Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem

Olivier Goyon; Pascal Poullet

doi:10.1016/S0096-3003(96)00304-9

Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem

Olivier Goyon ¹ Pascal Poullet ²

1 Laboratoire d'Analyse Numérique d'Orsay

2 LAMIA - Laboratoire de Mathématiques Informatique et Applications

Abstract : In a previous work, one of the authors has studied a numerical treatment (by fully implicit discretizations) of a two-dimensional Navier-Stokes-like problem and has proved existence and convergence results for the resulting discretized systems with homogeneous Dirichlet boundary conditions. In this work, we propose some new preconditioned multilevel versions of inexact-Newton algorithms to solve these equations. We also develop another multilevel preconditioner for a nonlinear GMRES algorithm. All of the preconditioners are based on incremental unknowns formulations.

Type de document :

Article dans une revue

Applied Mathematics and Computation, Elsevier, 1997, pp.289-311. 〈10.1016/S0096-3003(96)00304-9〉

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

Liste complète des métadonnées

https://hal.univ-antilles.fr/hal-00770269
Contributeur : Pamphile Isch <>
Soumis le : vendredi 4 janvier 2013 - 20:56:39
Dernière modification le : mercredi 18 juillet 2018 - 20:11:27

Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem

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Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem

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107

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