为了提高偏微分方程的计算精度,由瀑布型多重网格的速度收敛快以及小波多分辨分析的性质,通过改进传统瀑布型多重网格算法中的插值算子,提出一种新的小波瀑布型多重网格方法。数值结果表明,小波瀑布型多重网格方法比传统的瀑布型多重网格方法具有更高精度。
In order to improve the calculation accuracy of the differential equation,the fast convergence of cascadic multigrid method and the properties of wavelet multiresolution analysis are Considered.By changing the interpolation in the traditional cascadic multigrid method,a new cascadic multigrid method is presented.The numerical results show that this new method is more effective than the traditional cascadic multigrid for the partial differential equation.