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AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
Huang, Feiteng1; Xie, Xiaoping1; Zhang, Chensong2
2016
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume34Issue:4Pages:339-364
AbstractIn this paper, we discuss an adaptive hybrid stress finite element method on quadrilateral meshes for linear elasticity problems. To deal with hanging nodes arising in the adaptive mesh refinement, we propose new transition types of hybrid stress quadrilateral elements with 5 to 7 nodes. In particular, we derive a priori error estimation for the 5-node transition hybrid stress element to show that it is free from Poisson-locking, in the sense that the error bound in the a priori estimate is independent of the Lame constant lambda. We introduce, for quadrilateral meshes, refinement/coarsening algorithms, which do not require storing the refinement tree explicitly, and give an adaptive algorithm. Finally, we provide some numerical results.
KeywordHybrid stress element Transition element Adaptive method Quadrilateral mesh Poisson-locking Plane elasticity
DOI10.4208/jcm.1511-m4496
Language英语
Funding ProjectChina Scholarship Council ; National Natural Science Foundation of China[11171239] ; Major Research Plan of National Natural Science Foundation of China[91430105] ; Major Research Plan of National Natural Science Foundation of China[91430215] ; National High Technology Research and Development Program of China Grant[2012AA01A309]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000399809900001
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25304
Collection计算数学与科学工程计算研究所
Affiliation1.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
2.Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Feiteng,Xie, Xiaoping,Zhang, Chensong. AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2016,34(4):339-364.
APA Huang, Feiteng,Xie, Xiaoping,&Zhang, Chensong.(2016).AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY.JOURNAL OF COMPUTATIONAL MATHEMATICS,34(4),339-364.
MLA Huang, Feiteng,et al."AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY".JOURNAL OF COMPUTATIONAL MATHEMATICS 34.4(2016):339-364.
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