Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation
Numerical Analysis
2018-06-13 v1
Abstract
The dispersive behavior of the recently proposed energy-conserving discontinuous Galerkin (DG) method by Fu and Shu [10] is analyzed and compared with the classical centered and upwinding DG schemes. It is shown that the new scheme gives a significant improvement over the classical centered and upwinding DG schemes in terms of dispersion error. Numerical results are presented to support the theoretical findings.
Keywords
Cite
@article{arxiv.1806.04306,
title = {Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation},
author = {Mark Ainsworth and Guosheng Fu},
journal= {arXiv preprint arXiv:1806.04306},
year = {2018}
}
Comments
17 pages, 6 figures