Galeri::FiniteElements::SUPGVariational< T > Class Template Reference

SUPG discretization of an advection-diffusion PDE. More...

#include <Galeri_SUPGVariational.h>

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

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

Public Member Functions
	SUPGVariational (const int NumQuadratureNodes, double(*diff)(const double &, const double &, const double &), double(*bx)(const double &, const double &, const double &), double(*by)(const double &, const double &, const double &), double(*bz)(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.
	~SUPGVariational ()
	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).
double	conv_x (const double x, const double y, const double z) const
	Evaluates the x-component of the convective term at point (x, y, z).
double	conv_y (const double x, const double y, const double z) const
	Evaluates the y-component of the convective term at point (x, y, z).
double	conv_z (const double x, const double y, const double z) const
	Evaluates the z-component of the convective 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 bilinear form and the right-hand side over the element.
virtual int	ElementNorm (const double *LocalSol, const double *x, const double *y, const double *z, double *Norm) const
	Computes the norm of the computed solution over the element.
virtual int	ElementNorm (int(*ExactSolution)(double, double, double, double *), const double *x, const double *y, const double *z, double *Norm) const
	Computed the norm of the exact solution over the 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
	Computed the norm of the computed and exact solution over the 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 bilinear form (without integral) 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
	Returns the value of the right-hand side (without integral) at point (x, y, z).
int	BC (const int PatchID) const
	Returns an integer identifying the boundary condition assigned to the specified patch.
double	BC (const double x, const double y, const double z, const int Patch) 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::SUPGVariational< T >

SUPG discretization of an advection-diffusion PDE.

This class performs the finite element discretization of a scalar, advection-diffusion PDE, using the SUPG stabilization and the coth formula for the definition of tau. This class works only with triangles and tetrahedra.

Author

Marzio Sala, SNL 9214.

Date

Last updated on Apr-05.

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

• Galeri_SUPGVariational.h