IMECH-IR  > 流固耦合系统力学重点实验室
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
Bai ZZ; Benzi M; Chen F(陈芳); Wang ZQ; Bai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China.
Source PublicationIMA JOURNAL OF NUMERICAL ANALYSIS
2013-01
Volume33Issue:1Pages:343-369
ISSN0272-4979
AbstractWe construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration scheme for solving and preconditioning a class of block two-by-two linear systems arising from the Galerkin finite element discretizations of a class of distributed control problems. The convergence theory of this class of PMHSS iteration methods is established and the spectral properties of the PMHSS-preconditioned matrix are analysed. Numerical experiments show that the PMHSS preconditioners can be quite competitive when used to precondition Krylov subspace iteration methods such as GMRES.
KeywordBlock Two-by-two Matrices Pmhss Iteration Preconditioning Spectral Properties Pde-constrained Optimization Kkt Systems
Subject Area一般力学
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000314894500014
Funding OrganizationNational Natural Science Foundation for Innovative Research Groups [11021101]; Chinese Academy of Sciences; National Basic Research Program, People's Republic of China [2011CB309703]
DepartmentLMFS水环境流体力学(LEM)
Classification一类
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Cited Times:127[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47110
Collection流固耦合系统力学重点实验室
Corresponding AuthorBai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Bai ZZ,Benzi M,Chen F,et al. Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2013,33(1):343-369.
APA Bai ZZ,Benzi M,Chen F,Wang ZQ,&Bai, ZZ .(2013).Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems.IMA JOURNAL OF NUMERICAL ANALYSIS,33(1),343-369.
MLA Bai ZZ,et al."Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems".IMA JOURNAL OF NUMERICAL ANALYSIS 33.1(2013):343-369.
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