Dune::RefinedSimplexLocalBasis< D, 3 > Class Template Reference

Base class for LocalBasis classes based on uniform refinement in 3D; provides numbering and local coordinates of subelements. More...

#include <dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>

Protected Member Functions
	RefinedSimplexLocalBasis ()
	Protected default constructor so this class can only be instantiated as a base class.

Static Protected Member Functions
static int	getSubElement (const FieldVector< D, 3 > &global)
	Get the number of the subsimplex containing a given point in the reference element. More...
static void	getSubElement (const FieldVector< D, 3 > &global, int &subElement, FieldVector< D, 3 > &local)
	Get local coordinates in the subsimplex. More...

Detailed Description

template<class D>
class Dune::RefinedSimplexLocalBasis< D, 3 >

Base class for LocalBasis classes based on uniform refinement in 3D; provides numbering and local coordinates of subelements.

Shape functions like these are necessary for hierarchical error estimators for certain nonlinear problems.

Template Parameters

D	Type to represent the field in the domain.

Member Function Documentation

getSubElement() [1/2]

template<class D >

static int Dune::RefinedSimplexLocalBasis< D, 3 >::getSubElement ( const FieldVector< D, 3 > &  global )

inlinestaticprotected

Get the number of the subsimplex containing a given point in the reference element.

Defining the following points in the reference simplex

0: (0.0, 0.0, 0.0) 1: (1.0, 0.0, 0.0) 2: (0.0, 1.0, 0.0) 3: (0.0, 0.0, 1.0) 4: (0.5, 0.0, 0.0) 5: (0.5, 0.5, 0.0) 6: (0.0, 0.5, 0.0) 7: (0.0, 0.0, 0.5) 8: (0.5, 0.0, 0.5) 9: (0.0, 0.5, 0.5)

The subsimplices are numbered according to

0: 0467 - 1: 4158 |_ "cut off" vertices 2: 6529 | 3: 7893 -

4: 6487 - 5: 4568 |_ octahedron partition 6: 6897 | 7: 6895 -

Parameters

[in]

global

Coordinates in the reference simplex

Returns

Number of the subsimplex containing global

References DUNE_THROW.

getSubElement() [2/2]

template<class D >

static void Dune::RefinedSimplexLocalBasis< D, 3 >::getSubElement ( const FieldVector< D, 3 > &  global, int &  subElement, FieldVector< D, 3 > &  local  )

inlinestaticprotected

Get local coordinates in the subsimplex.

Parameters

[in]	global	Coordinates in the reference simplex
[out]	subElement	Number of the subsimplex containing global
[out]	local	The local coordinates in the subsimplex

References DUNE_THROW.

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

• dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh