High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element

CSpace

	High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element
	Lin, Q; Wu, DS
	1999
发表期刊	COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
ISSN	1069-8299
卷号	15 期号:1 页码:19-31
摘要	In this paper the Carey non-conforming finite element is considered for solving eigenvalue problems of the second-order elliptic operator. Based on an interpolation postprocessing, high-accuracy estimates of both eigenfunctions and eigenvalues are obtained: parallel to Pi(2h)(2)u(h) - u parallel to(1) less than or equal to Ch(2)parallel to u parallel to(3) 0 less than or equal to <(lambda)over cap>(h) - lambda less than or equal to Ch(4)parallel to u parallel to(3)(2) Here, Pi(2h)(2) is an interpolation operator, (lambda, u) and (lambda(h), u(h)) are eigenpairs for the exact problem and its Carey element approximations, respectively, and lambda(h) is defined by the Rayleigh ratio of Pi(2h)(2)u(h). Copyright (C) 1999 John Wiley & Sons, Ltd.
关键词	Carey non-conforming finite element interpolation postprocessing eigenvalue problems high-accuracy approximations
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000078409500003
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14112
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, Q
作者单位	Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, Q,Wu, DS. High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,1999,15(1):19-31.
APA	Lin, Q,&Wu, DS.(1999).High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element.COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,15(1),19-31.
MLA	Lin, Q,et al."High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element".COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 15.1(1999):19-31.