@Article{CiCP-21-4,
author = {},
title = {A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media},
journal = {Communications in Computational Physics},
year = {2017},
volume = {21},
number = {4},
pages = {1065--1089},
abstract = {<p style="text-align: justify;">We present a high-order discontinuous Galerkin (DG) method for the time
domain Maxwell&#39;s equations in three-dimensional heterogeneous media. New hierarchical
orthonormal basis functions on unstructured tetrahedral meshes are used for
spatial discretization while Runge-Kutta methods for time discretization. A uniaxial
perfectly matched layer (UPML) is employed to terminate the computational domain.
Exponential convergence with respect to the order of the basis functions is observed
and large parallel speedup is obtained for a plane-wave scattering model. The rapid
decay of the out-going wave in the UPML is shown in a dipole radiation simulation.
Moreover, the low frequency electromagnetic fields excited by a horizontal electric
dipole (HED) and a vertical magnetic dipole (VMD) over a layered conductive half-space
and a high frequency ground penetrating radar (GPR) detection for an underground
structure are investigated, showing the high accuracy and broadband simulation
capability of the proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0089},
url = {https://global-sci.com/article/80111/a-high-order-time-domain-discontinuous-galerkin-method-with-orthogonal-tetrahedral-basis-for-electromagnetic-simulations-in-3-d-heterogeneous-conductive-media}
}