The application of the DGTD method in the analysis of electromagnetic cavity properties

In this paper, the electromagnetic computation and simulation of a cavity filled with vacuum and dielectric are discussed. An efficient discontinuous Galerkin time domain (DGTD) method which employs an orthonormal basis (for spatial discretization) and Runge-Kutta method (for temporal integration) to solve Maxwell's equations is given in detail. Numerical experiments on different order of approximation and number of elements is performed. Compared with the exact analytical solves, the DGTD method obtains optimal convergence, slight error and robust.