Analysis of waveguides by use of the time-domain finite-element method solved by preconditioned iterative methods

Several preconditioning techniques, such as Jacobi, SSOR and ILU0, are used to accelerate the convergence of iterative methods, such as CG and GMRES, which are used to solve the large system of linear equations resulted from the time-domain finite-element methods (TDFEM). Convergence properties of these conventional preconditioning techniques are compared. The cylindrical cavity partially filled with dielectric rod and the perfectly matched layer terminated waveguides are simulated. Numerical results show that the ILU0 preconditioned method converges fastest in TDFEM compared with other preconditioning techniques when computing the same number of time steps.