The construction of wavelet finite element and its application

被引：127

作者：

Chen, XF ^{[1
]}

Yang, SJ ^{[1
]}

Ma, JX ^{[1
]}

He, ZJ ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Sch Mech Engn, Xian 710049, Peoples R China

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2004年 / 40卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Daubechies wavelets; wavelet finite element; bending plate; temperature field; office paper;

D O I：

10.1016/S0168-874X(03)00077-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-dimensional wavelet finite element (WFE) is constructed, in which the scaling functions of Daubechies wavelets are adopted as trial functions. In order to overcome the integral difficulty caused by lack of the explicit Daubechies scaling function expression, a new and efficient integral method for stiffness and load matrices is presented. Then the bending characters of a thin plate are studied based on WFE. Numerical tests indicate that the WFE is highly accurate and effective. For engineering application, the internal temperature distribution of office paper used in office machines such as printers and copiers is analyzed by WFE. The results show that WFE has desirable calculation precision while dealing with singularity problems. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：541 / 554

页数：14

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