Dune::EdgeS0_5FiniteElement< Geometry, RF > Class Template Reference

FiniteElement for lowest order edge elements on simplices. More...

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

Public Member Functions
template<class VertexOrder >
	EdgeS0_5FiniteElement (const Geometry &geo, const VertexOrder &vertexOrder)
	Constructor. More...
const Traits::Basis &	basis () const
	return reference to the basis object
const Traits::Interpolation &	interpolation () const
	return reference to the interpolation object
const Traits::Coefficients &	coefficients () const
	return reference to the coefficients object

Static Public Member Functions
static constexpr GeometryType	type ()
	return geometry type of this element

Detailed Description

template<class Geometry, class RF>
class Dune::EdgeS0_5FiniteElement< Geometry, RF >

FiniteElement for lowest order edge elements on simplices.

Uses the representation

\[ \mathbf N^i=(L^{i_0}\nabla L^{i_1}- L^{i_1}\nabla L^{i_0})\ell^i \]

where \(L^k\) is the P1 shape function for vertex \(k\), \(i_0\) and \(i_1\) are the indices of the vertices of edge \(i\) and \(\ell^i\) is the length of edge \(i\).

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	Dimension of both domain and range.

Constructor & Destructor Documentation

EdgeS0_5FiniteElement()

template<class Geometry , class RF >

template<class VertexOrder >

Dune::EdgeS0_5FiniteElement< Geometry, RF >::EdgeS0_5FiniteElement ( const Geometry &  geo, const VertexOrder &  vertexOrder  )

inline

Constructor.

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.

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

• dune/localfunctions/whitney/edges0.5.hh