AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY

doi:10.4208/jcm.1511-m4496

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
	Huang, Feiteng 1; Xie, Xiaoping 1; Zhang, Chensong2
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2016
卷号	34 期号:4 页码:339-364
关键词	Hybrid stress element Transition element Adaptive method Quadrilateral mesh Poisson-locking Plane elasticity
ISSN号	0254-9409
DOI	10.4208/jcm.1511-m4496
英文摘要	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.
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
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000399809900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25303]
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
推荐引用方式 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.