Daubechies Wavelet Meshless Method for 2-D Elastic Problems

被引：2

作者：

刘亚男 ^{[1
]}

刘应华 ^{[1
]}

岑章志 ^{[1
]}

机构：

[1] epartment of Engineering Mechanics,Tsinghua University

来源：

Tsinghua Science and Technology | 2008年 / 05期

基金：

中国国家自然科学基金;

关键词：

wavelet; meshless method; scaling function; shape function;

D O I：

暂无

中图分类号：

O302 [力学中的数学方法];

学科分类号：

0701 ;

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 imple-mentation 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.

引用

页码：605 / 608

页数：4

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