A Dynamic Preconditioner for Newton-Krylov Algorithms: Application to Fluid-Structure Interaction

Simone Deparis Jean-Frédéric Gerbeau 1 Xavier Vasseur
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We consider linear and nonlinear convergence acceleration techniques in the framework of Newton or inexact Newton methods. The proposed procedure is based on a new dynamic preconditioner to be used in combination with the GMRES method for reducing the cost of solving a sequence of linear systems. A nonlinear convergence acceleration technique based on a previous work by Washio et al. is also added. The benefits of this combination of acceleration techniques is shown on fluid-structure interaction problems in haemodynamics for two- and three-dimensional applications.
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https://hal.inria.fr/inria-00070650
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Submitted on : Friday, May 19, 2006 - 9:07:01 PM
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  • HAL Id : inria-00070650, version 1

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Simone Deparis, Jean-Frédéric Gerbeau, Xavier Vasseur. A Dynamic Preconditioner for Newton-Krylov Algorithms: Application to Fluid-Structure Interaction. [Research Report] RR-5352, INRIA. 2004, pp.25. ⟨inria-00070650⟩

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