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A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS
Wang, Wei1; Xu, Xuejun1,2
2018
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume56Issue:1Pages:344-368
AbstractIn 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.
Keywordeigenvalue problem finite elements two-level overlapping domain decomposition
DOI10.1137/16M1088302
Language英语
Funding ProjectNational Natural Science Foundation of China[11671302]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000426741600015
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30098
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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