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Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations

dc.contributor.authorElman, Howard C.en_US
dc.contributor.authorSilvester, David J.en_US
dc.description.abstractDiscretization 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. (Also cross-referenced as UMIACS-TR-94-66)en_US
dc.format.extent818404 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3283en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-94-66en_US
dc.titleFast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equationsen_US
dc.typeTechnical Reporten_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US

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