The finite-difference time-domain technique with perfectly matched layers for transient nonlinear eddy-current problems

This paper presents a general explicit finite-difference time-domain scheme for transient nonlinear electromagnetic eddy-current problems. Some existing methods are discussed, while the DuFort-Frankel algorithm is chosen for its simplicity and efficiency. The problem of domain termination is efficiently treated by means of a perfectly matched layer for eddy currents. The proposed algorithm isolates the exterior static problem from the interior explicit algorithm, thus involving only a reduced and easier system matrix solution.