SPECTRAL LANCZOS DECOMPOSITION METHOD FOR TIME-DOMAIN AND FREQUENCY-DOMAIN FINITE-ELEMENT SOLUTION OF MAXWELLS EQUATIONS

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