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Vibration analysis of Kirchhoff plates by the Morley element method's
Huang, Jianguo1; Guo, Ling1; Shi, Zhongci2
2008-03-15
发表期刊JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
卷号213期号:1页码:14-34
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.
关键词vibration analysis Kirchhoff plates Morley element error estimates
DOI10.1016/j.cam.2006.12.026
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000253149200002
出版者ELSEVIER SCIENCE BV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/6890
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
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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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