EFFICIENT COMPUTATION OF TRANSIENT DIFFUSIVE ELECTROMAGNETIC-FIELDS BY A REDUCED MODELING TECHNIQUE

A reduced modeling technique for solving electromagnetic diffusion pro blems is the spectral Lanczos decomposition method (SLDM). In this pap er an alternative approach of applying this method to transient electr omagnetic diffusion problems is presented. The approach is based on Ma xwell's equations as a system of first-order partial differential equa tions as opposed to the standard SLDM that is based on a second-order partial differential equation for either the electric or the magnetic field strength. By taking the system of first-order equations as a sta rting point, it is possible to simultaneously construct approximations to the electric and magnetic field strength. Moreover, these approxim ations are highly structured. The structure of the approximations refl ects the structure that is present in the original set of equations. C ertain extensions of the present method are also given, and some numer ical results for two-dimensional configurations are presented.