A posteriori error estimation of residual type for anisotropic diffusion–convection–reaction problems

Abstract

This paper presents a robust a posteriori residual error estimator for diffusion–convection–reaction problems with anisotropic diffusion, approximated by a SUPG finite element method on isotropic or anisotropic meshes in R d , d = 2 or 3. The equivalence between the energy norm of the error and the residual error estimator is proved. Numerical tests confirm the theoretical results.