Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems

In this article 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 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. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 165–192, 2004


Published in:
Numerical Methods for Partial Differential Equations, 20, 2, 165–192
Year:
2004
Publisher:
Wiley-Blackwell
ISSN:
0749-159X
Keywords:
Laboratories:


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 Record created 2012-07-30, last modified 2018-01-28

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