Vibration analysis of Kirchhoff plates by the Morley element method's | |
Huang, Jianguo1; Guo, Ling1; Shi, Zhongci2![]() | |
刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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2008-03-15 | |
卷号 | 213期号:1页码:14-34 |
关键词 | vibration analysis Kirchhoff plates Morley element error estimates |
ISSN号 | 0377-0427 |
DOI | 10.1016/j.cam.2006.12.026 |
英文摘要 | Vibration analysis of Kirchhoff plates is of great importance in many engineering fields. The semi-discrete and the fully discrete Morley element methods are proposed to solve such a problem, which are effective even when the region of interest is irregular. The rigorous error estimates in the energy norm for both methods are established. Some reasonable approaches to choosing the initial functions are given to keep the good convergence rate of the fully discrete method. A number of numerical results are provided to illustrate the computational performance of the method in this paper. (c) 2007 Elsevier B.V. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000253149200002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6889] ![]() |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Huang, Jianguo |
作者单位 | 1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Huang, Jianguo,Guo, Ling,Shi, Zhongci. Vibration analysis of Kirchhoff plates by the Morley element method's[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,213(1):14-34. |
APA | Huang, Jianguo,Guo, Ling,&Shi, Zhongci.(2008).Vibration analysis of Kirchhoff plates by the Morley element method's.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,213(1),14-34. |
MLA | Huang, Jianguo,et al."Vibration analysis of Kirchhoff plates by the Morley element method's".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 213.1(2008):14-34. |
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