@Article{AAMM-8-1,
author = {Lu, Hongqiang and Yida, Xu and Yukun, Gao and Wanglong, Qin and Sun, Qiang},
title = {A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {1},
pages = {104--116},
abstract = {<p style="text-align: justify;">In this paper, a DG (Discontinuous Galerkin) method which has been widely
employed in CFD (Computational Fluid Dynamics) is used to solve the two-dimensional
time-domain Maxwell&#39;s equations for complex geometries on unstructured
mesh. The element interfaces on solid boundary are treated in both curved way
and straight way. Numerical tests are performed for both benchmark problems and
complex cases with varying orders on a series of grids, where the high-order convergence
in accuracy can be observed. Both the curved and the straight solid boundary
implementation can give accurate RCS (Radar Cross-Section) results with sufficiently
small mesh size, but the curved solid boundary implementation can significantly
improve the accuracy when using relatively large mesh size. More importantly, this
CFD-based high-order DG method for the Maxwell&#39;s equations is very suitable for
complex geometries.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m642},
url = {https://global-sci.com/article/73323/a-high-order-discontinuous-galerkin-method-for-the-two-dimensional-time-domain-maxwells-equations-on-curved-mesh}
}