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An exact Block-Newton algorithm for the solution of implicit time discretized coupled systems involved in fluid-structure interaction problems

Miguel Angel Fernández 1 Marwan Moubachir 2
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
2 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : In this Note, we introduce a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. The originality of this Schur-Newton algorithm lies in the exact Jacobians evaluation involving the fluid-structure linearized subsystems which are here fully developed.
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Journal articles
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https://hal.inria.fr/hal-00705112
Contributor : Miguel Angel Fernández <>
Submitted on : Wednesday, June 6, 2012 - 7:18:12 PM
Last modification on : Monday, October 12, 2020 - 2:28:02 PM

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Miguel Angel Fernández, Marwan Moubachir. An exact Block-Newton algorithm for the solution of implicit time discretized coupled systems involved in fluid-structure interaction problems. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2003, 336, pp.681-686. ⟨10.1016/S1631-073X(03)00151-1⟩. ⟨hal-00705112⟩

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