Error estimators for advection-reaction-diffusion equations based on the solution of local problems

Authors:
Rodolfo Araya;Edwin Behrens;Rodolfo Rodríguez
Affiliations:
GI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile;Facultad de Ingeniería, Universidad Católica de la Santísima Concepción, Casilla 297, Concepción, Chile;GI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 2
Cited 0

An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

SIAM Journal on Numerical Analysis

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Abstract

This paper deals with a posteriori error estimates for advection-reaction-diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. These estimators are proved to be equivalent to the error, with equivalence constants eventually depending on the physical parameters. Numerical experiments illustrating the performance of this approach are reported.