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Practical methods for a posteriori error estimation in engineering applications

2003; Wiley; Volume: 56; Issue: 8 Linguagem: Inglês

10.1002/nme.609

1097-0207

Serge Prudhomme, J. Tinsley Oden, T.A. Westermann, J. M. Bass, M. E. Botkin,

Model Reduction and Neural Networks

Abstract 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.