Open AccessIncorporation of Exact Boundary Conditions into a Discontinuous Galerkin Finite Element Method for Accurately Solving 2D Time-Dependent Maxwell Equations
Author(s) -
Kostyantyn Sirenko,
Meilin Liu,
Hakan Bagci
Publication year - 2012
Publication title -
ieee transactions on antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.652
H-Index - 200
eISSN - 1558-2221
pISSN - 0018-926X
DOI - 10.1109/tap.2012.2220102
Subject(s) - fields, waves and electromagnetics , aerospace , transportation , components, circuits, devices and systems
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.