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Issue ESAIM: Proc.
Volume 22, 2008
CANUM 2006 - Congrès National d'Analyse Numérique
Page(s) 67 - 82
DOI http://dx.doi.org/10.1051/proc:072206
Published online 01 February 2008

ESAIM: Proc., 2008, Vol. 22, pp. 67-82
DOI: 10.1051/proc:072206

Domain decomposition based Newton methods for fluid-structure interaction problems

Miguel Ángel Fernández1, Jean-Frédéric Gerbeau1, Antoine Gloria2, 3 and Marina Vidrascu4

1  Project-team REO, INRIA Paris-Rocquencourt, 78153 Le Chesnay Cedex, France
2  CERMICS, Ecole Nationale des Ponts et Chaussées, 77455 Marne-la-Vallée, France
3  Project-teams REO & MICMAC, INRIA Paris-Rocquencourt, 78153 Le Chesnay Cedex, France
4  Project-team MACS, INRIA Paris-Rocquencourt, 78153 Le Chesnay Cedex, France


(... / Published online: 1 February 2008)

Abstract
We review various fluid-structure algorithms based on domain decomposition techniques and we propose a new one. The standard methods used in fluid-structure interaction problems are generally "nonlinear on subdomains". We propose a scheme based on the principle "linearize first, then decompose". In other words we extend to fluid-structure problems domain decomposition techniques classically used in nonlinear elasticity.


Résumé
Nous faisons une revue de divers algorithmes de couplage fluide-structure basés sur des techniques de décomposition de domaine et nous en proposons une nouvelle. Les méthodes classiquement utilisées en interaction fluide-structure sont généralement "non linéaires par sous-domaine". Le schéma que nous proposons est au contraire basé sur le principe "linéariser puis décomposer". Autrement dit, nous étendons aux problèmes d'interaction fluide-structure des techniques de décomposition de domaine classiquement utilisées en élasticité non linéaire.


Mathematics Subject Classification. 65M60, 74K25, 76D05, 76Z05

Key words: fluid-structure interaction, domain decomposition, partitioned schemes, Newton algorithm


© EDP Sciences, ESAIM 2007


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