in Titre de série : | SIAM journal on scientific computing, Vol. 17 No 1 | Titre : | Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations | Type de document : | articles et extraits | Auteurs : | Howard Elman, Auteur ; David Silvester, Auteur | Année de publication : | 1996 | Importance : | p. 33-46 | Langues : | Français (fre) | Mots-clés : | Navier–Stokes iterative methods preconditioners Krylov subspace | Résumé : | Discretization and linearization of the steady–state Navier-Stokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded independently of the mesh size used in the discretization. We confirm and supplement these analytic results with a series of numerical experiments indicating that Krylov subspace iterative methods for nonsymmetric systems display rates of convergence that are independent of the mesh parameter. In addition, we show that preconditioning costs can be kept small by using iterative methods for some intermediate steps performed by the preconditioner. | Périodicité : | Bimensuel |
in SIAM journal on scientific computing, Vol. 17 No 1. Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations [articles et extraits] / Howard Elman, Auteur ; David Silvester, Auteur . - 1996 . - p. 33-46. Langues : Français ( fre) Mots-clés : | Navier–Stokes iterative methods preconditioners Krylov subspace | Résumé : | Discretization and linearization of the steady–state Navier-Stokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded independently of the mesh size used in the discretization. We confirm and supplement these analytic results with a series of numerical experiments indicating that Krylov subspace iterative methods for nonsymmetric systems display rates of convergence that are independent of the mesh parameter. In addition, we show that preconditioning costs can be kept small by using iterative methods for some intermediate steps performed by the preconditioner. | Périodicité : | Bimensuel |
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