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AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
Huang, Feiteng1; Xie, Xiaoping1; Zhang, Chensong2
2016
发表期刊JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
卷号34期号:4页码:339-364
摘要In 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.
关键词Hybrid stress element Transition element Adaptive method Quadrilateral mesh Poisson-locking Plane elasticity
DOI10.4208/jcm.1511-m4496
语种英语
资助项目China 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研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000399809900001
出版者GLOBAL SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/25304
专题计算数学与科学工程计算研究所
通讯作者Huang, Feiteng
作者单位1.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
2.Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
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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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