A note on the optimal L-2-estimate of the finite volume element method

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	A note on the optimal L-2-estimate of the finite volume element method
	Chen, ZY ; Li, RH ; Zhou, AH
	2002-05-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	16 期号:4 页码:291-303
摘要	In this note, the optimal L-2-error estimate of the finite volume element method (FVE) for elliptic boundary value problem is discussed. It is shown that parallel tou-u(h)parallel to(0) less than or equal to Ch(2)\lnh\(1/2)parallel tofparallel to(1,l) and parallel tou-u(h)parallel to0 less than or equal to Ch(2)parallel tofparallel to(1,p). p>1 where u is the solution of the variational problem of the second order elliptic partial differential equation, u(h) is the solution of the FVE scheme for solving the problem, and f is the given function in the right-hand side of the equation.
关键词	elliptic problem finite volume method optimal estimate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177900200001
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17760
专题	中国科学院数学与系统科学研究院
作者单位	1.Zhongshan Univ, Dept Computat Sci, Guangzhou 510275, Peoples R China 2.Jilin Univ, Dept Math, Changchun 130023, Peoples R China 3.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZY,Li, RH,Zhou, AH. A note on the optimal L-2-estimate of the finite volume element method[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2002,16(4):291-303.
APA	Chen, ZY,Li, RH,&Zhou, AH.(2002).A note on the optimal L-2-estimate of the finite volume element method.ADVANCES IN COMPUTATIONAL MATHEMATICS,16(4),291-303.
MLA	Chen, ZY,et al."A note on the optimal L-2-estimate of the finite volume element method".ADVANCES IN COMPUTATIONAL MATHEMATICS 16.4(2002):291-303.