Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations

doi:10.1080/00207160.2011.622375

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	Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations
	Ran, Yu-Hong; Yuan, Li
	2011
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	88 期号:17 页码:3762-3779
摘要	In order to solve the large sparse systems of linear equations arising from numerical solutions of two-dimensional steady incompressible viscous flow problems in primitive variable formulation, Ran and Yuan [On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems, Appl. Math. Comput. 217 (2010), pp. 3050-3068] presented the block symmetric successive over-relaxation (BSSOR) and the modified BSSOR iteration methods based on the special structures of the coefficient matrices. In this study, we present the modified alternating direction-implicit (MADI) iteration method for solving the linear systems. Under suitable conditions, we establish convergence theorems for the MADI iteration method. In addition, the optimal parameter involved in the MADI iteration method is estimated in detail. Numerical experiments show that the MADI iteration method is a feasible and effective iterative solver.
关键词	incompressible Navier-Stokes equations modified ADI iteration method diagonally dominant optimal parameter convergence
DOI	10.1080/00207160.2011.622375
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000296668700013
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11411
专题	中国科学院数学与系统科学研究院
通讯作者	Ran, Yu-Hong
作者单位	Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ran, Yu-Hong,Yuan, Li. Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2011,88(17):3762-3779.
APA	Ran, Yu-Hong,&Yuan, Li.(2011).Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,88(17),3762-3779.
MLA	Ran, Yu-Hong,et al."Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 88.17(2011):3762-3779.