Discontinuous Galerkin Time Domain Method With Nonconformal Meshes and Arbitrary Order Bases

Abstract

This paper proposed a discontinuous Galerkin time domain method (DGTD) with non-conformal meshes and arbitrary order bases for the solution of electromagnetic problems. A transformation relation for the basis functions defined on the interface between two adjacent elements which are non-conformal, or have different base orders, or both of them has been developed to rapidly implement the numerical flux of the DGTD method. Numerical results are given to demonstrate good performance of the proposed method.