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

The dependence of the multigrid-finite element method solving three dimensional magnetostatic fields on the quality of the finite element mesh is reported. It is shown that the convergence of the multigrid method is strongly influenced by the mesh quality. Moreover, the multigrid method with ICCG-smoother is shown to be more robust against mesh distortion than that with Gauss-Seidel and SOR smoothers.