High-order RKDG Methods for Computational Electromagnetics

@article{Chen2005HighorderRM,
  title={High-order RKDG Methods for Computational Electromagnetics},
  author={Min-Hung Chen and Bernardo Cockburn and Fernando Reitich},
  journal={J. Sci. Comput.},
  year={2005},
  volume={22},
  pages={205-226}
}
In this paper we introduce a new RKDG method for problems of wave propagation that achieves full high-order convergence in time and space. The novelty of the method resides in the way in which it marches in time. It uses an mth-order, m-stage, low storage SSP-RK scheme which is an extension to a class of non-autonomous linear systems of a recently designed method for autonomous linear systems. This extension allows for a high-order accurate treatment of the inhomogeneous, time-dependent terms… CONTINUE READING
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