A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets  

作　　者：Doreen De Leon 

机构地区：[1]Department of Mathematics, California State University, Fresno, USA

出　　处：《American Journal of Computational Mathematics》2013年第2期127-136,共10页美国计算数学期刊（英文）

摘　　要：In [1], the author introduced a wavelet multigrid method that used the wavelet transform to define the coarse grid, interpolation, and restriction operators for the multigrid method. In this paper, we modify the method by using symmetric biorthogonal wavelet transforms to define the requisite operators. Numerical examples are presented to demonstrate the effectiveness of the modified wavelet multigrid method for diffusion problems with highly oscillatory coefficients, as well as for advection-diffusion equations in which the advection is moderately dominant.In [1], the author introduced a wavelet multigrid method that used the wavelet transform to define the coarse grid, interpolation, and restriction operators for the multigrid method. In this paper, we modify the method by using symmetric biorthogonal wavelet transforms to define the requisite operators. Numerical examples are presented to demonstrate the effectiveness of the modified wavelet multigrid method for diffusion problems with highly oscillatory coefficients, as well as for advection-diffusion equations in which the advection is moderately dominant.

关 键 词：MULTIGRID WAVELETS BIORTHOGONAL WAVELETS 

分 类 号：O1[理学—数学]