Schurras: A restricted version of the overlapping Schur complement preconditioner
文献类型：期刊论文
| 作者 | Li, ZZ; Saad, Y |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2006 |
| 卷号 | 27期号:5页码:1787-1801 |
| 关键词 | parallel preconditioning distributed sparse linear systems Schur complement techniques domain decomposition additive Schwarz preconditioner restricted additive Schwarz preconditioner |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/040608350 |
| 英文摘要 | This paper presents a preconditioner based on solving approximate Schur complement systems with the overlapping restricted additive Schwarz (RAS) methods. The construction of the preconditioner, called SchurRAS, is as simple as in the standard RAS. The communication requirements for each application of the preconditioning operation are also similar to those of the standard RAS approach. In the particular case when the degree of overlap is one, then SchurRAS and RAS involve exactly the same communication volume per step. In addition, SchurRAS has the same degree of parallelism as RAS. In some numerical experiments with a model problem, the convergence rate of the method was found to be similar to that of the multiplicative Schwarz (MS) method. The Schur-based RAS usually outperforms the standard RAS both in terms of iteration count and CPU time. For a few two-dimensional scaled problems, SchurRAS was about twice as fast as the stardard RAS on 64 processors. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235216100016 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2886]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, ZZ |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100864, Peoples R China 2.Univ Minnesota, Dept Comp Sci & Engn, Minneapolis, MN 55455 USA |
| 推荐引用方式 GB/T 7714 | Li, ZZ,Saad, Y. Schurras: A restricted version of the overlapping Schur complement preconditioner[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2006,27(5):1787-1801. |
| APA | Li, ZZ,&Saad, Y.(2006).Schurras: A restricted version of the overlapping Schur complement preconditioner.SIAM JOURNAL ON SCIENTIFIC COMPUTING,27(5),1787-1801. |
| MLA | Li, ZZ,et al."Schurras: A restricted version of the overlapping Schur complement preconditioner".SIAM JOURNAL ON SCIENTIFIC COMPUTING 27.5(2006):1787-1801. |
入库方式： OAI收割
来源：数学与系统科学研究院
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