Abstract class defining integration rules. Numerical Integration. More...

#include <tpzintpoints.h>

Inheritance diagram for TPZIntPoints:

Public Member Functions
virtual	~TPZIntPoints ()
	Default destructor. More...

	TPZIntPoints ()

	TPZIntPoints (const TPZIntPoints &copy)

TPZIntPoints &	operator= (const TPZIntPoints &copy)

virtual void	Name (std::string &name) const
	Returns the name of the cubature rule. More...

virtual int	NPoints () const =0
	Returns number of points for the cubature rule related. More...

virtual void	Point (int i, TPZVec< REAL > &pos, REAL &w) const =0
	Returns i-th point at master element and related weight. More...

virtual void	SetOrder (TPZVec< int > &ord, int type=0)=0
	Sets the order of the cubature rule. More...

virtual void	GetOrder (TPZVec< int > &ord) const =0
	Gets the order of the integration rule for each dimension of the master element. More...

virtual int	GetMaxOrder () const
	Returns the minimum order to integrate polinomials exactly for all implemented cubature rules. More...

virtual int	Dimension () const =0
	Returns the dimension of the master element related for the cubature rule. More...

virtual TPZIntPoints *	Clone () const =0
	Make a clone of the related cubature rule. More...

virtual TPZIntPoints *	PrismExtend (int order)=0

virtual void	SetType (int type, int order)
	Sets the type of gaussian quadrature as Lobatto, Raud or Legendre rule. More...

virtual void	Print (std::ostream &out) const
	Prints information of the cubature rule. More...

Detailed Description

Abstract class defining integration rules. Numerical Integration.

Author: Philippe R. B. Devloo phil@.nosp@m.fec..nosp@m.unica.nosp@m.mp.b.nosp@m.r

Definition at line 19 of file tpzintpoints.h.

Constructor & Destructor Documentation

◆ ~TPZIntPoints()

virtual TPZIntPoints::~TPZIntPoints ( )

inlinevirtual

Default destructor.

Definition at line 22 of file tpzintpoints.h.

◆ TPZIntPoints() [1/2]

TPZIntPoints::TPZIntPoints ( )

inline

Definition at line 25 of file tpzintpoints.h.

◆ TPZIntPoints() [2/2]

TPZIntPoints::TPZIntPoints ( const TPZIntPoints & copy )

inline

Definition at line 30 of file tpzintpoints.h.

Member Function Documentation

◆ Clone()

virtual TPZIntPoints* TPZIntPoints::Clone ( ) const

pure virtual

◆ Dimension()

virtual int TPZIntPoints::Dimension ( ) const

pure virtual

Returns the dimension of the master element related for the cubature rule.

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, and TPZInt1d.

Referenced by pzgeom::GPr< TFather, Topology >::Diagnostic(), and Name().

◆ GetMaxOrder()

int TPZIntPoints::GetMaxOrder ( ) const

virtual

Returns the minimum order to integrate polinomials exactly for all implemented cubature rules.

Note: To get real maxime order for especific rule call GetRealMaxOrder(), but for Gauss rule 1D the implementation can to compute a cubature rule up to on hundred order.

TPZIntPoints method that returns a coherent maxime order to work It is necessary because now can to be computed rule with integration points up to one thousand.

Reimplemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, and TPZInt1d.

Definition at line 30 of file pzquad.cpp.

References TPZIntRuleP3D::NRULESPYRAMID_ORDER, TPZIntRuleT3D::NRULESTETRAHEDRA_ORDER, and TPZIntRuleT::NRULESTRIANGLE_ORDER.

Referenced by TPZInterfaceElement::CalcResidual(), TPZInterfaceElement::ComputeErrorFace(), TPZMultiphysicsCompEl< TGeometry >::EvaluateError(), TPZInterpolationSpace::EvaluateError(), TPZSBFemVolume::EvaluateError(), TPZInterfaceElement::EvaluateInterfaceJump(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZMathTools::IntegrateFunction(), TPZInterfaceElement::IntegrateInterface(), TPZInterpolationSpace::InterpolateSolution(), TPZInterpolationSpace::MinMaxSolutionValues(), and Name().

◆ GetOrder()

virtual void TPZIntPoints::GetOrder ( TPZVec< int > & ord ) const

pure virtual

Gets the order of the integration rule for each dimension of the master element.

Parameters

ord	Vector (3d) to get the orders of the polinomial integrated exactly.

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, and TPZInt1d.

Referenced by TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZInterpolationSpace::ComputeError(), TPZMGAnalysis::ElementError(), TPZMultiphysicsCompEl< TGeometry >::EvaluateError(), TPZInterpolationSpace::EvaluateError(), TPZSBFemVolume::EvaluateError(), TPZInterfaceElement::EvaluateInterfaceJump(), TPZInterpolationSpace::InterpolateSolution(), TPZInterpolationSpace::MinMaxSolutionValues(), Name(), TPZInterpolatedElement::Print(), and TPZCompElDisc::Write().

◆ Name()

virtual void TPZIntPoints::Name ( std::string & name ) const

inlinevirtual

Returns the name of the cubature rule.

Reimplemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, and TPZInt1d.

Definition at line 41 of file tpzintpoints.h.

References Clone(), Dimension(), GetMaxOrder(), GetOrder(), NPoints(), Point(), PrismExtend(), and SetOrder().

◆ NPoints()

virtual int TPZIntPoints::NPoints ( ) const

pure virtual

Returns number of points for the cubature rule related.

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, TPZInt1d, and TPZIntQuadQuarterPoint.

Referenced by TPZCompElDisc::AccumulateIntegrationRule(), TPZInterpolatedElement::AdjustPreferredSideOrder(), TPZGeoElSide::Area(), TPZPostProcAnalysis::AutoBuildDisc(), TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZCompElDisc::BuildTransferMatrix(), TPZInterpolatedElement::CalcIntegral(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), TPZInterpolationSpace::CalcResidual(), TPZInterfaceElement::CalcResidual(), TPZMultiphysicsCompEl< TGeometry >::CalcResidual(), TPZMultiphysicsInterfaceElement::CalcStiff(), TPZInterpolationSpace::CalcStiff(), TPZInterfaceElement::CalcStiff(), TPZMultiphysicsCompEl< TGeometry >::CalcStiff(), TPZInterpolatedElement::CheckElementConsistency(), TPZCheckGeom::CheckNeighbourMap(), TPZCheckRestraint::CheckRestraint(), TPZCheckGeom::CheckSideTransform(), TPZCheckGeom::CheckSubFatherTransform(), TPZInterpolatedElement::CompareElement(), CompareFluxes(), TPZInterpolationSpace::ComputeError(), TPZInterfaceElement::ComputeErrorFace(), TPZSBFemVolume::ComputeKMatrices(), TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), TPZRefPatternTools::ConstJacobian(), pzgeom::GPr< TFather, Topology >::Diagnostic(), TPZMGAnalysis::ElementError(), TPZMultiphysicsCompEl< TGeometry >::EvaluateError(), TPZInterpolationSpace::EvaluateError(), TPZSBFemVolume::EvaluateError(), TPZInterfaceElement::EvaluateInterfaceJump(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZCompElWithMem< TBASE >::ForcePrepareIntPtIndices(), TPZGradientReconstruction::TPZGradientData::GetCenterPointAndCellAveraged(), TPZMathTools::IntegrateFunction(), TPZInterfaceElement::IntegrateInterface(), TPZMultiphysicsCompEl< TGeometry >::IntegrateSolution(), TPZInterpolationSpace::IntegrateSolution(), TPZCompEl::IntegrateSolution(), TPZInterpolationSpace::InterpolateSolution(), TPZInterpolatedElement::MeanSolution(), TPZInterpolationSpace::MinMaxSolutionValues(), Name(), TPZCompElWithMem< TBASE >::PrepareIntPtIndices(), TPZInterpolationSpace::ProjectFlux(), TPZInterpolatedElement::RestrainSide(), TPZCompElWithMem< TBASE >::SetIntegrationRule(), and TPZRefPatternTools::TransformationTest().

◆ operator=()

TPZIntPoints& TPZIntPoints::operator= ( const TPZIntPoints & copy )

inline

Definition at line 35 of file tpzintpoints.h.

Referenced by TPZIntTriang::operator=(), TPZIntQuad::operator=(), TPZIntCube3D::operator=(), TPZIntTetra3D::operator=(), TPZIntPyram3D::operator=(), TPZIntPrism3D::operator=(), and TPZInt1Point::operator=().

◆ Point()

virtual void TPZIntPoints::Point	(	int	i,
		TPZVec< REAL > &	pos,
		REAL &	w
	)		const

pure virtual

Returns i-th point at master element and related weight.

Parameters

i	Index of the integration point at cubature rule (the sequence is not important)
pos	Vector (3d) to get the coordinates of the point at master element.
w	It gets the weight related with integration point.

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, TPZInt1d, and TPZIntQuadQuarterPoint.

Referenced by TPZCompElDisc::AccumulateIntegrationRule(), TPZInterpolatedElement::AdjustPreferredSideOrder(), TPZGeoElSide::Area(), TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZCompElDisc::BuildTransferMatrix(), TPZInterpolatedElement::CalcIntegral(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), TPZInterpolationSpace::CalcResidual(), TPZInterfaceElement::CalcResidual(), TPZMultiphysicsCompEl< TGeometry >::CalcResidual(), TPZMultiphysicsInterfaceElement::CalcStiff(), TPZInterpolationSpace::CalcStiff(), TPZInterfaceElement::CalcStiff(), TPZMultiphysicsCompEl< TGeometry >::CalcStiff(), TPZInterpolatedElement::CheckElementConsistency(), TPZCheckGeom::CheckNeighbourMap(), TPZCheckRestraint::CheckRestraint(), TPZCheckGeom::CheckSideTransform(), TPZCheckGeom::CheckSubFatherTransform(), TPZInterpolatedElement::CompareElement(), CompareFluxes(), TPZInterpolationSpace::ComputeError(), TPZInterfaceElement::ComputeErrorFace(), TPZSBFemVolume::ComputeKMatrices(), TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), TPZRefPatternTools::ConstJacobian(), pzgeom::GPr< TFather, Topology >::Diagnostic(), TPZMGAnalysis::ElementError(), TPZMultiphysicsCompEl< TGeometry >::EvaluateError(), TPZInterpolationSpace::EvaluateError(), TPZSBFemVolume::EvaluateError(), TPZInterfaceElement::EvaluateInterfaceJump(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZGradientReconstruction::TPZGradientData::GetCenterPointAndCellAveraged(), TPZMathTools::IntegrateFunction(), TPZInterfaceElement::IntegrateInterface(), TPZMultiphysicsCompEl< TGeometry >::IntegrateSolution(), TPZInterpolationSpace::IntegrateSolution(), TPZCompEl::IntegrateSolution(), TPZInterpolationSpace::InterpolateSolution(), TPZInterpolatedElement::MeanSolution(), TPZInterpolationSpace::MinMaxSolutionValues(), Name(), TPZInterpolationSpace::ProjectFlux(), TPZInterpolatedElement::RestrainSide(), and TPZRefPatternTools::TransformationTest().

◆ Print()

void TPZIntPoints::Print ( std::ostream & out ) const

virtual

Prints information of the cubature rule.

Parameters

out	Ostream to print.

Reimplemented in TPZInt1d.

Definition at line 38 of file pzquad.cpp.

Referenced by pztopology::Pr< TFather >::Diagnostic(), TPZInterpolatedElement::Print(), TPZMultiphysicsCompEl< TGeometry >::Print(), and SetType().

◆ PrismExtend()

virtual TPZIntPoints* TPZIntPoints::PrismExtend ( int order )

pure virtual

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, and TPZInt1d.

Referenced by pztopology::Pr< TFather >::CreateSideIntegrationRule(), and Name().

◆ SetOrder()

virtual void TPZIntPoints::SetOrder	(	TPZVec< int > &	ord,
		int	type = `0`
	)

pure virtual

Sets the order of the cubature rule.

Parameters

ord	Vector of orders for each dimension, to reach a exactly integration for polinomial corresponding
type	Type of the integration rule, mainly important for 1d rules.

Implemented in TPZInt1Point, TPZIntPrism3D, TPZIntPyram3D, TPZIntTetra3D, TPZIntCube3D, TPZIntQuad, TPZIntTriang, TPZInt1d, and TPZIntQuadQuarterPoint.

Referenced by TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZInterfaceElement::CalcResidual(), TPZMultiphysicsCompEl< TGeometry >::CalcResidual(), TPZMultiphysicsCompEl< TGeometry >::CalcStiff(), TPZCheckRestraint::CheckRestraint(), TPZInterpolationSpace::ComputeError(), TPZInterfaceElement::ComputeErrorFace(), TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), TPZMGAnalysis::ElementError(), TPZMultiphysicsCompEl< TGeometry >::EvaluateError(), TPZInterpolationSpace::EvaluateError(), TPZSBFemVolume::EvaluateError(), TPZInterfaceElement::EvaluateInterfaceJump(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZMathTools::IntegrateFunction(), TPZInterfaceElement::IntegrateInterface(), TPZMultiphysicsCompEl< TGeometry >::IntegrateSolution(), TPZInterpolationSpace::InterpolateSolution(), TPZInterpolationSpace::MinMaxSolutionValues(), Name(), TPZCompElDisc::Read(), TPZSBFemVolume::SetIntegrationRule(), TPZMultiphysicsCompEl< TGeometry >::SetIntegrationRule(), and TPZRefPatternTools::TransformationTest().