Practical methods for a posteriori error estimation in engineering applications

Serge Prudhomme*, J. Tinsley Oden, Tim Westermann, Jon Bass, Mark E. Botkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1193-1224
Number of pages32
JournalInternational Journal for Numerical Methods in Engineering
Volume56
Issue number8
DOIs
StatePublished - Feb 28 2003
Externally publishedYes

Keywords

  • Dual problem
  • Goal-oriented error estimation
  • Linear elasticity
  • Quantity of interest
  • Upper and lower bounds

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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