Matrix Pade via Lanczos for FEM problems

There has been a great deal of interest in using the Pade via Lanczos (PVL) technique to analyze the transfer functions and impulse responses of large scale linear circuits. In this paper, matrix-Pade via Lanczos (MPVL), which can be used on multiple-input multiple-output systems, is applied to solve models resulting from applying the finite element method (FEM) to electromagnetic wave propagation problems. The resulting solution procedure allows wideband frequency simulations with a reduction in computation time. Numerical simulations using this method are shown along with traditional methods using an LU decomposition at each frequency point of interest. Comparisons in accuracy as well as computation time are also given.