Una Formulación Petrov-Galerkin para la Ecuación de Reacción-Advección-Difusión

Abstract

A discretization scheme based on a Petrov-Galerkin formulation for the reaction-advectiondifusion problem is presented. The scheme exhibits superconvergence (exact nodal values) for a restricted class of one-dimensional problems, in the same way as SUPG does' when the
upwind parameter is chosen according to the "magic function". Moreover, these results are extended to systems of equations, as the equations governing the Eckmann layer, for instance.
Numerical examples for one- and bidimensional scalar problems are preselited, as well as for systems in the context of the Eckmann layer problem.