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An analysis of some high accuracy finite element methods for hyperbolic problems
Zhou, AH
2001-08-31
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume39Issue:3Pages:1014-1028
AbstractSome high accuracy finite element methods for hyperbolic problems are studied in this paper. It is proven that over a finite element mesh, the convergence order of linear finite element solutions for both linear and nonlinear equations can be higher than one even if the exact solutions are discontinuous. The theoretical tools for the convergence analysis are some superclose error estimates that are also developed in this paper for nonsmooth solutions.
Keywordconservation laws finite element higher accuracy hyperbolic problems optimal estimate
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000171177300013
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16446
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhou, AH. An analysis of some high accuracy finite element methods for hyperbolic problems[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,39(3):1014-1028.
APA Zhou, AH.(2001).An analysis of some high accuracy finite element methods for hyperbolic problems.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(3),1014-1028.
MLA Zhou, AH."An analysis of some high accuracy finite element methods for hyperbolic problems".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.3(2001):1014-1028.
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