Analysis of finite dimensional approximations to a class of partial differential equations

doi:10.1002/mma.539

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	Analysis of finite dimensional approximations to a class of partial differential equations
	Bao, G ; Zhou, AH
	2004-11-25
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	27 期号:17 页码:2055-2066
摘要	In this paper, a unified approach for analysing finite dimensional approximations to a class of partial differential equations boundary value problems (second-kind Fredholm differential equations) is introduced. The approach is shown to be general despite of its extremely simple form. In particular, it is expected to be useful in the convergence analysis of finite element methods for solving PDE problems. Three specific examples are presented to illustrate the broad applicability of the approach. Copyright (C) 2004 John Wiley Sons, Ltd.
关键词	convergence error analysis finite dimensional approximation Fredholm differential equation
DOI	10.1002/mma.539
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225252800006
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/615
专题	中国科学院数学与系统科学研究院
通讯作者	Bao, G
作者单位	1.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA 2.Jilin Univ, Sch Math, Changchun 130023, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bao, G,Zhou, AH. Analysis of finite dimensional approximations to a class of partial differential equations[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2004,27(17):2055-2066.
APA	Bao, G,&Zhou, AH.(2004).Analysis of finite dimensional approximations to a class of partial differential equations.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,27(17),2055-2066.
MLA	Bao, G,et al."Analysis of finite dimensional approximations to a class of partial differential equations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 27.17(2004):2055-2066.