Robust hierarchical a posteriori error estimators for stabilized convection–diffusion problems

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Abstract

We construct a hierarchical a posteriori error estimator for a stabilized finite element discretization of convection-diffusion equations with height Péclet number. The error estimator is derived without the saturation assumption and without any comparison with the classical residual estimator. Besides, it is robust, such that the equivalence between the norm of the exact error and the error estimator is independent of the meshsize or the diffusivity parameter. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2012

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