometry, class RF>

template<typename VertexOrder>

Dune::EdgeS0_5Basis< Geometry, RF >::EdgeS0_5Basis ( const Geometry & geo, const VertexOrder & vertexOrder )

inline

Construct an EdgeS0_5Basis.

Parameters

geo	Geometry of the element to construct a local basis for.
vertexOrder	Vertex ordering information. Only the vertex order on the dim=1 sub-entities (edges) is required.

Member Function Documentation

evaluateFunction()

template<class Geometry, class RF>

void Dune::EdgeS0_5Basis< Geometry, RF >::evaluateFunction ( const typename Traits::DomainLocal & xl, std::vector< typename Traits::Range > & out ) const

inline

Evaluate all shape functions.

evaluateJacobian()

template<class Geometry, class RF>

void Dune::EdgeS0_5Basis< Geometry, RF >::evaluateJacobian ( const typename Traits::DomainLocal & , std::vector< typename Traits::Jacobian > & out ) const

inline

Evaluate all Jacobians.

order()

template<class Geometry, class RF>

std::size_t Dune::EdgeS0_5Basis< Geometry, RF >::order ( ) const

inline

Polynomial order of the shape functions.

partial()

template<class Geometry, class RF>

void Dune::EdgeS0_5Basis< Geometry, RF >::partial ( const std::array< unsigned int, dim > & order, const typename Traits::DomainLocal & in, std::vector< typename Traits::Range > & out ) const

inline

Evaluate partial derivatives of all shape functions.

size()

template<class Geometry, class RF>

std::size_t Dune::EdgeS0_5Basis< Geometry, RF >::size ( ) const

inline

number of shape functions

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

• whitney/edges0.5/basis.hh