Robustness of Nested Multigrid Method for Edge-Based Finite Element Analysis

The multigrid method is known as the faster linear solver for large scale finite element analysis. In the edge-based finite element analysis, the geometric multigrid (GMG) method requires careful treatment for the stable convergence. In this paper we investigate factors for stable convergence of nested GMG method. The Numerical results show that the unsuitable application of essential boundary condition to the system matrix results in poor convergence of GMG method. We indicate that the appropriate boundary condition for the system or restriction matrix enable the stable convergence.