Assessment of two a posteriori error estimators for elasticity problems

Ahmed H Elsheikh, S E Chidiac, S Smith

Research output: Contribution to journalArticle

Abstract

The main focus of this paper is on the evaluation of local a posteriori error estimation techniques for the finite element method (FEM). The standard error estimation techniques are presented for the coupled displacement fields appearing in elasticity problems. The two error estimators, the element residual method (ERM) and Zienkiewicz-Zhu (ZZ) patch recovery technique, are evaluated numerically and then used as drivers for a mesh adaptation process. The results demonstrate the advantages of employing a posteriori error estimators for obtaining finite element solutions with a pre-specified error tolerance. Of the two methods, the ERM is shown to produce adapted meshes that are similar to those adapted by the exact error. Furthermore, the ERM provides higher quality estimates of the error in the global energy norm when compared to the ZZ estimator.

Original languageEnglish
Pages (from-to)1239-1250
Number of pages12
JournalCanadian Journal of Civil Engineering
Volume35
Issue number11
DOIs
Publication statusPublished - Nov 2008

Keywords

  • A posteriori error estimation
  • Element residual method
  • Mesh adaptivity
  • Zienkiewicz-Zhu patch recovery

ASJC Scopus subject areas

  • Civil and Structural Engineering

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