A new stable hybrid three-dimensional generalized finite difference time domain algorithm for analyzing complex structures

In many practical situations it is necessary to hybridize two algorithms, e.g., the FDTD and FETD, to improve the accuracy of the solution without placing an inordinately heavy burden on the CPU. In order to accomplish this task without having to use a very small time step throughout the computational domain to satisfy the Courant condition (Taflove, A. and Hagness, S.C., 2000), we have proposed a stable hybridized 3D FDTD algorithm (Marrone, M. and Mittra, R., IEEE Trans. Antennas Propag., to be published). This algorithm has been developed using the cell method that enabled us to address the problems of both instability and connectivity. We present the results of some numerical tests, which serve to compare the accuracy and the computational complexity of the proposed algorithm with the same for the classical FDTD method.