KMS Of Academy of mathematics and systems sciences, CAS
| ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS | |
Wang, Wei1,2; Xu, Xuejun2,3
| |
| 2019-09-01 | |
| Source Publication | MATHEMATICS OF COMPUTATION
 |
| ISSN | 0025-5718 |
| Volume | 88Issue:319Pages:2295-2324 |
| Abstract | In this paper, we shall give a rigorous theoretical analysis of the two-level preconditioned Jacobi-Davidson method for solving the large scale discrete elliptic eigenvalue problems, which was essentially proposed by Zhao, Hwang, and Cai in 2016. Focusing on eliminating the error components in the orthogonal complement space of the target eigenspace, we find that the method could be extended to the case of the 2mth order elliptic operator (m = 1,2). By choosing a suitable coarse space, we prove that the method holds a good scalability and we obtain the error reduction gamma = c(1-C delta(2m-1)/H2m-1) in each iteration, 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. Moreover, the method does not need any assumption between H and h. Numerical results supporting our theory are given. |
| Keyword | Jacobi-Davidson method eigenvalue problems domain decomposition method |
| DOI | 10.1090/mcom/3403 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11671302] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000470321000009 |
| Publisher | AMER MATHEMATICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34871 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Wang, Wei |
| Affiliation | 1.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200442, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Wei,Xu, Xuejun. ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS[J]. MATHEMATICS OF COMPUTATION,2019,88(319):2295-2324. |
| APA | Wang, Wei,&Xu, Xuejun.(2019).ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS.MATHEMATICS OF COMPUTATION,88(319),2295-2324. |
| MLA | Wang, Wei,et al."ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS".MATHEMATICS OF COMPUTATION 88.319(2019):2295-2324. |
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