NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS
文献类型：期刊论文
| 作者 | Hu, Qiya1 ; Shu, Shi2; Wang, Junxian2
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2010-10-01 |
| 卷号 | 79期号:272页码:2059-2078 |
| 关键词 | Domain decomposition coarse subspace substructuring preconditioner inexact solver condition number |
| ISSN号 | 0025-5718 |
| 英文摘要 | We propose a substructuring preconditioner for solving three-dimensional elliptic equations with strongly discontinuous coefficients. The new preconditioner can be viewed as a variant of the classical substructuring preconditioner proposed by Bramble, Pasiack and Schatz (1989), but with much simpler coarse solvers. Though the condition number of the preconditioned system may not have a good bound, we are able to show that the convergence rate of the PCG method with such substructuring preconditioner is nearly optimal, and also robust with respect to the (possibly large) jumps of the coefficient in the elliptic equation. |
| 资助项目 | Natural Science Foundation of China[G10771178] ; Natural Science Foundation of China[10676031] ; Natural Science Foundation of China[10771178] ; The Key Project of Natural Science Foundation of China[G10531080] ; National Basic Research Program of China[G2005CB321702] ; Basic Research Program of China[2005CB321702] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000282140500006 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10588]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Shu, Shi,Wang, Junxian. NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS[J]. MATHEMATICS OF COMPUTATION,2010,79(272):2059-2078. |
| APA | Hu, Qiya,Shu, Shi,&Wang, Junxian.(2010).NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS.MATHEMATICS OF COMPUTATION,79(272),2059-2078. |
| MLA | Hu, Qiya,et al."NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS".MATHEMATICS OF COMPUTATION 79.272(2010):2059-2078. |
入库方式： OAI收割
来源：数学与系统科学研究院
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