Interpolating Moving Least-Squares-Based Meshless Time-Domain Method for Stable Simulation of Electromagnetic Wave Propagation in Complex-Shaped Domain

To stabilize the electromagnetic wave propagation simulations using a meshless time-domain method (MTDM) in complex-shaped domains, the new MTDM embedding the shape functions generated by the interpolating moving least-squares method has been developed. Numerical experiments show that the new MTDM can employ a relatively large time step for the simulations in comparison with that of the conventional MTDM. In addition, the parameters for generating the shape functions of new MTDM can be chosen more flexibly than those of the conventional MTDM. Furthermore, it is found that the stability of the simulations by MTDM depends not only on the stable condition for MTDM, but also on the specific kind of shape functions used and on the number of nodes contained in their support.