Volume 32, pp. 76-89, 2008.

On the definition of the SUPG parameter

Petr Knobloch

Abstract

We consider the SUPG finite element method for two–dimensional steady scalar convection–diffusion equations and discuss a recently introduced definition of the SUPG stabilization parameter along outflow Dirichlet boundaries for problems containing interior layers.

Full Text (PDF) [442 KB]

Key words

convection–diffusion equations, singularly perturbed problems, boundary layers, spurious oscillations, streamline upwind/Petrov–Galerkin (SUPG) method, SOLD methods

AMS subject classifications

65N30

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