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.
Mots-clés : mixed finite element method, a posteriori error estimates, residuals, unilateral contact
@article{M2AN_2007__41_5_897_0,
author = {Hild, Patrick and Nicaise, Serge},
title = {Residual a posteriori error estimators for contact problems in elasticity},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {897--923},
publisher = {EDP-Sciences},
volume = {41},
number = {5},
year = {2007},
doi = {10.1051/m2an:2007045},
mrnumber = {2363888},
zbl = {1140.74024},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an:2007045/}
}
TY - JOUR AU - Hild, Patrick AU - Nicaise, Serge TI - Residual a posteriori error estimators for contact problems in elasticity JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2007 SP - 897 EP - 923 VL - 41 IS - 5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an:2007045/ DO - 10.1051/m2an:2007045 LA - en ID - M2AN_2007__41_5_897_0 ER -
%0 Journal Article %A Hild, Patrick %A Nicaise, Serge %T Residual a posteriori error estimators for contact problems in elasticity %J ESAIM: Modélisation mathématique et analyse numérique %D 2007 %P 897-923 %V 41 %N 5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an:2007045/ %R 10.1051/m2an:2007045 %G en %F M2AN_2007__41_5_897_0
Hild, Patrick; Nicaise, Serge. Residual a posteriori error estimators for contact problems in elasticity. ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 5, pp. 897-923. doi : 10.1051/m2an:2007045. http://archive.numdam.org/articles/10.1051/m2an:2007045/
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