A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operatorsReportar como inadecuado




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1 LPP - Laboratoire Paul Painlevé 2 SIMPAF - SImulations and Modeling for PArticles and Fluids LPP - Laboratoire Paul Painlevé, Inria Lille - Nord Europe 3 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes, EA 45

Abstract : In this paper, we consider a discretization method proposed by Wieners and Wohlmuth 26 see also 16 for second order operators, which is a coupling between a mixed method in a sub-domain and a standard Galerkin method in the remaining part of the domain. We perform an a posteriori error analysis of residual type of this method, by combining some arguments from a posteriori error analysis of Galerkin methods and mixed methods. The reliability and efficiency of the estimator are proved. Some numerical tests are presented and confirm the theoretical error bounds.





Autor: Emmanuel Creusé - Serge Nicaise -

Fuente: https://hal.archives-ouvertes.fr/



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