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Residual a posteriori error estimators for contact problems in elasticity

Published online by Cambridge University Press:  23 October 2007

Patrick Hild  and
Serge Nicaise
Patrick Hild
Affiliation:
Université de Franche-Comté, Laboratoire de Mathématiques de Besançon, CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France. hild@math.univ-fcomte.fr
Serge Nicaise
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, 59313 Valenciennes Cedex 9, France. snicaise@univ-valenciennes.fr
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Abstract

This paper is concerned with the unilateral contact problem in linear elasticity. We define two a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite element approximation of the contact problem.Upper and lower bounds of the discretization error are proved forboth estimators and several computations are performed toillustrate the theoretical results.

Keywords

Mixed finite element methoda posteriori error estimatesresidualsunilateral contact.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 41 , Issue 5 , September 2007 , pp. 897 - 923
Copyright
© EDP Sciences, SMAI, 2007

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