TPZIntRuleT3D Class Reference

Integration rule for tetrahedra. Numerical Integration. More...

#include <tpzintrulet3d.h>

Collaboration diagram for TPZIntRuleT3D:

Public Types
enum	{ NRULESTETRAHEDRA_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
	Returns weight for the ith point. More...
int	Order ()

Private Member Functions
	TPZIntRuleT3D (int i=2)
	Constructor of integration rule for tetrahedra. More...
	~TPZIntRuleT3D ()
	Default destructor. It delete the vector of points and weights. More...
	TPZIntRuleT3D (const TPZIntRuleT3D &copy)
TPZIntRuleT3D &	operator= (const TPZIntRuleT3D &copy)
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[])
	Transform barycentric coordinates of the point in tetrahedra by cartesian coordinates (3 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 >	fLocationZeta
	Location of the integration point Zeta. More...
TPZManVector< long double >	fWeight
	Weight of the integration point. More...
int	fOrder
	Polynomial order of the integration rule. More...

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

Detailed Description

Integration rule for tetrahedra. Numerical Integration.

Author

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

Definition at line 17 of file tpzintrulet3d.h.

Member Enumeration Documentation

anonymous enum

anonymous enum

Enumerator
NRULESTETRAHEDRA_ORDER

Definition at line 72 of file tpzintrulet3d.h.

Constructor & Destructor Documentation

TPZIntRuleT3D() [1/2]

TPZIntRuleT3D::TPZIntRuleT3D ( int  i = 2 )

private

Constructor of integration rule for tetrahedra.

Parameters

i	Order of the polinomial will be exactly integrated.

Definition at line 10 of file tpzintrulet3d.cpp.

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

~TPZIntRuleT3D()

TPZIntRuleT3D::~TPZIntRuleT3D ( )

private

Default destructor. It delete the vector of points and weights.

Definition at line 27 of file tpzintrulet3d.cpp.

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

TPZIntRuleT3D() [2/2]

TPZIntRuleT3D::TPZIntRuleT3D ( const TPZIntRuleT3D &  copy )

inlineprivate

Definition at line 43 of file tpzintrulet3d.h.

Member Function Documentation

ComputingSymmetricCubatureRule()

int TPZIntRuleT3D::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 447 of file tpzintrulet3d.cpp.

References fLocationEta, fLocationKsi, fLocationZeta, fNumInt, fWeight, PZError, QUAD_TETRAH_P10_pts, QUAD_TETRAH_P10_wts, QUAD_TETRAH_P11_pts, QUAD_TETRAH_P11_wts, QUAD_TETRAH_P12_pts, QUAD_TETRAH_P12_wts, QUAD_TETRAH_P13_pts, QUAD_TETRAH_P13_wts, QUAD_TETRAH_P14_pts, QUAD_TETRAH_P14_wts, QUAD_TETRAH_P1_pts, QUAD_TETRAH_P1_wts, QUAD_TETRAH_P2_pts, QUAD_TETRAH_P2_wts, QUAD_TETRAH_P3_pts, QUAD_TETRAH_P3_wts, QUAD_TETRAH_P4_pts, QUAD_TETRAH_P4_wts, QUAD_TETRAH_P5_pts, QUAD_TETRAH_P5_wts, QUAD_TETRAH_P6_pts, QUAD_TETRAH_P6_wts, QUAD_TETRAH_P7_pts, QUAD_TETRAH_P7_wts, QUAD_TETRAH_P8_pts, QUAD_TETRAH_P8_wts, QUAD_TETRAH_P9_pts, QUAD_TETRAH_P9_wts, TPZManVector< T, NumExtAlloc >::Resize(), and TransformBarycentricCoordInCartesianCoord().

Referenced by operator=(), and TPZIntRuleT3D().

Loc()

void TPZIntRuleT3D::Loc	(	int	i,
		TPZVec< REAL > &	pos
	)		const

Returns location of the ith point.

Definition at line 35 of file tpzintrulet3d.cpp.

References fLocationEta, fLocationKsi, fLocationZeta, fNumInt, and PZError.

Referenced by NInt().

NInt()

int TPZIntRuleT3D::NInt ( ) const

inline

Returns number of integration points.

Definition at line 75 of file tpzintrulet3d.h.

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

operator=()

TPZIntRuleT3D& TPZIntRuleT3D::operator= ( const TPZIntRuleT3D &  copy )

inlineprivate

Definition at line 48 of file tpzintrulet3d.h.

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

Order()

int TPZIntRuleT3D::Order ( )

inline

Definition at line 83 of file tpzintrulet3d.h.

References fOrder.

Referenced by TPZIntTetra3D::SetOrder(), and TPZIntTetra3D::TPZIntTetra3D().

TransformBarycentricCoordInCartesianCoord()

void TPZIntRuleT3D::TransformBarycentricCoordInCartesianCoord ( long double  baryvec[], long double  weightvec[]  )

private

Transform barycentric coordinates of the point in tetrahedra by cartesian coordinates (3 component).

Parameters

baryvec	Vector of barycentric coordinates (4 components) for each point
weightvec	Vector of weights related for each point in baryvec vector

Definition at line 507 of file tpzintrulet3d.cpp.

References fLocationEta, fLocationKsi, fLocationZeta, fNumInt, and fWeight.

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

W()

REAL TPZIntRuleT3D::W

(

int

i

)

const

Returns weight for the ith point.

Definition at line 18 of file tpzintrulet3d.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 20 of file tpzintrulet3d.h.

Member Data Documentation

fLocationEta

TPZManVector<long double> TPZIntRuleT3D::fLocationEta

private

Location of the integration point Eta.

Definition at line 27 of file tpzintrulet3d.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), operator=(), TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT3D().

fLocationKsi

TPZManVector<long double> TPZIntRuleT3D::fLocationKsi

private

Location of the integration point Ksi.

Definition at line 25 of file tpzintrulet3d.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), operator=(), TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT3D().

fLocationZeta

TPZManVector<long double> TPZIntRuleT3D::fLocationZeta

private

Location of the integration point Zeta.

Definition at line 29 of file tpzintrulet3d.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), operator=(), TransformBarycentricCoordInCartesianCoord(), and ~TPZIntRuleT3D().

fNumInt

int TPZIntRuleT3D::fNumInt

private

Number of integration points for this object.

Definition at line 23 of file tpzintrulet3d.h.

Referenced by ComputingSymmetricCubatureRule(), Loc(), NInt(), operator=(), TransformBarycentricCoordInCartesianCoord(), W(), and ~TPZIntRuleT3D().

fOrder

int TPZIntRuleT3D::fOrder

private

Polynomial order of the integration rule.

Definition at line 33 of file tpzintrulet3d.h.

Referenced by operator=(), Order(), and TPZIntRuleT3D().

fWeight

TPZManVector<long double> TPZIntRuleT3D::fWeight

private

Weight of the integration point.

Definition at line 31 of file tpzintrulet3d.h.

Referenced by ComputingSymmetricCubatureRule(), operator=(), TransformBarycentricCoordInCartesianCoord(), W(), and ~TPZIntRuleT3D().

---

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

• Integral/tpzintrulet3d.h
• Integral/tpzintrulet3d.cpp