pzshape::TPZShapeDisc Class Reference

Implements the shape functions discontinuous elements. Shape. More...

#include <TPZShapeDisc.h>

Public Types
enum	MShapeType { ETensorial, EOrdemTotal, ETensorialFull, EOrdemTotalFull }

Public Member Functions
	TPZShapeDisc ()
	TPZShapeDisc (const TPZShapeDisc &copy)
	~TPZShapeDisc ()

Static Public Member Functions
static void	Polynomial (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
	Polynomial shape function. More...
static void	PolynomialWithoutScale (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
static void	IntegratedLegendre (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
static void	Legendre (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
static void	ChebyshevWithoutScale (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
static void	LegendreWithoutScale (REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n=1)
static void	Shape (int dimension, REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, MShapeType type)
static void	Shape (int &dimension, int &degree, TPZVec< REAL > &qsi, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, MShapeType type)
	Computes the shape function set at the point qsi for dual space. More...
static int	NShapeF (int degree, int dimension, MShapeType type)
	Number of shapefunctions dependent on the dimension and order of interpolation. More...
static void	Shape0D (REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Discontinous polynomials of the line element. More...
static void	Shape1D (REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Discontinous polynomials of the line element. More...
static void	Shape2D (REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, MShapeType type)
	Discontinous bases of the two-dimensional elements. More...
static void	Shape2DFull (REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, MShapeType type)
	Discontinous bases of the two-dimensional elements with many derivatives! More...
static void	Shape3D (REAL C, TPZVec< REAL > &X0, TPZVec< REAL > &X, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, MShapeType type)
	Discontinous bases of the three-dimensional elements. More...

Static Public Attributes
static void(*	fOrthogonal )(REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n)
	Pointer to orthogonal function to use as shape function. More...

Detailed Description

Implements the shape functions discontinuous elements. Shape.

This class computes the shape functions for n-dimensional elements the shape functions can be tensor based or interpolation order based The Shape2dFull method also computes higher order derivatives

Definition at line 25 of file TPZShapeDisc.h.

Member Enumeration Documentation

MShapeType

enum pzshape::TPZShapeDisc::MShapeType

Enumerator
ETensorial
EOrdemTotal
ETensorialFull
EOrdemTotalFull

Definition at line 60 of file TPZShapeDisc.h.

Constructor & Destructor Documentation

TPZShapeDisc() [1/2]

pzshape::TPZShapeDisc::TPZShapeDisc

(

)

Definition at line 21 of file TPZShapeDisc.cpp.

TPZShapeDisc() [2/2]

pzshape::TPZShapeDisc::TPZShapeDisc

(

const TPZShapeDisc &

copy

)

Definition at line 25 of file TPZShapeDisc.cpp.

~TPZShapeDisc()

pzshape::TPZShapeDisc::~TPZShapeDisc

(

)

Definition at line 29 of file TPZShapeDisc.cpp.

Member Function Documentation

ChebyshevWithoutScale()

void pzshape::TPZShapeDisc::ChebyshevWithoutScale ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Definition at line 182 of file TPZShapeDisc.cpp.

References DebugStop, IsZero(), and TPZFMatrix< TVar >::Redim().

IntegratedLegendre()

void pzshape::TPZShapeDisc::IntegratedLegendre ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Definition at line 34 of file TPZShapeDisc.cpp.

References DebugStop, IsZero(), pow(), and TPZFMatrix< TVar >::Redim().

Legendre()

void pzshape::TPZShapeDisc::Legendre ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Definition at line 160 of file TPZShapeDisc.cpp.

References DebugStop, IsZero(), pow(), TPZMatrix< TVar >::Put(), TPZFMatrix< TVar >::Redim(), and val().

LegendreWithoutScale()

void pzshape::TPZShapeDisc::LegendreWithoutScale ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Definition at line 197 of file TPZShapeDisc.cpp.

References DebugStop, IsZero(), and TPZFMatrix< TVar >::Redim().

NShapeF()

int pzshape::TPZShapeDisc::NShapeF ( int  degree, int  dimension, MShapeType  type  )

static

Number of shapefunctions dependent on the dimension and order of interpolation.

Definition at line 498 of file TPZShapeDisc.cpp.

References PZError.

Referenced by TPZCompElHDivPressure< TSHAPE >::NConnectShapeF(), TPZCompElHDivPressureBound< TSHAPE >::NConnectShapeF(), TPZCompElHDivPressure< TSHAPE >::Shape(), TPZCompElHDivPressure< TSHAPE >::TPZCompElHDivPressure(), and TPZCompElHDivPressureBound< TSHAPE >::TPZCompElHDivPressureBound().

Polynomial()

void pzshape::TPZShapeDisc::Polynomial ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Polynomial shape function.

Parameters

C	normalizing constant, it provided by the discontinous element
x0	interior point of the deformed element, it can be, for example, the center of mass of the element
x	coordinate of the point
degree	degree of interpolation of the element
phi	shapefunction values
dphi	values of the derivatives of the shape functions
n	number of derivatives to be computed

Definition at line 96 of file TPZShapeDisc.cpp.

References DebugStop, degree(), IsZero(), PZError, TPZFMatrix< TVar >::Redim(), and val().

PolynomialWithoutScale()

void pzshape::TPZShapeDisc::PolynomialWithoutScale ( REAL  C, REAL  x0, REAL  x, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, int  n = 1  )

static

Definition at line 128 of file TPZShapeDisc.cpp.

References DebugStop, degree(), IsZero(), PZError, TPZFMatrix< TVar >::Redim(), and val().

Shape() [1/2]

void pzshape::TPZShapeDisc::Shape ( int  dimension, REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, MShapeType  type  )

static

Definition at line 211 of file TPZShapeDisc.cpp.

References DebugStop, and PZError.

Referenced by TPZCompElHDivPressure< TSHAPE >::Shape(), and TPZCompElHDivPressure< TSHAPE >::ShapeDual().

Shape() [2/2]

void pzshape::TPZShapeDisc::Shape ( int &  dimension, int &  degree, TPZVec< REAL > &  qsi, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, MShapeType  type  )

static

Computes the shape function set at the point qsi for dual space.

Parameters

dimension	dimension of element
degree	degree of polynomial
qsi	point in master element coordinates
phi	vector of values of shapefunctions, dimension (numshape,1)
dphi	matrix of derivatives of shapefunctions, dimension (dim,numshape)
type	type of polinomial space

Definition at line 242 of file TPZShapeDisc.cpp.

References DebugStop.

Shape0D()

void pzshape::TPZShapeDisc::Shape0D ( REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi  )

static

Discontinous polynomials of the line element.

Definition at line 262 of file TPZShapeDisc.cpp.

References DebugStop, TPZFMatrix< TVar >::PutVal(), PZError, and TPZFMatrix< TVar >::Redim().

Shape1D()

void pzshape::TPZShapeDisc::Shape1D ( REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi  )

static

Discontinous polynomials of the line element.

Definition at line 274 of file TPZShapeDisc.cpp.

Shape2D()

void pzshape::TPZShapeDisc::Shape2D ( REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, MShapeType  type  )

static

Discontinous bases of the two-dimensional elements.

Definition at line 284 of file TPZShapeDisc.cpp.

References degree(), PZError, TPZFMatrix< TVar >::Redim(), and TPZFMatrix< TVar >::Zero().

Shape2DFull()

void pzshape::TPZShapeDisc::Shape2DFull ( REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, MShapeType  type  )

static

Discontinous bases of the two-dimensional elements with many derivatives!

Definition at line 447 of file TPZShapeDisc.cpp.

References PZError, TPZFMatrix< TVar >::Redim(), and TPZFMatrix< TVar >::Zero().

Shape3D()

void pzshape::TPZShapeDisc::Shape3D ( REAL  C, TPZVec< REAL > &  X0, TPZVec< REAL > &  X, int  degree, TPZFMatrix< REAL > &  phi, TPZFMatrix< REAL > &  dphi, MShapeType  type  )

static

Discontinous bases of the three-dimensional elements.

Definition at line 390 of file TPZShapeDisc.cpp.

References TPZFMatrix< TVar >::Redim(), and TPZFMatrix< TVar >::Zero().

Member Data Documentation

fOrthogonal

void(* pzshape::TPZShapeDisc::fOrthogonal)(REAL C, REAL x0, REAL x, int degree, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int n)

static

Pointer to orthogonal function to use as shape function.

Note

UseOrthoShape = 1 means it will be used Legendre polynomial as shape function.

Since

Mar 31, 2004

Definition at line 56 of file TPZShapeDisc.h.

Referenced by TPZCompElDisc::SetOrthogonalFunction().

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

• Shape/TPZShapeDisc.h
• Shape/TPZShapeDisc.cpp