@Article{IJNAM-6-193,
author = {},
title = {Development of a $hp$-Like Discontinuous Galerkin Time-Domain Method on Non-Conforming Simplicial Meshes for Electromagnetic Wave Propagation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {2},
pages = {193--216},
abstract = {<p style="text-align: justify;">This work is concerned with the design of a $hp$-like discontinuous
Galerkin (DG) method for solving the two-dimensional time-domain Maxwell
equations on non-conforming locally refined triangular meshes. The proposed
DG method allows non-conforming meshes with arbitrary-level hanging nodes.
This method combines a centered approximation for the evaluation of fluxes at
the interface between neighboring elements of the mesh, with a leap-frog time
integration scheme. It is an extension of the DG formulation recently studied
in [13]. Several numerical results are presented to illustrate the efficiency and
the accuracy of the method, but also to discuss its limitations, through a set
of 2D propagation problems in homogeneous and heterogeneous media.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/763.html}
}