Quadrature formula on triangles. More...

#include <Galeri_TriangleQuadrature.h>

Inheritance diagram for Galeri::FiniteElements::TriangleQuadrature:

Collaboration diagram for Galeri::FiniteElements::TriangleQuadrature:

Public Member Functions
	TriangleQuadrature (const int NumQuadrNodes)
	Constructor. More...

	~TriangleQuadrature ()
	Deastructor.

void	ComputeJacobian (const int QuadrNode, const double x_triangle, const double y_triangle, const double *z_triangle) const
	Computes the Jacobian at the specified quadrature node.

void	ComputeQuadrNodes (const int ii, const double x, const double y, const double *z, double &xq, double &yq, double &zq) const
	Maps the quadrature nodes from the reference element to the actual one.

void	ComputeDerivatives (const int QuadrNode) const
	Computes the derivatives at the specified quadrature node.

double	QuadrWeight (const int QuadrNode) const
	Computes the weight at the specified quadrature node.

double	DetJacobian (const int QuadrNode) const
	Computes the determinant of the Jacobian matrix at the quadrature node.

double	Phi (const int i) const
	Returns the value of the i-th basis function on the reference element.

double	PhiX (const int i) const
	Returns the value of the x-derivative i-th basis function on the reference element.

double	PhiY (const int i) const
	Returns the value of the y-derivative i-th basis function on the reference element.

double	PhiZ (const int i) const
	Returns the value of the z-derivative i-th basis function on the reference element.

double	Psi (const int i) const
	Returns the value of the i-th test function on the reference element.

double	PsiX (const int i) const
	Returns the value of the z-derivative i-th test function on the reference element.

double	PsiY (const int i) const
	Returns the value of the y-derivative i-th test function on the reference element.

double	PsiZ (const int i) const
	Returns the value of the z-derivative i-th test function on the reference element.

int	NumQuadrNodes () const
	Returns the number of quadrature node per element.

int	NumPhiFunctions () const
	Returns the number of basis function on the reference element.

int	NumPsiFunctions () const
	Returns the number of test function on the reference element.

Public Member Functions inherited from Galeri::FiniteElements::AbstractQuadrature
virtual	~AbstractQuadrature ()
	Destructor.

Protected Attributes
int	NumQuadrNodes_

int	NumDimensions_

int	NumLocalNodes_

double	det_J_

Epetra_SerialDenseMatrix	J_

Epetra_SerialDenseMatrix	basis_rs_

Epetra_SerialDenseMatrix	basis_dr_

Epetra_SerialDenseMatrix	basis_ds_

Epetra_SerialDenseMatrix	basis_dt_

Epetra_SerialDenseVector	basis_xy_

Epetra_SerialDenseVector	basis_dx_

Epetra_SerialDenseVector	basis_dy_

Epetra_SerialDenseVector	basis_dz_

Epetra_SerialDenseVector	basis_rs_temp_

Epetra_SerialDenseVector	basis_dr_temp_

Epetra_SerialDenseVector	basis_ds_temp_

Epetra_SerialDenseVector	basis_dt_temp_

Epetra_SerialDenseVector	Weight_

Epetra_SerialDenseVector	qr_

Epetra_SerialDenseVector	qs_

Epetra_SerialDenseVector	qt_

Detailed Description

Quadrature formula on triangles.

Author: Marzio Sala, SNL 9214.; Last updated on Apr-05.

Constructor & Destructor Documentation

Galeri::FiniteElements::TriangleQuadrature::TriangleQuadrature ( const int NumQuadrNodes )

inline

Constructor.

Parameters

NumQuadrNodes - (In) Number of quadrature nodes per element. Valid choices are: 1, 3, 4, 7.

References NumQuadrNodes().

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

Galeri_TriangleQuadrature.h

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation