Dune Core Modules (unstable)

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::Basisbasis () const
 return reference to the basis object
 
const Traits::Interpolationinterpolation () const
 return reference to the interpolation object
 
const Traits::Coefficientscoefficients () 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
DType to represent the field in the domain.
RType to represent the field in the range.
dimDimension 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
geoGeometry of the element to construct a local basis for.
vertexOrderVertex ordering information. Only the vertex order on the dim=1 sub-entities (edges) is required.

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