Local Time-Stepping Scheme for Arbitrary High-Order DGTD Method

In this paper, an arbitrary high-order (ADER)-DGTD method with a local time-stepping (LTS) scheme for electromagnetic modeling is proposed. The stability condition of the proposed LTS-ADER-DGTD method is not limited by the smallest time step size, which allows elements to update themselves with individual time step sizes in accordance with the local stability condition. Moreover, the accuracy of the LTS-ADER-DGTD method will not be reduced, which is the biggest advantage over LTS-leap-frog (LF) time discretization schemes. The superiority of the LTS-ADER-DGTD method is demonstrated by analyzing the resonant frequency of cavity and FSS structures.