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Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems
Huang, Na1; Ma, Chang-Feng2,3; Zou, Jun4
2018-04-01
Source PublicationCOMPUTATIONAL METHODS IN APPLIED MATHEMATICS
ISSN1609-4840
Volume18Issue:2Pages:237-256
AbstractWe first derive some explicit bounds on the spectra of generalized non-symmetric singular or non-singular saddle point matrices. Then we propose two new nonsingular preconditioners for solving generalized singular saddle point problems, and show that GMRES determines a solution without breakdown when applied to the resulting preconditioned systems with any initial guess. Furthermore, the detailed spectral properties of the preconditioned systems are analyzed. The nonsingular preconditioners are also applied to solve the singular finite element saddle point systems arising from the discretization of the Stokes problems to test their performance.
KeywordSingular Saddle Point Problems Preconditioners Spectral Estimates
DOI10.1515/cmam-2017-0006
Language英语
Funding ProjectNational Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; CUHK ; National Natural Science Foundation of China[11071041] ; Fujian Natural Science Foundation[2016J01005] ; Hong Kong RGC grant[14306814] ; National Natural Science Foundation (NSFC)/Research Grants Council (RGC) Joint Research Scheme[N_CUHK437/16]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000428185200006
PublisherWALTER DE GRUYTER GMBH
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30092
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
3.Fujian Normal Univ, FJKLMAA, Fuzhou 350007, Fujian, Peoples R China
4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Huang, Na,Ma, Chang-Feng,Zou, Jun. Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems[J]. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,2018,18(2):237-256.
APA Huang, Na,Ma, Chang-Feng,&Zou, Jun.(2018).Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,18(2),237-256.
MLA Huang, Na,et al."Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems".COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 18.2(2018):237-256.
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