Numerical Analysis
An exact Block–Newton algorithm for solving fluid–structure interaction problems
Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 681-686.

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.

Dans cette Note, nous nous intéressons à une méthode à partitions de type Newton pour la résolution de systèmes couplés non-linéaires intervenant dans l'approximation numérique des problèmes d'interaction fluide–structure. Cet algorithme utilise, de manière fondamentale, l'évaluation exacte des jacobiens construits à partir des sous-problèmes fluide–structure linéarisés dont nous fournissons la structure exacte.

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DOI: 10.1016/S1631-073X(03)00151-1
Fernández, Miguel Ángel 1; Moubachir, Marwan 2

1 École polytechnique fédérale de Lausanne, IACS, CH-1015 Lausanne, Switzerland
2 Laboratoire central des ponts et chaussées, 58, bd Lefebvre, 75732 Paris, France
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Fernández, Miguel Ángel; Moubachir, Marwan. An exact Block–Newton algorithm for solving fluid–structure interaction problems. Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 681-686. doi : 10.1016/S1631-073X(03)00151-1. http://www.numdam.org/articles/10.1016/S1631-073X(03)00151-1/

[1] Fernández, M.A.; Moubachir, M. Sensitivity analysis for an incompressible aeroelastic system, Math. Models Methods Appl. Sci., Volume 12 (2002) no. 8, pp. 1109-1130

[2] Le Tallec, P.; Mouro, J. Fluid structure interaction with large structural displacements, Comput. Methods Appl. Mech. Engrg., Volume 190 (2001) no. 24–25, pp. 3039-3067

[3] Steindorf, J.; Matthies, H.G. Numerical efficiency of different partitioned methods for fluid–structure interaction, Z. Angew. Math. Mech., Volume 80 (2000) no. 2, pp. 557-558

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