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Practical methods for a posteriori error estimation in engineering applications
Author(s) -
Prudhomme Serge,
Oden J. Tinsley,
Westermann Tim,
Bass Jon,
Botkin Mark E.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.609
Subject(s) - a priori and a posteriori , extension (predicate logic) , norm (philosophy) , error analysis , upper and lower bounds , computer science , work (physics) , mathematical optimization , algorithm , mathematics , displacement (psychology) , series (stratigraphy) , engineering , mechanical engineering , mathematical analysis , psychology , paleontology , philosophy , epistemology , political science , law , psychotherapist , programming language , biology
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.