No abstract

SUMMARYThe anisotropic media and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite element method (FEM) system condition and as a result, convergence of the iterative solver is substantially slowed down. To address this issue, the symmetric successive over-relaxation (SSOR) preconditioning scheme is applied to the generalized minimal residual (GMRES) for solving a large sparse and non-symmetric system of linear equations resulting from the analysis of ferrite waveguide device by use of edge-based FEM. Consequently, this preconditioned GMRES (PGMRES) approach can reach convergence ten times faster than GMRES for the typical structures.

In this paper, a spectral–pseudospectral domain technique is presented for the full‐wave analysis of a three‐dimensional MMIC. This technique combines the advantages of pseudospectral method of lines with those of spectral‐domain analysis. In conjunction with the cavity‐resonance technique, it enables one to efficiently extract the s‐parameters of three‐dimensional planar circuits. To demonstrate the generality and validity of the proposed method, numerical analyses are performed for several structures such as microstrip resonators, planar transmission‐line steps, and a parallel coupled‐line filter. The convergence behaviors are provided for line discretization based on the pseudospectral strategy and finite difference (FD), respectively. The calculated results are compared with those published in previous literature. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31: 340–345, 2001.

This Letter, proposes an algebraic domain decomposition algorithm (ADDA) to solve large sparse linear systems derived from the vector finite‐element method (FEM) for 3D electromagnetic field problems. The proposed method segments the problem into several smaller pieces, solves each subproblem by direct methods, and then reassembles the subproblem solutions together to get the global result. Block LU factorization and multifrontal method are applied to solve each subproblem for the generation of the reduced system, and iterative methods are applied to solve the reduced system. It is shown that if combined with ADDA, biconjugate gradient method (BCG) converges more rapidly than the conjugate gradient method (CG), and both of them are faster than the conventional CG method. The simulation results demonstrate that the proposed algorithm can efficiently solve large and sparse linear equations arising from the finite‐element method for the electromagnetic problems involving complex media such as perfectly matched layers (PMLs), which often make the linear equation ill‐conditioned. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 34: 414–417, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10480

No abstract