Dune Core Modules (2.8.0)

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.
 
size_t size () const
 number of coefficients
 
const Dune::LocalKeylocalKey (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
DType to represent the field in the domain.
RType to represent the field in the range.

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