Construction of a Finite Element Multiresolution Method Based on the Second Generation Wavelets

被引：0
|
作者：
Lin, Yun [1 ]
He, Yumin [1 ]
Zhang, Xiaolong [1 ]
机构：
[1] Xian Univ Architecture & Technol, Xian 710055, Peoples R China
来源：
MATERIALS PROCESSING TECHNOLOGY, PTS 1-4 | 2011年 / 291-294卷
关键词：
Wavelet; Finite element; Adaptive algorithm; Space solution; STIFFNESS;
D O I：
10.4028/www.scientific.net/AMR.291-294.1161
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The second generation wavelet transform has shown the property of high flexibility in multiresolution analysis. Based on this powerful tool, a new finite element multiresolution method is proposed. By using this method, the equation can be resolved in the low-resolution space, and then the coarse solution can be refined by adding the detail solutions in the detail spaces gradually till the solution in a high-resolution space satisfies the expected accuracy. This method is easy to achieve self-adapting algorithm and is suited for solving the singular problems. Numerical tests demonstrate the validity of this method.
引用
收藏
页码：1161 / 1164
页数：4
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