Efficient computation of three-dimension electromagnetic diffusive fields

A new method for the computation of three-dimensional electromagnetic diffusion fields is proposed. The first-order Maxwell system is taken as a point of departure. This system is discretized in space using standard finite differences. What results is an algebraic matrix equation in which the time coordinate appears as a continuous parameter. With the help of a so-called Lanczos algorithm the authors are able to solve this matrix equation without discretizing the time variable. Moreover, they solve for the electric and magnetic field strength components simultaneously. Numerical results for three-dimensional configurations illustrate the performance of the method.