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On the error bounds of nonconforming finite elements
Mao ShiPeng; Shi ZhongCi
2010-11-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume53Issue:11Pages:2917-2926
AbstractWe prove that the error estimates of a large class of nonconforming finite elements are dominated by their approximation errors, which means that the well-known Cea's lemma is still valid for these nonconforming finite element methods. Furthermore, we derive the error estimates in both energy and L(2) norms under the regularity assumption u is an element of H(1+s)(Omega) with any s > 0. The extensions to other related problems are possible.
Keywordnonconforming finite elements Cea's lemma error estimates
DOI10.1007/s11425-010-3120-x
Language英语
Funding ProjectSpecial Funds for Major State Basic Research Project[2005CB321701]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000284382200010
PublisherSCIENCE CHINA PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9544
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, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Mao ShiPeng,Shi ZhongCi. On the error bounds of nonconforming finite elements[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2917-2926.
APA Mao ShiPeng,&Shi ZhongCi.(2010).On the error bounds of nonconforming finite elements.SCIENCE CHINA-MATHEMATICS,53(11),2917-2926.
MLA Mao ShiPeng,et al."On the error bounds of nonconforming finite elements".SCIENCE CHINA-MATHEMATICS 53.11(2010):2917-2926.
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