Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law

Guy Bayada; Jalila Sabil; Taoufik Sassi

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

  • Volume: 42, Issue: 2, page 243-262
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Bayada, Guy, Sabil, Jalila, and Sassi, Taoufik. "Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law." ESAIM: Mathematical Modelling and Numerical Analysis 42.2 (2008): 243-262. <http://eudml.org/doc/250365>.

@article{Bayada2008,
abstract = { 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. },
author = {Bayada, Guy, Sabil, Jalila, Sassi, Taoufik},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Domain decomposition methods; contact problems; convergence.; domain decomposition; variational formulation},
language = {eng},
month = {3},
number = {2},
pages = {243-262},
publisher = {EDP Sciences},
title = {Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law},
url = {http://eudml.org/doc/250365},
volume = {42},
year = {2008},
}

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: Mathematical Modelling and Numerical Analysis
DA - 2008/3//
PB - EDP Sciences
VL - 42
IS - 2
SP - 243
EP - 262
AB - 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.
LA - eng
KW - Domain decomposition methods; contact problems; convergence.; domain decomposition; variational formulation
UR - http://eudml.org/doc/250365
ER -

References

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