Publication: An Assessment of Two Local A Posteriori Error Estimators for the Finite Element Method

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Title	An Assessment of Two Local A Posteriori Error Estimators for the Finite Element Method
Authors/Editors*	Ahmed H. ElSheikh, Samir E. Chidiac and W. Spencer Smith
Where published*	Canadian Journal of Civil Engineering
How published*	Journal
Year*	2008
Volume	Accepted
Number	0
Pages	37pp
Publisher	xxxxx
Keywords
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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.