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	The extrapolation of numerical eigenvalues by finite elements for differential operators
	Yang, Yidu ; Bi, Hai ; Li, Sirui
	2013
关键词	Spectral approximation Multiple eigenvalue Finite element Asymptotic expansion Splitting extrapolation 2ND-ORDER ELLIPTIC PROBLEMS SPLITTING EXTRAPOLATION RICHARDSON EXTRAPOLATION REENTRANT CORNERS SPECTRAL APPROXIMATION ASYMPTOTIC EXPANSIONS DOMAINS SUPERCONVERGENCE EQUATIONS
英文摘要	This paper discusses the extrapolation of numerical eigenvalues by finite elements for differential operators and obtains the following new results: (a) By extending a theorem of eigenvalue error estimate, which was established by Osborn, a new expansion of eigenvalue error is obtained. Many achievements, which are about the asymptotic expansions of finite element methods of differential operator eigenvalue problems, are brought into the framework of functional analysis. (b) The Richardson extrapolation of nonconforming finite elements for multiple eigenvalues and splitting extrapolation of finite elements based on domain decomposition of non-selfadjoint differential operators for multiple eigenvalues are achieved. In addition, numerical examples are provided to support the theoretical analysis. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; 59-72; 69
语种	英语
出处	SCI ; EI
出版者	applied numerical mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/222428]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yang, Yidu,Bi, Hai,Li, Sirui. The extrapolation of numerical eigenvalues by finite elements for differential operators. 2013-01-01.

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