Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method

doi:10.1016/j.apnum.2009.01.011

	Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method
	Lin, Qun; Xie, Hehu
	2009-08-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	59 期号:8 页码:1884-1893
摘要	The paper provides a general procedure or method to produce asymptotic error expansion for the eigenvalue approximations of second order elliptic problems by the mixed finite element method. We obtain a transform lemma for the error of the eigenvalue approximations. As an application of the transform lemma, the asymptotic error expansion of the eigenvalue approximations for the second order elliptic problem by the lowest order Raviart-Thomas mixed finite element method is given by means of integral identity technique. Based on such an error expansion, Richardson extrapolation technique is applied to improve the accuracy of the eigenvalue approximations. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Second order elliptic eigenvalue problem Mixed finite element method Asymptotic error expansion Richardson extrapolation Raviart-Thomas element
DOI	10.1016/j.apnum.2009.01.011
语种	英语
资助项目	National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000267210500011
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/7380
专题	计算数学与科学工程计算研究所
通讯作者	Xie, Hehu
作者单位	Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Qun,Xie, Hehu. Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method[J]. APPLIED NUMERICAL MATHEMATICS,2009,59(8):1884-1893.
APA	Lin, Qun,&Xie, Hehu.(2009).Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method.APPLIED NUMERICAL MATHEMATICS,59(8),1884-1893.
MLA	Lin, Qun,et al."Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method".APPLIED NUMERICAL MATHEMATICS 59.8(2009):1884-1893.