Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim > Class Template Reference

The local finite element needed for the Zou-Kornhuber estimator for Signorini problems. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh>

Public Member Functions
	HierarchicalSimplexP2WithElementBubbleLocalCoefficients ()
	Standard constructor. More...
size_t	size () const
	number of coefficients More...
const Dune::LocalKey &	localKey (size_t i) const
	get i'th index More...

Detailed Description

template<int dim>
class Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >

The local finite element needed for the Zou-Kornhuber estimator for Signorini problems.

This shape function set consists of three parts:

• Linear shape functions associated to the element vertices
• Piecewise linear edge bubbles
• A cubic element bubble

Currently this element exists only for triangles!

The functions are associated to points by:

f_0 ~ (0.0, 0.0) f_1 ~ (1.0, 0.0) f_2 ~ (0.0, 1.0) f_3 ~ (0.5, 0.0) f_4 ~ (0.0, 0.5) f_5 ~ (0.5, 0.5) f_6 ~ (1/3, 1/3)

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.

Constructor & Destructor Documentation

HierarchicalSimplexP2WithElementBubbleLocalCoefficients()

template<int dim>

Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >::HierarchicalSimplexP2WithElementBubbleLocalCoefficients ( )

inline

Standard constructor.

Member Function Documentation

localKey()

template<int dim>

const Dune::LocalKey& Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >::localKey ( size_t  i ) const

inline

get i'th index

size()

template<int dim>

size_t Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >::size ( ) const

inline

number of coefficients

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

• hierarchicalsimplexp2withelementbubble.hh