Two nonconforming quadrilateral elements for the Reissner-Mindlin plate
文献类型：期刊论文
| 作者 | Ming, PB ; Shi, ZC
|
| 刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
 |
| 出版日期 | 2005-10-01 |
| 卷号 | 15期号:10页码:1503-1517 |
| 关键词 | locking-free quadrilateral nonconforming rotated Q(1) element Reissner-Mindlin plate |
| ISSN号 | 0218-2025 |
| 英文摘要 | We construct two low order nonconforming quadrilateral elements for the Reissner-Mindlin plate. The first one consists of a modified nonconforming rotated Q(1) element for one component of the rotation and the standard four-node isoparametric element for the other component as well as for the the approximation of the transverse displacement, a modified rotated Raviart-Thomas interpolation operator is employed as the shear reduction operator. The second differs from the first only in the approximation of the rotation, which employs the modified rotated Q(1) element for both components of the rotation, and a jump term accounting the discontinuity of the rotation approximation is included in the variational formulation. Both elements give optimal error bounds uniform in the plate thickness with respect to the energy norm as well as the L-2 norm. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000232562600004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1458]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ming, PB |
| 作者单位 | Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ming, PB,Shi, ZC. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2005,15(10):1503-1517. |
| APA | Ming, PB,&Shi, ZC.(2005).Two nonconforming quadrilateral elements for the Reissner-Mindlin plate.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,15(10),1503-1517. |
| MLA | Ming, PB,et al."Two nonconforming quadrilateral elements for the Reissner-Mindlin plate".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 15.10(2005):1503-1517. |
入库方式： OAI收割
来源：数学与系统科学研究院
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