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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