Practical methods for a posteriori error estimation in engineering applications

This work presents an extension of the goal‐oriented error estimation technique to the engineering analysis of three‐dimensional linear elastic bodies. In the series of examples shown, the errors are estimated with respect to local displacement and stress components. The paper also introduces novel...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2003-02, Vol.56 (8), p.1193-1224
Main Authors: Prudhomme, Serge, Oden, J. Tinsley, Westermann, Tim, Bass, Jon, Botkin, Mark E.
Format: Article
Language:English
Subjects:
dual problem
goal-oriented error estimation
linear elasticity
quantity of interest
upper and lower bounds
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Summary:This work presents an extension of the goal‐oriented error estimation technique to the engineering analysis of three‐dimensional linear elastic bodies. In the series of examples shown, the errors are estimated with respect to local displacement and stress components. The paper also introduces novel means to compute lower bounds on the error in the energy norm based on a cost‐effective postprocessing of the upper bound error estimates. The numerical results indicate that the method can be used effectively for complex engineering applications. Copyright © 2003 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.609