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

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. More...

static void	getSubElement (const FieldVector< D, 2 > &global, int &subElement, FieldVector< D, 2 > &local)
	Get local coordinates in the subtriangle. More...

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.

Member Function Documentation

template<class D >

static int Dune::RefinedSimplexLocalBasis< D, 2 >::getSubElement ( const FieldVector< D, 2 > & global )

inlinestaticprotected

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

template<class D >

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

inlinestaticprotected

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

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