A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions

In this work, a hybridizable discontinuous Galerkin time-domain (HDGTD) method with vector basis function is proposed for the first time to simulate the 3-D electromagnetic propagation problems. The HDGTD method replaces the numerical flux in traditional discontinuous Galerkin time-domain (DGTD) method by introducing a hybrid variable, and thus it has less degrees of freedom (DOFs) than the DGTD method. In addition, by introducing the high-order hierarchical vector basis function to the HDGTD, the computational efficiency is further improved. Finally, we verify the proposed method by three examples and analyze its efficiency.