Higher-order FETD method combined with domain decomposition algorithm analysis of substrate integrated waveguide structures

Based on high order hierarchical vector function, the finite-element time-domain (FETD) method combined with tearing and interconnecting (TI) algorithm is presented. This method is efficient for time domain analysis of substrate integrated waveguide (SIW) structures, since the SIW structures have a lot of fine via holes. By means of the high order hierarchical vector function, the accuracy and ability of FETD simulation of complicated SIW problems are improved. With the aid of non overlapping domain decomposition tearing and interconnecting algorithm, the ill-conditioned spare linear system obtained by the high order hierarchical vector finite element can be solved with direct methods even if the SIW structures lead to very large linear systems. Simulation results have verified this hybrid algorithm.