A posteriori error estimates for subgrid viscosity stabilized approximations of convection–diffusion equations☆

Abstract We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection–diffusion equations in the high Peclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Peclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.