AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
文献类型：期刊论文
| 作者 | Huang, Feiteng1; Xie, Xiaoping1; Zhang, Chensong2
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000399809900001 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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