hp2D::IntegrableQuad Class Reference

#include <quad.hh>

Inheritance diagram for hp2D::IntegrableQuad:

Public Types
enum	intFormType { ZERO , ONE , TWO , THREE }

Public Member Functions
	IntegrableQuad (concepts::QuadNd &cell)
concepts::Real2d	chi (const Real x, const Real y) const
concepts::MapReal2d	jacobian (const Real x, const Real y) const
	Computes the Jacobian.
concepts::MapReal2d	jacobianInverse (const Real x, const Real y) const
	Computes the inverse of the Jacobian.
concepts::MapReal2d	inverseLaplace (const Real x, const Real y) const
Real	gramDeterminantRoot (const Real x, const Real y) const
void	setStrategy (const concepts::Quad2dSubdivision *strategy=0)
const concepts::Quad2dSubdivision *	getStrategy () const
virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
const concepts::QuadratureRule2d *const	intRule () const

Static Public Member Functions
static std::unique_ptr< concepts::QuadRuleFactoryTensor2d > &	factory ()
static concepts::QuadRuleFactoryTensor2d *	factory_rp ()

Protected Attributes
std::unique_ptr< concepts::QuadratureRule2d >	intRule_
	The integration rules.
concepts::QuadNd &	cell_
	The cell.

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

Definition at line 29 of file integral.hh.

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

Definition at line 144 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 148 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 121 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 135 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 )

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 161 of file quad.hh.

factory_

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

staticprotected

Definition at line 165 of file quad.hh.

intRule_

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

protected

The integration rules.

Definition at line 158 of file quad.hh.

---

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

• hp2D/quad.hh