A class of hybrid algebraic multilevel preconditioning methods

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	A class of hybrid algebraic multilevel preconditioning methods
	Bai, ZZ
	1996
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	19 期号:4 页码:389-399
摘要	A 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.
关键词	multilevel method polynomial acceleration finite element optimal-order preconditioner
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1996UA37600001
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28791
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, ZZ
作者单位	CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,STATE KEY LAB SCI ENGN COMP,POB 2719,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 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.