TPZIntRuleP3D Class Reference

Integration rule for pyramid. Numerical Integration. More...

#include <tpzintrulep3d.h>

Collaboration diagram for TPZIntRuleP3D:

Public Types
enum	{ NRULESPYRAMID_ORDER }

Public Member Functions
	TPZIntRuleP3D (const TPZIntRuleP3D &copy)
TPZIntRuleP3D &	operator= (const TPZIntRuleP3D &copy)
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 ()
	return the order of the polynomial order that can be integrated More...
void	Print (std::ostream &out=std::cout)
	Prints the number of integration points, all points and weights (as one dimension) More...

Protected Member Functions
int	ComputingCubatureRuleForPyramid (int order)
	Computes the points and weights for pyramid cubature rule as first version of PZ. More...

Private Member Functions
	TPZIntRuleP3D (int &order)
	Constructor of cubature rule for pyramid. More...
	~TPZIntRuleP3D ()
	Default destructor. More...

Private Attributes
int	fNumInt
	Number of integration points for this object. More...
TPZVec< long double >	fLocationKsi
	Location of the integration point Ksi. More...
TPZVec< long double >	fLocationEta
	Location of the integration point Eta. More...
TPZVec< long double >	fLocationZeta
	Location of the integration point ZEta. More...
TPZVec< 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 pyramid. 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 tpzintrulep3d.h.

Member Enumeration Documentation

anonymous enum

anonymous enum

Enumerator
NRULESPYRAMID_ORDER

Definition at line 63 of file tpzintrulep3d.h.

Constructor & Destructor Documentation

TPZIntRuleP3D() [1/2]

TPZIntRuleP3D::TPZIntRuleP3D ( int &  order )

private

Constructor of cubature rule for pyramid.

Parameters

order

Order of the polinomial will be integrated exactly with this cubature rule

Definition at line 17 of file tpzintrulep3d.cpp.

~TPZIntRuleP3D()

TPZIntRuleP3D::~TPZIntRuleP3D ( )

private

Default destructor.

Definition at line 30 of file tpzintrulep3d.cpp.

TPZIntRuleP3D() [2/2]

TPZIntRuleP3D::TPZIntRuleP3D ( const TPZIntRuleP3D &  copy )

inline

Definition at line 46 of file tpzintrulep3d.h.

Member Function Documentation

ComputingCubatureRuleForPyramid()

int TPZIntRuleP3D::ComputingCubatureRuleForPyramid ( int  order )

protected

Computes the points and weights for pyramid cubature rule as first version of PZ.

Parameters

order

Order of the polinomial will be integrated exactly with this cubature rule

Computes the points and weights for Pyramid quadrature rule order is the degree of the polinomial will be integrated exactly with this cubature rule

Computing the rule for Legender format to use for find the integration points at plane z = cte measure of the plane (1-z)^2

Computing the rule to jacobi format

Redimension of the weights to take a volume of the pyramid

Definition at line 72 of file tpzintrulep3d.cpp.

References TPZGaussRule::ComputingGaussJacobiQuadrature(), TPZGaussRule::ComputingGaussLegendreQuadrature(), and TPZVec< T >::Resize().

Referenced by Order().

Loc()

void TPZIntRuleP3D::Loc	(	int	i,
		TPZVec< REAL > &	pos
	)		const

Returns location of the ith point.

Definition at line 38 of file tpzintrulep3d.cpp.

References PZError.

Referenced by NInt().

NInt()

int TPZIntRuleP3D::NInt ( ) const

inline

Returns number of integration points.

Definition at line 66 of file tpzintrulep3d.h.

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

operator=()

TPZIntRuleP3D& TPZIntRuleP3D::operator= ( const TPZIntRuleP3D &  copy )

inline

Definition at line 52 of file tpzintrulep3d.h.

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

Order()

int TPZIntRuleP3D::Order ( )

inline

return the order of the polynomial order that can be integrated

Definition at line 75 of file tpzintrulep3d.h.

References ComputingCubatureRuleForPyramid(), fOrder, and Print().

Referenced by TPZIntPyram3D::SetOrder(), and TPZIntPyram3D::TPZIntPyram3D().

Print()

void TPZIntRuleP3D::Print

(

std::ostream &

out = std::cout

)

Prints the number of integration points, all points and weights (as one dimension)

Definition at line 141 of file tpzintrulep3d.cpp.

Referenced by Order().

W()

REAL TPZIntRuleP3D::W

(

int

i

)

const

Returns weight for the ith point.

Definition at line 50 of file tpzintrulep3d.cpp.

References 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 tpzintrulep3d.h.

Member Data Documentation

fLocationEta

TPZVec<long double> TPZIntRuleP3D::fLocationEta

private

Location of the integration point Eta.

Definition at line 27 of file tpzintrulep3d.h.

Referenced by operator=().

fLocationKsi

TPZVec<long double> TPZIntRuleP3D::fLocationKsi

private

Location of the integration point Ksi.

Definition at line 25 of file tpzintrulep3d.h.

Referenced by operator=().

fLocationZeta

TPZVec<long double> TPZIntRuleP3D::fLocationZeta

private

Location of the integration point ZEta.

Definition at line 29 of file tpzintrulep3d.h.

Referenced by operator=().

fNumInt

int TPZIntRuleP3D::fNumInt

private

Number of integration points for this object.

Definition at line 23 of file tpzintrulep3d.h.

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

fOrder

int TPZIntRuleP3D::fOrder

private

polynomial order of the integration rule

Definition at line 33 of file tpzintrulep3d.h.

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

fWeight

TPZVec<long double> TPZIntRuleP3D::fWeight

private

Weight of the integration point.

Definition at line 31 of file tpzintrulep3d.h.

Referenced by operator=().

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

• Integral/tpzintrulep3d.h
• Integral/tpzintrulep3d.cpp