| Issue |
ESAIM: M2AN
Volume 42, Number 2, March-April 2008
|
|
|---|---|---|
| Page(s) | 243 - 262 | |
| DOI | https://doi.org/10.1051/m2an:2008003 | |
| Published online | 27 March 2008 | |
Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law
1
INSA-LYON, CNRS UMR 5208, UMR 5514 Bâtiment Léonard de Vinci, 21
Av. J. Capelle, 69621 Villeurbanne Cedex, France. guy.bayada@insa-lyon.fr
2
Université Henri Poincaré, UFR STMP, Faculté des Sciences et Techniques, Laboratoire LEMTA B.P. 239, 54506 Vandœuvre-les-Nancy Cedex, France. Jalila.Sabil@lemta.uhp-nancy.fr
3
Laboratoire de Mathématiques Nicolas Oresme, LMNO CNRS UMR 6139, Université de Caen, Bd. Maréchal Juin, 14032 Caen Cedex, France. Taoufik.Sassi@math.unicaen.fr
Received:
23
December
2006
Revised:
12
September
2007
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.
Mathematics Subject Classification: 65N30 / 65N55 / 65K05
Key words: Domain decomposition methods / contact problems / convergence.
© EDP Sciences, SMAI, 2008
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