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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
Source PublicationINTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN0020-7160
Volume88Issue:17Pages:3762-3779
AbstractIn 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.
Keywordincompressible Navier-Stokes equations modified ADI iteration method diagonally dominant optimal parameter convergence
DOI10.1080/00207160.2011.622375
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000296668700013
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/11411
Collection中国科学院数学与系统科学研究院
Corresponding AuthorRan, Yu-Hong
AffiliationChinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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