Geodesic
Domain decomposition based Newton methods for fluid-structure interaction problems
Miguel Ángel Fernández1 ; Jean-Frédéric Gerbeau1 ; Antoine Gloria2, 3 ; 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
ESAIM. Proceedings, Tome 22 (2008), pp. 67-82.

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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.
DOI : 10.1051/proc:072206

Miguel Ángel Fernández 1 ; Jean-Frédéric Gerbeau 1 ; Antoine Gloria 2, 3 ; Marina Vidrascu 4

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 
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     author = {Miguel \'Angel Fern\'andez and Jean-Fr\'ed\'eric Gerbeau and Antoine Gloria and Marina Vidrascu},
     title = {Domain decomposition based {Newton} methods for fluid-structure interaction problems},
     journal = {ESAIM. Proceedings},
     pages = {67--82},
     publisher = {mathdoc},
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     year = {2008},
     doi = {10.1051/proc:072206},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072206/}
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Miguel Ángel Fernández; Jean-Frédéric Gerbeau; Antoine Gloria; Marina Vidrascu. Domain decomposition based Newton methods for fluid-structure interaction problems. ESAIM. Proceedings, Tome 22 (2008), pp. 67-82. doi : 10.1051/proc:072206. http://geodesic.mathdoc.fr/articles/10.1051/proc:072206/

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