Long-time stability of finite element approximations for parabolic equations with memory

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	Long-time stability of finite element approximations for parabolic equations with memory
	Allegretto, W ; Lin, YP ; Zhou, AH
	1999-05-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	15 期号:3 页码:333-354
摘要	In this article, we derive the sharp long-time stability and error estimates of finite element approximations for parabolic integro-differential equations. First, the exponential decay of the solution as t --> infinity is studied, and then the semidiscrete and fully discrete approximations are considered using the Ritz-Volterra projection. Other related problems are studied as well. The main feature of our analysis is that the results are valid for both smooth and nonsmooth (weakly singular) kernels. (C) 1999 John Wiley & Sons, Inc.
关键词	parabolic integro-differential long-time error estimates finite element stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000079902100005
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14406
专题	中国科学院数学与系统科学研究院
通讯作者	Allegretto, W
作者单位	1.Univ Alberta, Dept Math, Edmonton, AB T6G 2G1, Canada 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Allegretto, W,Lin, YP,Zhou, AH. Long-time stability of finite element approximations for parabolic equations with memory[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,1999,15(3):333-354.
APA	Allegretto, W,Lin, YP,&Zhou, AH.(1999).Long-time stability of finite element approximations for parabolic equations with memory.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,15(3),333-354.
MLA	Allegretto, W,et al."Long-time stability of finite element approximations for parabolic equations with memory".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 15.3(1999):333-354.