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Error estimates of triangular finite elements under a weak angle condition
Mao, Shipeng; Shi, Zhongci
2009-08-01
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume230Issue:1Pages:329-331
AbstractIn this note, by analyzing the interpolation operator of Girault and Raviart given in [V. Girault, P.A, Raviart, Finite element methods for Navier-Stokes equations, Theory and algorithms, in: Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 1986] over triangular meshes, we prove optimal interpolation error estimates for Lagrange triangular finite elements of arbitrary order under the maximal angle condition in a unified and simple way. The key estimate is only an application of the Bramble-Hilbert lemma. (C) 2008 Elsevier B.V. All rights reserved.
KeywordInterpolation error estimates Bramble-Hilbert lemma Maximal angle condition
DOI10.1016/j.cam.2008.11.008
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000267237500029
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8801
Collection计算数学与科学工程计算研究所
Corresponding AuthorMao, Shipeng
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Mao, Shipeng,Shi, Zhongci. Error estimates of triangular finite elements under a weak angle condition[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,230(1):329-331.
APA Mao, Shipeng,&Shi, Zhongci.(2009).Error estimates of triangular finite elements under a weak angle condition.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,230(1),329-331.
MLA Mao, Shipeng,et al."Error estimates of triangular finite elements under a weak angle condition".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 230.1(2009):329-331.
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