Vibration analysis of Kirchhoff plates by the Morley element method's

被引：10
|
作者：
Huang, Jianguo [1 ]
Guo, Ling [1 ]
Shi, Zhongci [2 ]
机构：
[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
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 213卷 / 01期
基金：
中国国家自然科学基金;
关键词：
vibration analysis; Kirchhoff plates; Morley element; error estimates;
D O I：
10.1016/j.cam.2006.12.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：14 / 34
页数：21
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