A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators
نویسندگان
چکیده
In this paper, we consider a discretization method proposed byWieners andWohlmuth [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.
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