Defines a pure Galerkin variational form of a scalar PDE. More...

#include <Galeri_GalerkinVariational.h>

Inheritance diagram for Galeri::FiniteElements::GalerkinVariational< T >:

Collaboration diagram for Galeri::FiniteElements::GalerkinVariational< T >:

Public Member Functions
	GalerkinVariational (const int NumQuadratureNodes, double(diff)(const double &, const double &, const double &), double(source)(const double &, const double &, const double &), double(force)(const double &, const double &, const double &), double(bc)(const double &, const double &, const double &, const int &), int(*bc_type)(const int &))
	Constructor.

	~GalerkinVariational ()
	Destructor.

double	diff (const double x, const double y, const double z) const
	Evaluates the diffusion coefficient at point (x, y, z).

double	source (const double x, const double y, const double z) const
	Evaluates the source term at point (x, y, z).

double	force (const double x, const double y, const double z) const
	Evaluates the force term at point (x, y, z).

virtual int	IntegrateOverElement (const AbstractVariational &Variational, const double x, const double y, const double z, const double data, double ElementMatrix, double ElementRHS) const
	Integrates the variational form and the right-hand side.

virtual int	ElementNorm (const double LocalSol, const double x, const double y, const double z, double *Norm) const
	Computes the norm of the numerical solution over an element.

virtual int	ElementNorm (int(ExactSolution)(double, double, double, double ), const double x, const double y, const double z, double Norm) const
	Computes the norm of the exact solution over an element.

virtual int	ElementNorm (const double LocalSol, int(ExactSolution)(double, double, double, double ), const double x, const double y, const double z, double *Norm) const
	Computes the norm of the error over an element.

double	LHS (const double Phi, const double Psi, const double PhiX, const double PsiX, const double PhiY, const double PsiY, const double PhiZ, const double PsiZ, const double x, const double y, const double z) const
	Evaluates the left-hand side at point (x, y, z).

double	RHS (const double Psi, const double PsiX, const double PsiY, const double PsiZ, const double x, const double y, const double z) const
	Evaluates the right-hand side at point (x, y, z).

int	BC (const int PatchID) const
	Returns the boundary condition type of the specified patch.

double	BC (const double x, const double y, const double z, const int PatchID) const
	Returns the value of the boundary condition at point (x, y, z).

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

Detailed Description

template<class T>
class Galeri::FiniteElements::GalerkinVariational< T >

Defines a pure Galerkin variational form of a scalar PDE.

This class defines a pure Galerkin variational form of a second order, symmetric scalar PDE, discretized using Lagrange finite elements. The class is templated with an AbstractQuadrature class, which will be used to specify the quadrature formula, and the values of test and basis functions at the quadrature node. The constructor requires function pointers, that specify the values of the coefficients.

Author: Marzio Sala, SNL 9214.

Date: Last updated on Apr-05.

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

Galeri_GalerkinVariational.h

Public Member Functions

Detailed Description

template<class T> class Galeri::FiniteElements::GalerkinVariational< T >

template<class T>
class Galeri::FiniteElements::GalerkinVariational< T >