Star-Based a Posteriori Error Estimates for Elliptic Problems |
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| Authors: | B. Achchab A. Agouzal N. Debit K. Bouihat |
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| Affiliation: | 1. LM2CE, Ecole Supérieure de Technologie de Berrechid et Faculté des Sciences Economiques, Juridiques et Sociales Settat, Université Hassan 1er, B.P 218, Berrechid, Morocco
2. Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622, Villeurbanne Cedex, France
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| Abstract: | We give an a posteriori error estimator for low order 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. |
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