Discontinuous galerkin implementation of domain decomposition time-domain finite-element method

Abstract

A discontinuous Galerkin time-domain finite-element method (DG-TDFEM) is developed for modeling wideband EM response of dielectric loaded waveguide structures. It can be considered as a kind of domain decomposition method (DDM). The hierarchical vector basis functions are used to expand the electric and magnetic fields to maintain high order accuracy and Crank-Nicolson (CN) difference scheme is utilized for the time-partial equation for each subdomain. The fields in adjacent subdomains are directly related to each other by the fields on their interfaces. Thus, there is no need to solve a global matrix equation related to all boundary values. The complex frequency-shifted perfectly matched layers (CFS-PML) are used for the truncation of solution domain. 3-dimensional cavity and waveguide structure with dielectric loading are simulated to demonstrate the accuracy and efficiency of the proposed method.