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Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity

Ainsworth, Mark and Rankin, R. (2010) Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity. International Journal for Numerical Methods in Engineering, 82 (9). pp. 1114-1157. ISSN 0029-5981

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Abstract

We obtain fully computable a posteriori error estimators for the energy norm of the error in second-order conforming and nonconforming finite element approximations in planar elasticity. These estimators are completely free of unknown constants and give a guaranteed numerical upper bound on the norm of the error. The estimators are shown to also provide local lower bounds, up to a constant and higher-order data oscillation terms. Numerical examples are presented illustrating the theory and confirming the effectiveness of the estimator.

Item type: Article
ID code: 28099
Keywords: finite element, elasticity, a posteriori error bounds, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Mrs Carolynne Westwood
Date Deposited: 13 Oct 2010 13:58
Last modified: 17 Jul 2013 10:02
URI: http://strathprints.strath.ac.uk/id/eprint/28099

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