A posteriori error estimation in the conforming finite element method based on its local conservativity and using local minimization

Abstract We present in this Note fully computable a posteriori error estimates allowing for accurate error control in the conforming finite element discretization of pure diffusion problems. The derived estimates are based on the local conservativity of the conforming finite element method on a dual grid associated with simplex vertices rather than directly on the Galerkin orthogonality. To cite this article: M. Vohralik, C. R. Acad. Sci. Paris, Ser. I 346 (2008).