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
Full text not available in this repository. (Request a copy from the Strathclyde author)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: | 12 Mar 2012 11:20 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/28099 |
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