Investigation of the efficiency of the multigrid method for finite element electromagnetic field computations using nested meshes

摘要

Investigation of the efficiency of the multigrid solution methods for electromagnetic field computations using nested finite element meshes is presented. Two type of multigrid algorithms, the V-cycle and the W-cycle multigrids are investigated and the results for the convergence rate of the iterative process and the computation time are compared with those of the ICCG solution method which is the commonly used solution method in finite element analysis. It is proven that the efficiency of the multigrid methods is better than that of the ICCG method especially for the solution of large systems of simultaneous algebraic equations.