New expansions of numerical eigenvalues by Wilson's element

doi:10.1016/j.cam.2008.07.019

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	New expansions of numerical eigenvalues by Wilson's element
	Lin, Qun 2; Huang, Hung-Tsai 3; Li, Zi-Cai 1,4
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	225 期号:1 页码:213-226
摘要	The paper explores new expansions of eigenvalues for -Delta u = lambda rho u in S with Dirichlet boundary conditions by Wilson's element, The expansions indicate that Wilson's element provides lower bounds of the eigenvalues. By the extrapolation or the splitting extrapolation, the O(h(4)) convergence rate can be obtained, where h is the maximal boundary length Of Uniform rectangles. Numerical experiments are carried to verify the theoretical analysis made. It is worth pointing Out that these results are new, compared with the recent book, Lin and Lin [Q. Lin, J. Lin, Finite Element Methods; Accuracy and Improvement, Science Press, Beijing, 2006]. (C) 2009 Published by Elsevier B.V.
关键词	Wilson's element Eigenvalue problem Extrapolation Global superconvergence
DOI	10.1016/j.cam.2008.07.019
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000263852100020
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/8585
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Zi-Cai
作者单位	1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 1000080, Peoples R China 3.I Shou Univ, Dept Appl Math, Saga 840, Japan 4.Natl Sun Yat Sen Univ, Dept Comp Sci & Engn, Kaohsiung 80424, Taiwan
推荐引用方式 GB/T 7714	Lin, Qun,Huang, Hung-Tsai,Li, Zi-Cai. New expansions of numerical eigenvalues by Wilson's element[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,225(1):213-226.
APA	Lin, Qun,Huang, Hung-Tsai,&Li, Zi-Cai.(2009).New expansions of numerical eigenvalues by Wilson's element.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,225(1),213-226.
MLA	Lin, Qun,et al."New expansions of numerical eigenvalues by Wilson's element".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 225.1(2009):213-226.