Two lower order nonconforming rectangular elements for the reissner-mindlin plate
文献类型：期刊论文
| 作者 | Hu, Jun; Shi, Zhong-Ci
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2007 |
| 卷号 | 76期号:260页码:1771-1786 |
| 关键词 | Reissner-Mindlin plate bilinear element rotated Q(1) element bubble function locking-free |
| ISSN号 | 0025-5718 |
| 英文摘要 | In this paper, we propose two lower order nonconforming rectangular elements for the Reissner-Mindlin plate. The first one uses the conforming bilinear element to approximate both components of the rotation, and the modified nonconforming rotated Q(1) element to approximate the displacement, whereas the second one uses the modified nonconforming rotated Q1 element to approximate both the rotation and the displacement. Both elements employ a projection operator to overcome the shear force locking. We prove that both methods converge at optimal rates uniformly in the plate thickness t in both the H-1- and L-2- norms, and consequently they are locking free. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000249415700004 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4210]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Jun |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Jun,Shi, Zhong-Ci. Two lower order nonconforming rectangular elements for the reissner-mindlin plate[J]. MATHEMATICS OF COMPUTATION,2007,76(260):1771-1786. |
| APA | Hu, Jun,&Shi, Zhong-Ci.(2007).Two lower order nonconforming rectangular elements for the reissner-mindlin plate.MATHEMATICS OF COMPUTATION,76(260),1771-1786. |
| MLA | Hu, Jun,et al."Two lower order nonconforming rectangular elements for the reissner-mindlin plate".MATHEMATICS OF COMPUTATION 76.260(2007):1771-1786. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。