On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations

doi:10.1051/m2an:2005046

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	On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
	Xu, XJ ; Chow, CO ; Lui, SH
	2005-11-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	39 期号:6 页码:1251-1269
摘要	In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
关键词	nonoverlapping domain decomposition incompressible Navier-Stokes equations finite elements nonlinear problems
DOI	10.1051/m2an:2005046
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000233614000007
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2058
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, XJ
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Acad Sinica, Inst Math, Taipei 11529, Taiwan 3.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
推荐引用方式 GB/T 7714	Xu, XJ,Chow, CO,Lui, SH. On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2005,39(6):1251-1269.
APA	Xu, XJ,Chow, CO,&Lui, SH.(2005).On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,39(6),1251-1269.
MLA	Xu, XJ,et al."On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 39.6(2005):1251-1269.