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Conforming Rectangular Mixed Finite Elements for Elasticity
Chen, Shao-Chun2; Wang, Ya-Na1
2011-04-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume47Issue:1Pages:93-108
AbstractWe present a new family of rectangular mixed finite elements for the stress-displacement system of the plane elasticity problem. Based on the theory of mixed finite element methods, we prove that they are stable and obtain error estimates for both the stress field and the displacement field. Using the finite element spaces in this family, an exact sequence is established as a discrete version of the elasticity complex in two dimensions. And the relationship between this discrete version and the original one is shown in a commuting diagram.
KeywordElasticity Mixed method Conforming finite element Rectangular
DOI10.1007/s10915-010-9422-x
Language英语
Funding ProjectNSFC[11071226]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000288513100005
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Cited Times:28[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12649
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
2.Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
Recommended Citation
GB/T 7714
Chen, Shao-Chun,Wang, Ya-Na. Conforming Rectangular Mixed Finite Elements for Elasticity[J]. JOURNAL OF SCIENTIFIC COMPUTING,2011,47(1):93-108.
APA Chen, Shao-Chun,&Wang, Ya-Na.(2011).Conforming Rectangular Mixed Finite Elements for Elasticity.JOURNAL OF SCIENTIFIC COMPUTING,47(1),93-108.
MLA Chen, Shao-Chun,et al."Conforming Rectangular Mixed Finite Elements for Elasticity".JOURNAL OF SCIENTIFIC COMPUTING 47.1(2011):93-108.
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