Abstract-In this paper, the difference scheme of the alternatingdirection-implicit finite-difference time-domain (ADI-FDTD) method is replaced by the quasi isotropic (QI) spatial difference scheme to improve its numerical dispersion characteristics. The unconditional stability advantage of QI-ADI-FDTD is analytically proven and numerically verified. The numerical dispersion of the novel method can be dramatically reduced by choosing proper weighting factor. An example is simulated to demonstrate the accuracy and efficiency of the proposed method.
Abstract-In this paper, a 3-D unconditionally stable meshless method is introduced to simulate time-domain electromagnetic problems. It combines the conventional radial point interpolation method (RPIM) and weighted decaying Laguerre polynomials together to discrete Maxwell's differential equations.The new method called Laguerre-RPIM retains the advantages of both the node-based meshless method and the unconditionally stable scheme of weighted Laguerre polynomials. The accuracy and efficiency of the proposed method are verified through two numeral examples. It can be seen from the computational results that the proposed method has a high accuracy and still remains stable when time step is 10 times of the Courant stability condition. Computational cost can be saved by more than 70% compared with the conventional RPIM method.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.