Dune Core Modules (unstable)

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
DType 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]globalCoordinates 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]globalCoordinates in the reference simplex
[out]subElementNumber of the subsimplex containing global
[out]localThe local coordinates in the subsimplex

References DUNE_THROW.


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