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

#include <quad.hh>

Inheritance 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. More...

const concepts::Quad2dSubdivision *	getStrategy () const
	Returns the subdivision strategy of the underlying cell of this element. More...

Real	gramDeterminantRoot (const Real x, const Real y) const
	Computes the sqaure root of the Gram determinant multiplied by 0.25 to incorporate the transformation factor for the integration weights. More...

	IntegrableQuad (concepts::QuadNd &cell)

const concepts::QuadratureRule2d *const	intRule () const

concepts::MapReal2d	inverseLaplace (const Real x, const Real y) const

concepts::MapReal2d	jacobian (const Real x, const Real y) const
	Computes the Jacobian. More...

concepts::MapReal2d	jacobianInverse (const Real x, const Real y) const
	Computes the inverse of the Jacobian. More...

virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
	Delivers a quadrature point. More...

void	setStrategy (const concepts::Quad2dSubdivision *strategy=0) throw (concepts::StrategyChange)
	Sets the subdivision strategy of the underlying cell of this element. More...

Static Public Member Functions
static std::unique_ptr< concepts::QuadRuleFactoryTensor2d > &	factory ()
	Access to the quadrature rule, which is valid for all elements of this type (hp2D::IntegrableQuad). More...

static concepts::QuadRuleFactoryTensor2d *	factory_rp ()
	Access to the quadrature rule ( as factory() ) through a raw pointer. More...

Protected Attributes
concepts::QuadNd &	cell_
	The cell. More...

std::unique_ptr< concepts::QuadratureRule2d >	intRule_
	The integration rules. More...

Static Protected Attributes
static std::unique_ptr< concepts::QuadRuleFactoryTensor2d >	factory_

Detailed Description

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

Definition at line 31 of file quad.hh.

Member Enumeration Documentation

◆ intFormType

enum concepts::IntegrationCell::intFormType

inherited

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

Enumerator
ZERO
ONE
TWO
THREE

Definition at line 29 of file integral.hh.

Constructor & Destructor Documentation

◆ IntegrableQuad()

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

Member Function Documentation

◆ chi()

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 40 of file quad.hh.

◆ factory()

static std::unique_ptr<concepts::QuadRuleFactoryTensor2d>& hp2D::IntegrableQuad::factory ( )

inlinestatic

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.

Examples: BGT_0.cc, elasticity2D_tutorial.cc, exactDtN.cc, howToGetStarted.cc, inhomDirichletBCs.cc, inhomDirichletBCsLagrange.cc, inhomNeumannBCs.cc, parallelizationTutorial.cc, and RobinBCs.cc.

Definition at line 145 of file quad.hh.

◆ factory_rp()

static concepts::QuadRuleFactoryTensor2d* hp2D::IntegrableQuad::factory_rp ( )

inlinestatic

Access to the quadrature rule ( as factory() ) through a raw pointer.

Definition at line 149 of file quad.hh.

◆ getStrategy()

const concepts::Quad2dSubdivision* hp2D::IntegrableQuad::getStrategy ( ) const

inline

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

Definition at line 122 of file quad.hh.

◆ gramDeterminantRoot()

Real hp2D::IntegrableQuad::gramDeterminantRoot	(	const Real	x,
		const Real	y
	)		const

inline

Computes the sqaure root of the Gram determinant multiplied by 0.25 to incorporate the transformation factor for the integration weights.

Definition at line 91 of file quad.hh.

◆ intRule()

const concepts::QuadratureRule2d* const hp2D::IntegrableQuad::intRule ( ) const

inline

Definition at line 136 of file quad.hh.

◆ inverseLaplace()

concepts::MapReal2d hp2D::IntegrableQuad::inverseLaplace	(	const Real	x,
		const Real	y
	)		const

inline

Definition at line 66 of file quad.hh.

◆ jacobian()

concepts::MapReal2d hp2D::IntegrableQuad::jacobian	(	const Real	x,
		const Real	y
	)		const

inline

Computes the Jacobian.

Definition at line 45 of file quad.hh.

◆ jacobianInverse()

concepts::MapReal2d hp2D::IntegrableQuad::jacobianInverse	(	const Real	x,
		const Real	y
	)		const

inline

Computes the inverse of the Jacobian.

Definition at line 59 of file quad.hh.

◆ quadraturePoint()

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.

◆ setStrategy()

void hp2D::IntegrableQuad::setStrategy	(	const concepts::Quad2dSubdivision *	strategy = `0`	)
throw	(	concepts::StrategyChange
	)

inline

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

It calls Quad2d::setStrategy.

Parameters

strategy Pointer to an instance of a subdivision strategy.

Exceptions

StrategyChange if the change is not allowed (the change is not allowed if there are children present)

Definition at line 109 of file quad.hh.

Member Data Documentation

◆ cell_

concepts::QuadNd& hp2D::IntegrableQuad::cell_

protected

The cell.

Definition at line 162 of file quad.hh.

◆ factory_

std::unique_ptr<concepts::QuadRuleFactoryTensor2d> hp2D::IntegrableQuad::factory_

staticprotected

Definition at line 166 of file quad.hh.

◆ intRule_

std::unique_ptr<concepts::QuadratureRule2d> hp2D::IntegrableQuad::intRule_

protected

The integration rules.

Definition at line 159 of file quad.hh.

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

hp2D/quad.hh

hp2D::IntegrableQuad Class Reference

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Member Enumeration Documentation

◆ intFormType

Constructor & Destructor Documentation

◆ IntegrableQuad()

Member Function Documentation

◆ chi()

◆ factory()

◆ factory_rp()

◆ getStrategy()

◆ gramDeterminantRoot()

◆ intRule()

◆ inverseLaplace()

◆ jacobian()

◆ jacobianInverse()

◆ quadraturePoint()

◆ setStrategy()

Member Data Documentation

◆ cell_

◆ factory_

◆ intRule_