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A class of hybrid algebraic multilevel preconditioning methods
Bai, ZZ
1996
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume19Issue:4Pages:389-399
AbstractA class of hybrid algebraic multilevel preconditioning methods is presented for solving systems of linear equations with symmetric positive-definite matrices resulting from the discretization of many second-order elliptic boundary value problems by the finite element method. The new preconditioners are shown to be of optimal orders of complexities for 2-D and 3-D problem domains, and their relative condition numbers are estimated to be bounded uniformly with respect to the numbers of both levels and nodes.
Keywordmultilevel method polynomial acceleration finite element optimal-order preconditioner
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1996UA37600001
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28791
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,STATE KEY LAB SCI ENGN COMP,POB 2719,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Bai, ZZ. A class of hybrid algebraic multilevel preconditioning methods[J]. APPLIED NUMERICAL MATHEMATICS,1996,19(4):389-399.
APA Bai, ZZ.(1996).A class of hybrid algebraic multilevel preconditioning methods.APPLIED NUMERICAL MATHEMATICS,19(4),389-399.
MLA Bai, ZZ."A class of hybrid algebraic multilevel preconditioning methods".APPLIED NUMERICAL MATHEMATICS 19.4(1996):389-399.
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