| Issue |
ESAIM: M2AN
Volume 41, Number 5, September-October 2007
|
|
|---|---|---|
| Page(s) | 897 - 923 | |
| DOI | https://doi.org/10.1051/m2an:2007045 | |
| Published online | 23 October 2007 | |
Residual a posteriori error estimators for contact problems in elasticity
1
Université de Franche-Comté,
Laboratoire de Mathématiques de Besançon, CNRS UMR 6623,
16 route de Gray, 25030 Besançon, France.
hild@math.univ-fcomte.fr
2
Université de Valenciennes et du Hainaut Cambrésis,
MACS, ISTV,
59313 Valenciennes Cedex 9, France. snicaise@univ-valenciennes.fr
Received:
26
September
2006
Revised:
17
April
2007
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 for both estimators and several computations are performed to illustrate the theoretical results.
Mathematics Subject Classification: 65N30 / 74M15
Key words: Mixed finite element method / a posteriori error estimates / residuals / unilateral contact.
© EDP Sciences, SMAI, 2007
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