THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS

doi:10.1007/s10543-008-0189-5

	THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS
	Gao, X.1; Liu, F.2; Zhou, A.1
	2008-09-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	48 期号:3 页码:533-562
摘要	Some three-scale finite element discretization schemes are proposed and analyzed in this paper for a class of elliptic eigenvalue problems on tensor product domains. With these schemes, the solution of an eigenvalue problem on a fine grid may be reduced to the solutions of eigenvalue problems on a relatively coarse grid and some partially mesoscopic grids, together with the solutions of linear algebraic systems on a globally mesoscopic grid and several partially fine grids. It is shown theoretically and numerically that this type of discretization schemes not only significantly reduce the number of degrees of freedom but also produce very accurate approximations.
关键词	discretization eigenvalue finite element three-scale
DOI	10.1007/s10543-008-0189-5
语种	英语
资助项目	National Basic Research Program[2005CB321704] ; National Science Foundation of China[10701083] ; National Science Foundation of China[10425105]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000259935400008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6555
专题	计算数学与科学工程计算研究所
通讯作者	Gao, X.
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Gao, X.,Liu, F.,Zhou, A.. THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS[J]. BIT NUMERICAL MATHEMATICS,2008,48(3):533-562.
APA	Gao, X.,Liu, F.,&Zhou, A..(2008).THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS.BIT NUMERICAL MATHEMATICS,48(3),533-562.
MLA	Gao, X.,et al."THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS".BIT NUMERICAL MATHEMATICS 48.3(2008):533-562.