小波——伽辽金法的有限元模型

Wavelet Finite Element Model of Galitzin Method

由于小波 伽辽金法是以待求函数的小波系数为求解量，而不象有限元或有限差分类方法中以节点位函数值为求解变量。因此，小波 伽辽金法对于边界条件的处理不如有限元类算法简单、灵活。故本文选择一般的Ｄａｕｂｅｃｈｉｅｓ小波作基函数，根据其支撑性，提出了一种应用上的边界处理方法。

Because waveletGalitzin method is taken to the finding out a function′s wavelet factor as the solving magnitude, which doesn′t like the methods of finite element and finite difference that both take functional value at phrasing points as the finding variable. Therefrom, the use of waveletGalitzin method to deal with the boundary conditions is not so simple and flexible as that the method of finite element. However, this paper has chosen a common Daubechies which tates wavelet as the basic function. Basing upon the supporting feature, this paper proposes the method with which the boundary to be handled and be dealt with is suggested for application.