A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS
文献类型：期刊论文
| 作者 | Wang, Wei1; Xu, Xuejun1,2
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2018 |
| 卷号 | 56期号:1页码:344-368 |
| 关键词 | eigenvalue problem finite elements two-level overlapping domain decomposition |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/16M1088302 |
| 英文摘要 | In this paper, we present a two-level overlapping hybrid domain decomposition method for solving the large scale discrete elliptic eigenvalue problems. In order to eliminate the components in the orthogonal complement space of the eigenspace, we construct a parallel preconditioner for the eigenvalue problem in fine space. After one coarse space correction in each iteration, we get the error reduction as gamma - c(1 - C delta/H), where C is a constant independent of the mesh size h and the diameter of subdomains H, delta is the overlapping size among the subdomains, and c -> 1 decreasingly as H -> 0, which means the greater the number of subdomains, the better the convergence rate. Different from other numerical algorithms in the literature, we do not need any assumptions between H and h. Numerical results supporting our theory are given. |
| 资助项目 | National Natural Science Foundation of China[11671302] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000426741600015 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30097]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Wang, Wei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Tongji Univ, Sch Math Sci, Shanghai 200442, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Wei,Xu, Xuejun. A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2018,56(1):344-368. |
| APA | Wang, Wei,&Xu, Xuejun.(2018).A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS,56(1),344-368. |
| MLA | Wang, Wei,et al."A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS".SIAM JOURNAL ON NUMERICAL ANALYSIS 56.1(2018):344-368. |
入库方式： OAI收割
来源：数学与系统科学研究院
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