Higher-order HDGTD Method for Electromagnetic Problems with Locally Refined Meshes

This work presents a hybridizable discontinuous Galerkin time-domain (HDGTD) method for solving the 3-D electromagnetic problems with locally refined meshes. We use higher-order hierarchical vector basis functions and using unstructured tetrahedral meshes to divide the entire simulation domain. Compared with discontinuous Galerkin time domain (DGTD) method, HDGTD has fewer number of degrees of freedom (DOFs) and a larger suitable time step.