New expansions of numerical eigenvalues by Wilson's element

doi:10.1016/j.cam.2008.07.019

	New expansions of numerical eigenvalues by Wilson's element
	Lin, Qun 2; Huang, Hung-Tsai 3; Li, Zi-Cai 1,4
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2009-03-01
卷号	225 期号:1 页码:213-226
关键词	Wilson's element Eigenvalue problem Extrapolation Global superconvergence
ISSN号	0377-0427
DOI	10.1016/j.cam.2008.07.019
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000263852100020
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/8584]
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.