Dune::RefinedSimplexLocalBasis< D, 2 > Class Template Reference

Base class for LocalBasis classes based on uniform refinement in 2D; provides numbering and local coordinates of subelements. More...

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

Inheritance diagram for Dune::RefinedSimplexLocalBasis< D, 2 >:

List of all members.

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, 2 > &global)
	Get the number of the subtriangle containing a given point.
static void	getSubElement (const FieldVector< D, 2 > &global, int &subElement, FieldVector< D, 2 > &local)
	Get local coordinates in the subtriangle.

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Detailed Description

template<class D>
class Dune::RefinedSimplexLocalBasis< D, 2 >

Base class for LocalBasis classes based on uniform refinement in 2D; 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.

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Constructor & Destructor Documentation

template<class D >

Dune::RefinedSimplexLocalBasis< D, 2 >::RefinedSimplexLocalBasis

(

)

[inline, protected]

Protected default constructor so this class can only be instantiated as a base class.

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Member Function Documentation

template<class D >

static int Dune::RefinedSimplexLocalBasis< D, 2 >::getSubElement

(

const FieldVector< D, 2 > &

global

)

[inline, static, protected]

Get the number of the subtriangle containing a given point.

The triangles are ordered according to

          |\
          |2\
          |--\
          |\3|\
          |0\|1\
          ------ 

Parameters:

[in]

global

Coordinates in the reference triangle

Returns:

Number of the subtriangle containing global

template<class D >

static void Dune::RefinedSimplexLocalBasis< D, 2 >::getSubElement	(	const FieldVector< D, 2 > &	global,
		int &	subElement,
		FieldVector< D, 2 > &	local
	)		[inline, static, protected]

Get local coordinates in the subtriangle.

Parameters:

[in]	global	Coordinates in the reference triangle
[out]	subElement	Number of the subtriangle containing global
[out]	local	The local coordinates in the subtriangle

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

• refinedsimplexlocalbasis.hh