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 (http://dx.doi.org/10.1002/nme.2799)
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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.
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Item type: Article ID code: 28099 Dates: DateEvent28 May 2010PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Mrs Carolynne Westwood Date deposited: 13 Oct 2010 12:58 Last modified: 08 Apr 2024 18:39 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/28099