A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations

doi:10.1016/j.jcp.2011.04.001

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Title	A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations
Creator	Benzi，Michele 1; Ng，Michael 2; Niu，Qiang 3,4; Wang，Zhen 1
Date Issued	2011
Source Publication	Journal of Computational Physics
ISSN	0021-9991
Volume	230 Issue:16 Pages:6185-6202
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.
Keyword	Dimensional Factorization Dimensional Splitting Krylov subspace method Navier-Stokes equations Oseen problem Saddle point problem
DOI	10.1016/j.jcp.2011.04.001
URL	View source
Language	英语English
Scopus ID	2-s2.0-79957551863
Citation statistics	Cited Times:95[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/6618
Collection	Beijing Normal-Hong Kong Baptist University
Corresponding Author	Benzi，Michele
Affiliation	1.Department of Mathematics and Computer Science,Emory University,Atlanta, GA 30322,United States 2.Department of Mathematics,Hong Kong Baptist University,Kowloon Tong,Hong Kong 3.BNU-HKBU United International College,Zhuhai 519085,China 4.Mathematics and Physics Teaching Centre,Xi'an Jiaotong-Liverpool University,Suzhou 215123,China
Recommended Citation GB/T 7714	Benzi，Michele,Ng，Michael,Niu，Qianget al. A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations[J]. Journal of Computational Physics, 2011, 230(16): 6185-6202.
APA	Benzi，Michele, Ng，Michael, Niu，Qiang, & Wang，Zhen. (2011). A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations. Journal of Computational Physics, 230(16), 6185-6202.
MLA	Benzi，Michele,et al."A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations". Journal of Computational Physics 230.16(2011): 6185-6202.

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