On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems
文献类型：期刊论文
| 作者 | Ran, Yu-Hong; Yuan, Li
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2010-12-01 |
| 卷号 | 217期号:7页码:3050-3068 |
| 关键词 | Steady incompressible viscous flow Block SSOR iteration method Block LU factorization Block diagonally dominant Preconditioning |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2010.08.039 |
| 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, we present block SSOR and modified block SSOR iteration methods based on the special structures of the coefficient matrices. In each step of the block SSOR iteration, we employ the block LU factorization to solve the sub-systems of linear equations. We show that the block LU factorization is existent and stable when the coefficient matrices are block diagonally dominant of type-II by columns. Under suitable conditions, we establish convergence theorems for both block SSOR and modified block SSOR iteration methods. In addition, the block SSOR iteration and AF-ADI method are considered as preconditioners for the nonsymmetric systems of linear equations. Numerical experiments show that both block SSOR and modified block SSOR iterations are feasible iterative solvers and they are also effective for preconditioning Krylov subspace methods such as GMRES and BiCGSTAB when used to solve this class of systems of linear equations. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000283442400016 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10013]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 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. On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(7):3050-3068. |
| APA | Ran, Yu-Hong,&Yuan, Li.(2010).On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems.APPLIED MATHEMATICS AND COMPUTATION,217(7),3050-3068. |
| MLA | Ran, Yu-Hong,et al."On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems".APPLIED MATHEMATICS AND COMPUTATION 217.7(2010):3050-3068. |
入库方式： OAI收割
来源：数学与系统科学研究院
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