Residual a posteriori error estimators for contact problems in elasticity
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 41 (2007) no. 5, p. 897-923

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.

DOI : https://doi.org/10.1051/m2an:2007045
Classification:  65N30,  74M15
Keywords: 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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {5},
     year = {2007},
     pages = {897-923},
     doi = {10.1051/m2an:2007045},
     zbl = {1140.74024},
     mrnumber = {2363888},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2007__41_5_897_0}
}
Residual a posteriori error estimators for contact problems in elasticity. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 41 (2007) no. 5, pp. 897-923. doi : 10.1051/m2an:2007045. http://www.numdam.org/item/M2AN_2007__41_5_897_0/

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