Galeri::FiniteElements::AbstractQuadrature Class Reference

Interfaces for quadrature over elements. More...

#include <Galeri_AbstractQuadrature.h>

Inheritance diagram for Galeri::FiniteElements::AbstractQuadrature:

Public Member Functions
virtual	~AbstractQuadrature ()
	Destructor.
virtual int	NumQuadrNodes () const =0
	Returns the number of quadrature node per element.
virtual int	NumPhiFunctions () const =0
	Returns the number of basis function on the reference element.
virtual int	NumPsiFunctions () const =0
	Returns the number of test function on the reference element.
virtual void	ComputeJacobian (const int QuadrNode, const double *x, const double *y, const double *z) const =0
	Computes the Jacobian at the specified quadrature node.
virtual void	ComputeQuadrNodes (const int QuadrNode, const double *x, const double *y, const double *z, double &xq, double &yq, double &zq) const =0
	Maps the quadrature nodes from the reference element to the actual one.
virtual void	ComputeDerivatives (const int QuadrNode) const =0
	Computes the derivatives at the specified quadrature node.
virtual double	QuadrWeight (const int QuadrNode) const =0
	Computes the weight at the specified quadrature node.
virtual double	DetJacobian (const int QuadrNode) const =0
	Computes the determinant of the Jacobian matrix at the quadrature node.
virtual double	Phi (const int i) const =0
	Returns the value of the i-th basis function on the reference element.
virtual double	PhiX (const int i) const =0
	Returns the value of the x-derivative i-th basis function on the reference element.
virtual double	PhiY (const int i) const =0
	Returns the value of the y-derivative i-th basis function on the reference element.
virtual double	PhiZ (const int i) const =0
	Returns the value of the z-derivative i-th basis function on the reference element.
virtual double	Psi (const int i) const =0
	Returns the value of the i-th test function on the reference element.
virtual double	PsiX (const int i) const =0
	Returns the value of the z-derivative i-th test function on the reference element.
virtual double	PsiY (const int i) const =0
	Returns the value of the y-derivative i-th test function on the reference element.
virtual double	PsiZ (const int i) const =0
	Returns the value of the z-derivative i-th test function on the reference element.

Detailed Description

Interfaces for quadrature over elements.

AbstractQuadrature is a pure virtual class that defines a set of abstract interfaces to basis and test functions (and their derivatives), and also furnishes all the tools required to numerically integrate over an element.

Author

Marzio Sala, SNL 9214.

Date

Last updated on Apr-05.

---

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

• Galeri_AbstractQuadrature.h