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ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION
Mao, Shipeng1; Nicaise, Serge2; Shi, Zhong-Ci1
2010
Source PublicationINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
Volume7Issue:4Pages:639-655
AbstractIn this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment error and rotation error are derived for triangular meshes satisfying the maximal angle condition. Our results can also be extended to the three dimensional Morley element presented recently in [41]. Finally, some numerical results are reported that confirm our theoretical results.
KeywordMorley element plate elements plate bending problems maximal angle condition
Language英语
Funding ProjectSpecial Funds For Major State Basic Research Project[2005CB321701]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000277127400003
PublisherISCI-INST SCIENTIFIC COMPUTING & INFORMATION
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9519
Collection计算数学与科学工程计算研究所
Corresponding AuthorMao, Shipeng
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
2.Univ Valenciennes & Hainaut Cambresis, LAMAV, ISTV, F-59313 Valenciennes 9, France
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Mao, Shipeng,Nicaise, Serge,Shi, Zhong-Ci. ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2010,7(4):639-655.
APA Mao, Shipeng,Nicaise, Serge,&Shi, Zhong-Ci.(2010).ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,7(4),639-655.
MLA Mao, Shipeng,et al."ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 7.4(2010):639-655.
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