Spectral Lanczos decomposition method for time domain and frequency domain finite-element solution of Maxwell's equations

A technique that combines the spectral Lanczos decomposition method and the finite-element method is introduced that can be used to solve Maxwell's equations in both the frequency and time domains. The present technique is an implicit, unconditionally stable finite-element time and frequency domain scheme. The Lanczos process is implemented only at the largest time or frequency of interest. The efficiency and effectiveness of this new technique are illustrated by using the numerical example of a three-dimensional dielectric-loaded cavity resonator.