Analysis of some low order quadrilateral Reissner-Mindlin plate elements
文献类型：期刊论文
| 作者 | Ming, Pingbing ; Shi, Zhong-Ci
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2006 |
| 卷号 | 75期号:255页码:1043-1065 |
| 关键词 | Reissner-Mindlin plate stabilized methods locking-free |
| ISSN号 | 0025-5718 |
| 英文摘要 | Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen (1933), the MIN4 element of Tessler and Hughes (1983), the Q4BL element of Zienkiewicz et al. (1993) and the FMIN4 element of Kikuchi and Ishii (1999). For all elements except the Q4BL element, a unifying variational formulation is introduced, and optimal H-1 and L-2 error bounds uniform in the plate thickness are proven. Moreover, we propose a modified Q4BL element and show that it admits the optimal H-1 and L-2 error bounds uniform in the plate thickness. In particular, we study the convergence behavior of all elements regarding the mesh distortion. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239181800002 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3362]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ming, Pingbing |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ming, Pingbing,Shi, Zhong-Ci. Analysis of some low order quadrilateral Reissner-Mindlin plate elements[J]. MATHEMATICS OF COMPUTATION,2006,75(255):1043-1065. |
| APA | Ming, Pingbing,&Shi, Zhong-Ci.(2006).Analysis of some low order quadrilateral Reissner-Mindlin plate elements.MATHEMATICS OF COMPUTATION,75(255),1043-1065. |
| MLA | Ming, Pingbing,et al."Analysis of some low order quadrilateral Reissner-Mindlin plate elements".MATHEMATICS OF COMPUTATION 75.255(2006):1043-1065. |
入库方式： OAI收割
来源：数学与系统科学研究院
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