Speed-up for Finite Element Analysis by Using Multigrid Method

Abstract

In this paper, the convergency of the multigrid method for electromagnetic field computations is presented. The convergency and computational time of three multigrid algorithms (V-cycle, W-cycle and Full multigrid) are discussed and compared with each other. A comparison of the computational time between the multigrid method and the ICCG method, which is commonly used solution method in the finite element analysis, is also presented. It is proven that the convergency of the multigrid methods is better than that of the ICCG method especially for solving the large system.