Incorporation of exact boundary conditions into a discontinuous Galerkin finite element method for accurately solving 2D time-dependent Maxwell equations

K. Sirenko, M. Liu, and H. Bagci

Exact absorbing boundary conditions, numerical analysis, time domain analysis, time domain discontinuous Galerkin finite element method, waveguides

2013

A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs.