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A combined algorithm of the edge-based finite-element method (FEM) and the short-open calibration (SOC) technique is presented in order to analyze periodic structures. The computational domain is reduced to a unit cell through the use of waveguide simulators. To accurately predict the characteristics of periodic structures, the SOC technique is directly accommodated into the FEM formulation and removes unwanted parasitic errors brought about by the approximation of exciting sources. The developed FEM algorithm improves the accuracy of the solution and causes the rapid convergence of iterative solvers, when compared to the FEM combined with perfectly matching layers (PMLs) or absorbed boundary conditions (ABCs). The results for some periodic structures are given to show the accuracy and rapidity of the algorithm. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 427–430, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20844 [ABSTRACT FROM AUTHOR]

The multifrontal method is applied for solving a large, sparse, and unsymmetric system of linear equations resulting from the use of the edge-based finite-element method (FEM). The finite-element method combined with perfectly matched layers (PML) is given for simulation of microwave devices, and the combined algorithm of the multifrontal method is described. The electrical characteristics of typical waveguide devices such as the ferrite phase shifter and circulator are analyzed, and the calculated results are compared with those obtained from the literature. In order to demonstrate the efficiency of the multifrontal method, the computational time is compared with that of both successive overrelaxation (SOR) preconditioned conjugate-gradient (PCG) and conjugate-gradient methods (CG) for the phase shifter. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 35: 76–81, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10521 [ABSTRACT FROM AUTHOR]

The multifrontal method is applied for solving a large system of linear equations resulting from the use of the edge-based finite-element method (FEM). The finite-element method combined with the perfectly matched layers (PMLs) is given for the simulation of microwave filters, and the algorithm of the multifrontal method is described in detail. The reflection loss and insertion loss of several filters are analyzed as examples, and the obtained results are compared with those obtained from the literature. In order to demonstrate the efficiency of the multifrontal method, the computational time is compared with that of both the symmetric successive overrelaxation (SSOR) preconditioned conjugate-gradient (PCG) and conjugate-gradient methods (CG) for a thick-iris waveguide bandpass filer. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31: 465–470, 2001. [ABSTRACT FROM AUTHOR]