@Article{CiCP-21-4,
author = {},
title = {Simulation of Maxwell's Equations on GPU Using a High-Order Error-Minimized Scheme},
journal = {Communications in Computational Physics},
year = {2017},
volume = {21},
number = {4},
pages = {1039--1064},
abstract = {<p style="text-align: justify;">In this study an explicit Finite Difference Method (FDM) based scheme is developed
to solve the Maxwell&#39;s equations in time domain for a lossless medium. This
manuscript focuses on two unique aspects – the three dimensional time-accurate discretization
of the hyperbolic system of Maxwell equations in three-point non-staggered
grid stencil and it&#39;s application to parallel computing through the use of Graphics Processing
Units (GPU). The proposed temporal scheme is symplectic, thus permitting
conservation of all Hamiltonians in the Maxwell equation. Moreover, to enable accurate
predictions over large time frames, a phase velocity preserving scheme is developed
for treatment of the spatial derivative terms. As a result, the chosen time
increment and grid spacing can be optimally coupled. An additional theoretical investigation
into this pairing is also shown. Finally, the application of the proposed scheme
to parallel computing using one Nvidia K20 Tesla GPU card is demonstrated. For the
benchmarks performed, the parallel speedup when compared to a single core of an
Intel i7-4820K CPU is approximately 190x.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0079},
url = {https://global-sci.com/article/80110/simulation-of-maxwells-equations-on-gpu-using-a-high-order-error-minimized-scheme}
}