In this paper, the convergence of a Neumann-Dirichlet algorithm to approximate Coulomb's contact problem between two elastic bodies is proved in a continuous setting. In this algorithm, the natural interface between the two bodies is retained as a decomposition zone.
Keywords: domain decomposition methods, contact problems, convergence
@article{M2AN_2008__42_2_243_0, author = {Bayada, Guy and Sabil, Jalila and Sassi, Taoufik}, title = {Convergence of a {Neumann-Dirichlet} algorithm for two-body contact problems with non local {Coulomb's} friction law}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {243--262}, publisher = {EDP-Sciences}, volume = {42}, number = {2}, year = {2008}, doi = {10.1051/m2an:2008003}, mrnumber = {2405147}, zbl = {1133.74042}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2008003/} }
TY - JOUR AU - Bayada, Guy AU - Sabil, Jalila AU - Sassi, Taoufik TI - Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2008 SP - 243 EP - 262 VL - 42 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2008003/ DO - 10.1051/m2an:2008003 LA - en ID - M2AN_2008__42_2_243_0 ER -
%0 Journal Article %A Bayada, Guy %A Sabil, Jalila %A Sassi, Taoufik %T Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law %J ESAIM: Modélisation mathématique et analyse numérique %D 2008 %P 243-262 %V 42 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2008003/ %R 10.1051/m2an:2008003 %G en %F M2AN_2008__42_2_243_0
Bayada, Guy; Sabil, Jalila; Sassi, Taoufik. Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law. ESAIM: Modélisation mathématique et analyse numérique, Volume 42 (2008) no. 2, pp. 243-262. doi : 10.1051/m2an:2008003. http://www.numdam.org/articles/10.1051/m2an:2008003/
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