A dynamic multiscale lifting computation method using Daubechies wavelet

被引：23

作者：

Chen, XF ^{[1
]}

He, ZJ ^{[1
]}

Xiang, JW ^{[1
]}

Li, B ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Sch Mech Engn, Xian 710049, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 188卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Daubechies wavelet; multiscale; connection coefficients;

D O I：

10.1016/j.cam.2005.04.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An important property of wavelet multiresolution analysis is the capability to represent functions in a dynamic multiscale manner, so the solution in the wavelet domain enables a hierarchical approximation to the exact. solution. The typical problem that arises when using Daubechies wavelets in numerical analysis, especially in finite element analysis, is how to calculate the connection coefficients, an integral of products of wavelet scaling functions or derivative operators associated with these. The method to calculate multiscale connection coefficients for stiffness matrices and load vectors is presented for the first time. And the algorithm of multiscale lifting computation is developed. The numerical examples are given to verify the effectiveness of such a method. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：228 / 245

页数：18

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