#include <QuadIsoparametric.h>

Inheritance diagram for TQuadIsoparametric:

Collaboration diagram for TQuadIsoparametric:

Public Member Functions
	TQuadIsoparametric ()

void	GetOrigFromRef (double eta, double xi, double &x, double &y)

void	GetOrigFromRef (int N_Points, double eta, double xi, double x, double y, double *absdetjk)

void	GetOrigFromRef (double ref, double orig)

void	GetRefFromOrig (double x, double y, double &eta, double &xi)

void	GetRefFromOrig (double orig, double ref)

void	GetOrigValues (BaseFunct2D BaseFunct, int N_Points, double xi, double eta, int N_Functs, QuadFormula2D formula)

void	GetOrigValues (int N_Sets, BaseFunct2D BaseFunct, int N_Points, double xi, double eta, QuadFormula2D formula, bool Needs2ndDer)

void	GetOrigValues (double xi, double eta, int N_BaseFunct, double uref, double uxiref, double uetaref, double uorig, double uxorig, double uyorig)

void	GetOrigValues (int joint, double zeta, int N_BaseFunct, double uref, double uxiref, double uetaref, double uorig, double uxorig, double uyorig)

void	SetCell (TBaseCell *cell)

void	SetApproximationOrder (int order)

void	SetQuadFormula (QuadFormula2D formula)

void	GetOuterNormal (int j, double zeta, double &n1, double &n2)

void	GetTangent (int j, double zeta, double &t1, double &t2)

double	GetVolume ()

void	GetOrigBoundFromRef (int joint, int N_Points, double zeta, double X, double *Y)

Public Member Functions inherited from TRefTrans2D
	TRefTrans2D ()

void	GetOrigFromRef (double eta, double xi, double &x, double &y)

void	GetOrigFromRef (double ref, double orig)

void	GetRefFromOrig (double x, double y, double &eta, double &xi)

void	GetRefFromOrig (double orig, double ref)

void	GetOrigValues (TBaseCell *cell)

double	GetVolume ()

virtual void	PiolaMapOrigFromRef (int N_Functs, double refD00, double origD00)

virtual void	PiolaMapOrigFromRef (int N_Functs, double refD10, double refD01, double origD10, double origD01)

Protected Attributes
double	x [4]

double	y [4]

double	xc0

double	xc1

double	xc2

double	xc3

double	yc0

double	yc1

double	yc2

double	yc3

int	N_AuxPoints

double	XDistance [MaxN_BaseFunctions2D]

double	YDistance [MaxN_BaseFunctions2D]

int	ApproximationOrder

double	FctValues [MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

double	XiDerValues [MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

double	EtaDerValues [MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

double	DoubleAux [MaxN_BaseFunctions2D]

int	IntAux [MaxN_BaseFunctions2D]

QuadFormula2D	QuadFormula

double *	XI

double *	ETA

double *	W

int	N_QuadPoints

Protected Attributes inherited from TRefTrans2D
TBaseCell *	Cell

Static Protected Attributes
static BaseFunct2D	BaseFunctFromOrder []

static FEDesc2D	FEDescFromOrder []

Additional Inherited Members
Static Public Member Functions inherited from TRefTrans2D
static RefTrans2D	FindRefTrans2D (int N_LocalUsedElements, FE2D *LocalUsedElements)

Detailed Description

reference transformations for Quadrangle

Constructor & Destructor Documentation

TQuadIsoparametric::TQuadIsoparametric ( )

constuctor

Member Function Documentation

void TQuadIsoparametric::GetOrigBoundFromRef	(	int	joint,
		int	N_Points,
		double *	zeta,
		double *	X,
		double *	Y
	)

transfer a set of boundary points from reference to original element

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void TQuadIsoparametric::GetOrigFromRef	(	double	xi,
		double	eta,
		double &	X,
		double &	Y
	)

transfer form reference element to original element

transfer from reference element to original element

void TQuadIsoparametric::GetOrigFromRef	(	int	N_Points,
		double *	xi,
		double *	eta,
		double *	X,
		double *	Y,
		double *	absdetjk
	)

transfer a set of points form reference to original element

transfer a set of points from reference to original element

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void TQuadIsoparametric::GetOrigFromRef	(	double *	ref,
		double *	orig
	)

transfer form reference element to original element

transfer from reference element to original element

void TQuadIsoparametric::GetOrigValues	(	BaseFunct2D	BaseFunct,
		int	N_Points,
		double *	xi,
		double *	eta,
		int	N_Functs,
		QuadFormula2D	formula
	)

calculate functions and derivatives from reference element to original element

void TQuadIsoparametric::GetOrigValues	(	int	N_Sets,
		BaseFunct2D *	BaseFuncts,
		int	N_Points,
		double *	xi,
		double *	eta,
		QuadFormula2D	formula,
		bool *	Needs2ndDer
	)

calculate functions and derivatives from reference element to original element, for all given elements

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void TQuadIsoparametric::GetOrigValues	(	double	xi,
		double	eta,
		int	N_BaseFunct,
		double *	uref,
		double *	uxiref,
		double *	uetaref,
		double *	uorig,
		double *	uxorig,
		double *	uyorig
	)

calculate functions and derivatives from reference element to original element

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void TQuadIsoparametric::GetOrigValues	(	int	joint,
		double	zeta,
		int	N_BaseFunct,
		double *	uref,
		double *	uxiref,
		double *	uetaref,
		double *	uorig,
		double *	uxorig,
		double *	uyorig
	)

calculate functions and derivatives from reference element to original element

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void TQuadIsoparametric::GetOuterNormal	(	int	j,
		double	zeta,
		double &	n1,
		double &	n2
	)

virtual

return outer normal vector

Implements TRefTrans2D.

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void TQuadIsoparametric::GetRefFromOrig	(	double	X,
		double	Y,
		double &	xi,
		double &	eta
	)

transfer from original element to reference element

void TQuadIsoparametric::GetRefFromOrig	(	double *	orig,
		double *	ref
	)

transfer from original element to reference element

void TQuadIsoparametric::GetTangent	(	int	j,
		double	zeta,
		double &	t1,
		double &	t2
	)

virtual

return tangent

Implements TRefTrans2D.

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double TQuadIsoparametric::GetVolume ( )

return volume of cell according to reference transformation

return volume of cell according to isoparametric boundary

void TQuadIsoparametric::SetApproximationOrder ( int order )

inline

set order of approximation

void TQuadIsoparametric::SetCell ( TBaseCell * cell )

virtual

set element to cell

Reimplemented from TRefTrans2D.

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void TQuadIsoparametric::SetQuadFormula ( QuadFormula2D formula )

inline

set used quadrature formula

Member Data Documentation

int TQuadIsoparametric::ApproximationOrder

protected

order of approximation

BaseFunct2D TQuadIsoparametric::BaseFunctFromOrder

staticprotected

Initial value:

= { 
                BF_C_Q_Q0_2D, BF_C_Q_Q1_2D, BF_C_Q_Q2_2D, BF_C_Q_Q3_2D,
                BF_C_Q_Q4_2D, BF_C_Q_Q5_2D, BF_C_Q_Q6_2D, BF_C_Q_Q7_2D,
                BF_C_Q_Q8_2D, BF_C_Q_Q9_2D }

base function type for each order of approximation

double TQuadIsoparametric::DoubleAux[MaxN_BaseFunctions2D]

protected

auxiliary array

double TQuadIsoparametric::EtaDerValues[MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

protected

eta-derivatives of corresponding base function at quadpoints

double TQuadIsoparametric::FctValues[MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

protected

values of corresponding base function at quadpoints

FEDesc2D TQuadIsoparametric::FEDescFromOrder

staticprotected

Initial value:

= { 
                FE_C_Q_Q0_2D, FE_C_Q_Q1_2D, FE_C_Q_Q2_2D, FE_C_Q_Q3_2D,
                FE_C_Q_Q4_2D, FE_C_Q_Q5_2D, FE_C_Q_Q6_2D, FE_C_Q_Q7_2D,
                FE_C_Q_Q8_2D, FE_C_Q_Q9_2D }

base function type for each order of approximation

int TQuadIsoparametric::IntAux[MaxN_BaseFunctions2D]

protected

auxiliary array

int TQuadIsoparametric::N_AuxPoints

protected

number of additional points

int TQuadIsoparametric::N_QuadPoints

protected

number of quadrature points

QuadFormula2D TQuadIsoparametric::QuadFormula

protected

used quadrature rule

double TQuadIsoparametric::x[4]

protected

x coordinate

double TQuadIsoparametric::xc0

protected

x parameters for reference transformation

double TQuadIsoparametric::XDistance[MaxN_BaseFunctions2D]

protected

distance in x direction between real auxiliary point and its position after a affine mapping

double* TQuadIsoparametric::XI

protected

for data from quadrature formula

double TQuadIsoparametric::XiDerValues[MaxN_QuadPoints_2D][MaxN_BaseFunctions2D]

protected

xi-derivatives of corresponding base function at quadpoints

double TQuadIsoparametric::y[4]

protected

y coordinate

double TQuadIsoparametric::yc0

protected

y parameters for reference transformation

double TQuadIsoparametric::YDistance[MaxN_BaseFunctions2D]

protected

distance in y direction between real auxiliary point and its position after a affine mapping

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

include/FE/QuadIsoparametric.h
src/FE/QuadIsoparametric.C

Public Member Functions

Protected Attributes

Static Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation