TICAM Report 02-34 Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems
نویسندگان
چکیده
In this paper we analyse a sub-domain residual error estimator for finite element approximations of elliptic problems. It is obtained by solving local problems on patches of elements in weighted spaces and provides for an upper bound on the energy norm of the error when the local problems are solved in sufficiently enriched discrete spaces. A guaranteed lower bound on the error is also derived by a simple postprocess of the solutions to the local problems. Numerical tests show very good effectivity indices for both the upper and lower bounds and a strong reliability of this estimator even for coarse meshes.
منابع مشابه
Analysis of a Subdomain-based Error Estimator for Finite Element Approximations of Elliptic Problems
In this artide we analyze a subdomain residual error estimator for finite element approximations of elliptic problems, It is obtained by solving local problems on patches of elements in weighted spaces and provides an upper bound on the energy norm of the error when the local problems are solved in sufficiently enriched discrete spaces, A guaranteed lower bound on the elTor is also derived by a...
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