Class holding the quadrature rule and the cell of a quadrilateral element. More...

#include <quad.hh>

Inheritance diagram for hp2D::IntegrableQuad:

Collaboration diagram for hp2D::IntegrableQuad:

Public Types
enum	intFormType { ZERO, ONE, TWO, THREE }
	Integration form, which determines terms coming from integration over reference element. More...
Public Member Functions
concepts::Real2d	chi (const Real x, const Real y) const
	Computes the element map, the map from the reference element to the real geometry of the quad.
const concepts::Quad2dSubdivision *	getStrategy () const
	Returns the subdivision strategy of the underlying cell of this element.
	IntegrableQuad (concepts::Quad2d &cell)
const concepts::QuadratureRule *	integrationX () const
	Returns the integration rule in x direction.
const concepts::QuadratureRule *	integrationY () const
	Returns the integration rule in y direction.
concepts::MapReal2d	jacobian (const Real x, const Real y) const
	Computes the Jacobian.
Real	jacobianDeterminant (const Real x, const Real y) const
	Computes the determinant of the Jacobian.
concepts::MapReal2d	jacobianInverse (const Real x, const Real y) const
	Computes the inverse of the Jacobian.
virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
	Delivers a quadrature point.
void	setStrategy (const concepts::Quad2dSubdivision *strategy=0) throw (concepts::StrategyChange)
	Sets the subdivision strategy of the underlying cell of this element.
Static Public Member Functions
static concepts::QuadRuleFactory &	rule ()
	Access to the quadrature rule, which is valid for all elements of this type (hp2D::IntegrableQuad).
Protected Attributes
concepts::Quad2d &	cell_
	The cell.
std::auto_ptr < concepts::QuadratureRule >	intX_
	The integration rules.
std::auto_ptr < concepts::QuadratureRule >	intY_
Static Protected Attributes
static concepts::QuadRuleFactory	rule_

Detailed Description

Class holding the quadrature rule and the cell of a quadrilateral element.

Definition at line 29 of file quad.hh.

Member Enumeration Documentation

enum concepts::IntegrationCell::intFormType [inherited]

Integration form, which determines terms coming from integration over reference element.

Enumerator:

ZERO
ONE
TWO
THREE

Definition at line 27 of file integral.hh.

Constructor & Destructor Documentation

hp2D::IntegrableQuad::IntegrableQuad ( concepts::Quad2d & cell )

Member Function Documentation

concepts::Real2d hp2D::IntegrableQuad::chi	(	const Real	x,
		const Real	y
	)		const `[inline]`

Computes the element map, the map from the reference element to the real geometry of the quad.

The reference element is the unit quad.

Definition at line 55 of file quad.hh.

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const concepts::Quad2dSubdivision* hp2D::IntegrableQuad::getStrategy ( ) const [inline]

Returns the subdivision strategy of the underlying cell of this element.

Definition at line 96 of file quad.hh.

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const concepts::QuadratureRule* hp2D::IntegrableQuad::integrationX ( ) const [inline]

Returns the integration rule in x direction.

Definition at line 34 of file quad.hh.

const concepts::QuadratureRule* hp2D::IntegrableQuad::integrationY ( ) const [inline]

Returns the integration rule in y direction.

Definition at line 38 of file quad.hh.

concepts::MapReal2d hp2D::IntegrableQuad::jacobian	(	const Real	x,
		const Real	y
	)		const `[inline]`

Computes the Jacobian.

Definition at line 60 of file quad.hh.

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Real hp2D::IntegrableQuad::jacobianDeterminant	(	const Real	x,
		const Real	y
	)		const `[inline]`

Computes the determinant of the Jacobian.

Definition at line 75 of file quad.hh.

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concepts::MapReal2d hp2D::IntegrableQuad::jacobianInverse	(	const Real	x,
		const Real	y
	)		const `[inline]`

Computes the inverse of the Jacobian.

Definition at line 68 of file quad.hh.

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virtual bool hp2D::IntegrableQuad::quadraturePoint	(	uint	i,
		intPoint &	p,
		intFormType	form = `ZERO`,
		bool	localCoord = `false`
	)		const `[virtual]`

Delivers a quadrature point.

Quadrature point consists of coordinates (for evaluation of formulas) and intermediate data, consisting of the weight and term coming from mapping.

Returns false, if the number of quadrature points is overstepped.

Parameters:

i	number of quadrature point
intPoint	data given back
form	Integration form
localCoord	If true, local coordinates are returned. Else physical coordinates.

Implements concepts::IntegrationCell.

static concepts::QuadRuleFactory& hp2D::IntegrableQuad::rule ( ) [inline, static]

Access to the quadrature rule, which is valid for all elements of this type (hp2D::IntegrableQuad).

Change of the quadrature rule is put into practice for newly created elements and for already created elements by precomputing the integration points and shape functions on them.