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Daubechies wavelet meshless method for 2-D elastic problems
Liu Ya'nan ; Liu Yinghua ; Cen Zhangzhi
2010-10-12 ; 2010-10-12
关键词Theoretical or Mathematical/ elasticity finite element analysis/ Daubechies wavelet meshless method 2D elastic problems finite element method FEM/ A0340D Mathematical theory of elasticity A4630C Elasticity A0260 Numerical approximation and analysis
中文摘要This paper introduces a meshless method based on Daubechies (DB) wavelets for 2-D elastic problems. The scaling and wavelet functions of the DB wavelet are used as basis functions to approximate the unknown field functions, so there is no need to construct costly shape functions as in the finite element method (FEM) and other meshless methods. In addition, the properties of the DB wavelets facilitate implementation of the method. The new method is used to analyze the elastic problem of a plain plate with a circle hole, and the numerical results agree well with the FEM. This method is effective and can be extended to solve complicated two or three dimensional problems.
语种英语
出版者Tsinghua University Press ; China
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/79204]  
专题清华大学
推荐引用方式
GB/T 7714
Liu Ya'nan,Liu Yinghua,Cen Zhangzhi. Daubechies wavelet meshless method for 2-D elastic problems[J],2010, 2010.
APA Liu Ya'nan,Liu Yinghua,&Cen Zhangzhi.(2010).Daubechies wavelet meshless method for 2-D elastic problems..
MLA Liu Ya'nan,et al."Daubechies wavelet meshless method for 2-D elastic problems".(2010).
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