New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements

	New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements
	Lin, Qun3 ; Huang, Hung-Tsai ; Li, Zi-Cai 1,2
	2008
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	77 期号:264 页码:2061-2084
摘要	The paper explores new expansions of the eigenvalues for -Delta u = lambda rho u in S with Dirichlet boundary conditions by the bilinear element (denoted Q(1)) and three nonconforming elements, the rotated bilinear element (denoted Q(1)(rot)), the extension of Q(1)(rot) (denoted Q(1)(rot)) and Wilson's elements. The expansions indicate that Q(1) and Q(1)(rot) provide upper bounds of the eigenvalues, and that EQ(1)(rot) and Wilson's elements provide lower bounds of the eigenvalues. By extrapolation, the O(h(4)) convergence rate can be obtained, where h is the maximal boundary length of uniform rectangles. Numerical experiments are carried out to verify the theoretical analysis made.
关键词	bilinear elements rotated bilinear element the extension of rotated bilinear element Wilson's element eigenvalue problem extrapolation global superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000257949000008
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6980
专题	计算数学与科学工程计算研究所
通讯作者	Lin, Qun
作者单位	1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Natl Sun Yat Sen Univ, Dept Comp Sci & Engn, Kaohsiung 80424, Taiwan 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 1000080, Peoples R China
推荐引用方式 GB/T 7714	Lin, Qun,Huang, Hung-Tsai,Li, Zi-Cai. New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements[J]. MATHEMATICS OF COMPUTATION,2008,77(264):2061-2084.
APA	Lin, Qun,Huang, Hung-Tsai,&Li, Zi-Cai.(2008).New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements.MATHEMATICS OF COMPUTATION,77(264),2061-2084.
MLA	Lin, Qun,et al."New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements".MATHEMATICS OF COMPUTATION 77.264(2008):2061-2084.