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 0029-5981Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||finite element, elasticity, a posteriori error bounds, Mathematics, Applied Mathematics, Engineering(all), Numerical Analysis|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Mrs Carolynne Westwood|
|Date Deposited:||13 Oct 2010 12:58|
|Last modified:||27 Apr 2016 16:03|