Ainsworth, Mark and Rankin, Richard Andrew Robert (2011) Realistic computable error bounds for three dimensional finite element analyses in linear elasticity. Computer Methods in Applied Mechanics and Engineering, 200 (21-22). pp. 1909-1926. ISSN 0045-7825
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Official URL: http://dx.doi.org/10.1016/j.cma.2011.01.017
Abstract
We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.
| Item type: | Article |
|---|---|
| ID code: | 37747 |
| Keywords: | finite element, elasticity, computable error bounds, Probabilities. Mathematical statistics |
| Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Pure Administrator |
| Date Deposited: | 20 Feb 2012 14:20 |
| Last modified: | 05 Oct 2012 07:59 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/37747 |
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