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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
Source PublicationADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN1019-7168
Volume16Issue:4Pages:291-303
AbstractIn 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.
Keywordelliptic problem finite volume method optimal estimate
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177900200001
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:68[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17760
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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