Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations
文献类型：期刊论文
| 作者 | Ran, Yu-Hong; Yuan, Li |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2011 |
| 卷号 | 88期号:17页码:3762-3779 |
| 关键词 | incompressible Navier-Stokes equations modified ADI iteration method diagonally dominant optimal parameter convergence |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160.2011.622375 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000296668700013 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11410]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。