Star-based a posteriori error estimates for elliptic problems.
Résumé
We give an a posteriori error estimator for nonconforming finite element approximations of diffusion-reaction and Stokes problems, which relies on the solution of local problems on stars. It is proved to be equivalent to the energy error up to a data oscillation, without requiring Helmholtz decomposition of the error nor saturation assumption. Numerical experiments illustrate the good behavior and efficiency of this estimator for generic elliptic problems.
Origine : Fichiers produits par l'(les) auteur(s)
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