http://dx.doi.org/10.1016/j.jcp.2011.04.001">
 

Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

A relaxed dimensional factorization preconditioner for the incompressible navier-stokes equations

Language

English

Abstract

In this paper we introduce a Relaxed Dimensional Factorization (RDF) preconditioner for saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related Dimensional Splitting (DS) preconditioner recently introduced by Benzi and Guo [7]. Numerical results for a variety of finite element discretizations of both steady and unsteady incompressible flow problems indicate very good behavior of the RDF preconditioner with respect to both mesh size and viscosity. © 2011 Elsevier Inc.

Keywords

Dimensional Factorization, Dimensional Splitting, Krylov subspace method, Navier-Stokes equations, Oseen problem, Saddle point problem

Publication Date

2011

Source Publication Title

Journal of Computational Physics

Volume

230

Issue

16

Start Page

6185

End Page

6202

Publisher

Elsevier

ISSN (print)

00219991

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