Dans cette Note, nous proposons et nous démontrons la convergence d'un algorithme de décomposition de domaine de type Neumann–Dirichlet. Celui-ci permet d'approcher un problème de contact unilatéral sans frottement entre deux matériaux élastiques en gardant les interfaces (physiques) de contact comme interfaces (numériques) de décomposition. L'idée est de remplacer dans l'approche proposée par [4], le problème de Dirichlet par une inéquation variationnelle.
In this Note, we propose and we prove the convergence of a Neumann–Dirichlet algorithm in order to approximate a Signorini problem between two elastic bodies. The idea is to retain the natural interface between the two bodies as numerical interface for the domain decomposition and to replace the Dirichlet problem in [4] by a variational inequality.
Révisé le :
Publié le :
Guy Bayada 1, 2 ; Jalila Sabil 1 ; Taoufik Sassi 1
@article{CRMATH_2002__335_4_381_0,
author = {Guy Bayada and Jalila Sabil and Taoufik Sassi},
title = {Algorithme de {Neumann{\textendash}Dirichlet} pour des probl\`emes de contact unilat\'eral : {R\'esultat} de convergence},
journal = {Comptes Rendus. Math\'ematique},
pages = {381--386},
publisher = {Elsevier},
volume = {335},
number = {4},
year = {2002},
doi = {10.1016/S1631-073X(02)02488-3},
language = {fr},
}
TY - JOUR AU - Guy Bayada AU - Jalila Sabil AU - Taoufik Sassi TI - Algorithme de Neumann–Dirichlet pour des problèmes de contact unilatéral : Résultat de convergence JO - Comptes Rendus. Mathématique PY - 2002 SP - 381 EP - 386 VL - 335 IS - 4 PB - Elsevier DO - 10.1016/S1631-073X(02)02488-3 LA - fr ID - CRMATH_2002__335_4_381_0 ER -
%0 Journal Article %A Guy Bayada %A Jalila Sabil %A Taoufik Sassi %T Algorithme de Neumann–Dirichlet pour des problèmes de contact unilatéral : Résultat de convergence %J Comptes Rendus. Mathématique %D 2002 %P 381-386 %V 335 %N 4 %I Elsevier %R 10.1016/S1631-073X(02)02488-3 %G fr %F CRMATH_2002__335_4_381_0
Guy Bayada; Jalila Sabil; Taoufik Sassi. Algorithme de Neumann–Dirichlet pour des problèmes de contact unilatéral : Résultat de convergence. Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 381-386. doi : 10.1016/S1631-073X(02)02488-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02488-3/
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