Integration rule (points and weights) for triangles. Numerical Integration. More...

#include <tpzintrulet.h>

Collaboration diagram for TPZIntRuleT:

Public Types
enum	{ NRULESTRIANGLE_ORDER }

Public Member Functions
int	NInt () const
	Returns number of integration points. More...

void	Loc (int i, TPZVec< REAL > &pos) const
	Returns location of the ith point. More...

REAL	W (int i) const
	Return weight for the ith point. More...

int	Order () const
	Order associated with the integration rule. More...

Private Member Functions
	TPZIntRuleT (int order)
	Constructor of integration rule for triangle. More...

	TPZIntRuleT (const TPZIntRuleT &copy)

TPZIntRuleT &	operator= (const TPZIntRuleT &copy)

	~TPZIntRuleT ()
	Default destructor. More...

int	ComputingSymmetricCubatureRule (int order)
	Computes the cubature rules following the symmetric construction presented at Linbo Zhang article. More...

void	TransformBarycentricCoordInCartesianCoord (long double baryvec[], long double weightvec[])
	Transforms barycentric coordinates (3 component) of the point in triange in cartesian coordinates (2 component). More...

Private Attributes
int	fNumInt
	Number of integration points for this object. More...

TPZManVector< long double >	fLocationKsi
	Location of the integration point Ksi. More...

TPZManVector< long double >	fLocationEta
	Location of the integration point Eta. More...

TPZManVector< long double >	fWeight
	Weight of the integration point. More...

int	fOrder
	the polynomial order this integration rule can integrate More...

Friends
class	TPZIntRuleList
	The list can to access the constructor of the current class. More...

Detailed Description

Integration rule (points and weights) for triangles. Numerical Integration.

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

Definition at line 18 of file tpzintrulet.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
NRULESTRIANGLE_ORDER

Definition at line 72 of file tpzintrulet.h.

Constructor & Destructor Documentation

◆ TPZIntRuleT() [1/2]

TPZIntRuleT::TPZIntRuleT ( int order )

private

Constructor of integration rule for triangle.

Parameters

order Order of the polinomial will be exactly integrated.

Definition at line 10 of file tpzintrulet.cpp.

References ComputingSymmetricCubatureRule(), fOrder, NRULESTRIANGLE_ORDER, and PZError.

◆ TPZIntRuleT() [2/2]

TPZIntRuleT::TPZIntRuleT ( const TPZIntRuleT & copy )

inlineprivate

Definition at line 40 of file tpzintrulet.h.

◆ ~TPZIntRuleT()

TPZIntRuleT::~TPZIntRuleT ( )

private

Default destructor.

Definition at line 21 of file tpzintrulet.cpp.

References fLocationEta, fLocationKsi, fNumInt, fWeight, and TPZManVector< T, NumExtAlloc >::Resize().

Referenced by operator=().

Member Function Documentation

◆ ComputingSymmetricCubatureRule()

int TPZIntRuleT::ComputingSymmetricCubatureRule ( int order )

private

Computes the cubature rules following the symmetric construction presented at Linbo Zhang article.

Parameters

order Order of the polinomial will be exactly integrated.

Definition at line 640 of file tpzintrulet.cpp.

References fLocationEta, fLocationKsi, fNumInt, fWeight, PZError, QUAD_TRI_P10_pts, QUAD_TRI_P10_wts, QUAD_TRI_P11_pts, QUAD_TRI_P11_wts, QUAD_TRI_P12_pts, QUAD_TRI_P12_wts, QUAD_TRI_P13_pts, QUAD_TRI_P13_wts, QUAD_TRI_P14_pts, QUAD_TRI_P14_wts, QUAD_TRI_P15_pts, QUAD_TRI_P15_wts, QUAD_TRI_P16_pts, QUAD_TRI_P16_wts, QUAD_TRI_P17_pts, QUAD_TRI_P17_wts, QUAD_TRI_P18_pts, QUAD_TRI_P18_wts, QUAD_TRI_P19_pts, QUAD_TRI_P19_wts, QUAD_TRI_P1_pts, QUAD_TRI_P1_wts, QUAD_TRI_P20_pts, QUAD_TRI_P20_wts, QUAD_TRI_P21_pts, QUAD_TRI_P21_wts, QUAD_TRI_P2_pts, QUAD_TRI_P2_wts, QUAD_TRI_P3_pts, QUAD_TRI_P3_wts, QUAD_TRI_P4_pts, QUAD_TRI_P4_wts, QUAD_TRI_P5_pts, QUAD_TRI_P5_wts, QUAD_TRI_P6_pts, QUAD_TRI_P6_wts, QUAD_TRI_P7_pts, QUAD_TRI_P7_wts, QUAD_TRI_P8_pts, QUAD_TRI_P8_wts, QUAD_TRI_P9_pts, QUAD_TRI_P9_wts, TPZManVector< T, NumExtAlloc >::Resize(), and TransformBarycentricCoordInCartesianCoord().

Referenced by operator=(), and TPZIntRuleT().

◆ Loc()

void TPZIntRuleT::Loc	(	int	i,
		TPZVec< REAL > &	pos
	)		const

Returns location of the ith point.

Definition at line 30 of file tpzintrulet.cpp.

References fLocationEta, fLocationKsi, fNumInt, and PZError.

Referenced by NInt().

◆ NInt()

int TPZIntRuleT::NInt ( ) const

inline

Returns number of integration points.

Definition at line 75 of file tpzintrulet.h.

References fNumInt, Loc(), and W().

◆ operator=()

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

inlineprivate

Definition at line 46 of file tpzintrulet.h.

References ComputingSymmetricCubatureRule(), fLocationEta, fLocationKsi, fNumInt, fOrder, fWeight, TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT().

◆ Order()

int TPZIntRuleT::Order ( ) const

inline

Order associated with the integration rule.

Definition at line 84 of file tpzintrulet.h.

References fOrder.

Referenced by TPZIntTriang::SetOrder(), and TPZIntTriang::TPZIntTriang().

◆ TransformBarycentricCoordInCartesianCoord()

void TPZIntRuleT::TransformBarycentricCoordInCartesianCoord	(	long double	baryvec[],
		long double	weightvec[]
	)

private

Transforms barycentric coordinates (3 component) of the point in triange in cartesian coordinates (2 component).

Parameters

baryvec	Vector of barycentric coordinates (3 components) for each point
weightvec	Vector of weights related for each point in baryvec vector

Definition at line 719 of file tpzintrulet.cpp.

References fLocationEta, fLocationKsi, fNumInt, and fWeight.

Referenced by ComputingSymmetricCubatureRule(), and operator=().

◆ W()

REAL TPZIntRuleT::W ( int i ) const

Return weight for the ith point.

Definition at line 43 of file tpzintrulet.cpp.

References fNumInt, fWeight, and PZError.

Referenced by NInt().

Friends And Related Function Documentation

◆ TPZIntRuleList

friend class TPZIntRuleList

friend

The list can to access the constructor of the current class.

Definition at line 21 of file tpzintrulet.h.

Member Data Documentation

◆ fLocationEta

TPZManVector<long double> TPZIntRuleT::fLocationEta

private

Location of the integration point Eta.

Definition at line 28 of file tpzintrulet.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), operator=(), TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT().

◆ fLocationKsi

TPZManVector<long double> TPZIntRuleT::fLocationKsi

private

Location of the integration point Ksi.

Definition at line 26 of file tpzintrulet.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), operator=(), TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT().

◆ fNumInt

int TPZIntRuleT::fNumInt

private

Number of integration points for this object.

Definition at line 24 of file tpzintrulet.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), NInt(), operator=(), TransformBarycentricCoordInCartesianCoord(), W(), and ~TPZIntRuleT().

◆ fOrder

int TPZIntRuleT::fOrder

private

the polynomial order this integration rule can integrate

Definition at line 32 of file tpzintrulet.h.

Referenced by operator=(), Order(), and TPZIntRuleT().

◆ fWeight

TPZManVector<long double> TPZIntRuleT::fWeight

private

Weight of the integration point.

Definition at line 30 of file tpzintrulet.h.

Referenced by ComputingSymmetricCubatureRule(), operator=(), TransformBarycentricCoordInCartesianCoord(), W(), and ~TPZIntRuleT().

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

Integral/tpzintrulet.h
Integral/tpzintrulet.cpp

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZIntRuleT() [1/2]

◆ TPZIntRuleT() [2/2]

◆ ~TPZIntRuleT()

Member Function Documentation

◆ ComputingSymmetricCubatureRule()

◆ Loc()

◆ NInt()

◆ operator=()

◆ Order()

◆ TransformBarycentricCoordInCartesianCoord()

◆ W()

Friends And Related Function Documentation

◆ TPZIntRuleList

Member Data Documentation

◆ fLocationEta

◆ fLocationKsi

◆ fNumInt

◆ fOrder

◆ fWeight