Some Multigrid Methods for Solving the p-Laplacian

In this article,a new multigrid method for solving p-Laplacian is proposed based on the existing multigrid method:FAS multigrid method and Cascadic multigrid method.It gathers the ideas of these two multigrid methods.It fastens and improves the precision of Cascade method by using its coarser grid correction.And it holds the right side of the original equation,so that it ensures that the property of the correction equation will be similar to the original equation. In this paper, some numerical results are given for different p in two-dimension, and base on the results we give the comparison and analysis.