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>

List of all members.

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

---

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.

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Constructor & Destructor Documentation

template<int dim>

Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >::HierarchicalSimplexP2WithElementBubbleLocalCoefficients

(

)

[inline]

Standard constructor.

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Member Function Documentation

template<int dim>

const Dune::LocalKey& Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >::localKey

(

size_t

i

)

const [inline]

get i'th index

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