| We mainly discuss the multigrid method for some equations based on mortar element method in this paper. In chapter 1, we use the P1 nonconforing mortar element to discrete Poisson equation, and adopt multigrid method to solve the discrete equations, we have proven that the algorithm has a uniform convergence rate, that is, the convergence rate is independent of the mesh size and level. The multigrid method for the stationary Stokes equations based on mortar mixed element method is presented in chapter 2, and the uniform convergence rate of the method independent of mesh size and level for the W-cycle is proven. |
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