A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION

	A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION
	Chen, Huajie 1,2; Liu, Fang 3; Zhou, Aihui1
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	27 期号:2-3 页码:315-337
摘要	In this paper, a two-scale higher-order finite element discretization scheme is proposed and analyzed for a Schrodinger equation on tensor product domains. With the scheme, the solution of the eigenvalue problem on a fine grid can be reduced to an eigenvalue problem on a much coarser grid together with some eigenvalue problems on partially fine grids. It is shown theoretically and numerically that the proposed two-scale higher-order scheme riot only significantly reduces the number of degrees of freedom but also produces very accurate approximations.
关键词	Higher-order Finite element Discretization Eigenvalue Schrodinger equation Two-scale
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000265073400013
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7857
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Huajie
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China 3.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Chen, Huajie,Liu, Fang,Zhou, Aihui. A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):315-337.
APA	Chen, Huajie,Liu, Fang,&Zhou, Aihui.(2009).A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),315-337.
MLA	Chen, Huajie,et al."A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):315-337.