关键词: 小波 均匀化 多分辨分析 有限体积法

Abstract:

The principle of wavelet-based homogenization is introduced. The method is applied to parabolic equations with three kinds of highly oscillating coeff icients. Because it is hard for these equations to get the resolutional results, the referrence resolution is obtained from the results of finite volume   with fine mesh. According to the resolutional results, the numerical results show that the proposed method is better than the finite volume method, not  only in calculation but also in accuracy.

Key words:  （wavelet, homogenization, multiresolution analysis, finite volume method）