Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations

Su Yan; Jianming Jin

doi:10.1109/ROPACES.2016.7465470

Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In the numerical solution of Maxwell's equations, we usually consider only Faraday's and Ampere's laws, and assume the two Gauss' laws are satisfied automatically. This will cause a significant numerical error in a self-consistent simulation of a particle-wave interaction. To remove the numerical error that comes from the violation of Gauss' laws, divergence cleaning techniques have been introduced. In this paper, the purely hyperbolic Maxwell (PHM) equations that can eliminate the numerical errors of both Gauss' laws are presented. The discontinuous Galerkin time-domain method is then applied to the numerical solution of the PHM equations, with the intermediate states and the numerical fluxes derived by solving the Riemann problem.

Original language	English (US)
Title of host publication	2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509012596
DOIs	https://doi.org/10.1109/ROPACES.2016.7465470
State	Published - May 4 2016
Event	IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Honolulu, United States Duration: Mar 13 2016 → Mar 17 2016

Other

Other	IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016
Country/Territory	United States
City	Honolulu
Period	3/13/16 → 3/17/16

ASJC Scopus subject areas

Computational Mathematics
Signal Processing
Instrumentation
Computer Networks and Communications

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10.1109/ROPACES.2016.7465470

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Yan, S., & Jin, J. (2016). Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations. In 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings Article 7465470 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ROPACES.2016.7465470

Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations. / Yan, Su; Jin, Jianming.
2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. 7465470.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yan, S & Jin, J 2016, Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations. in 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings., 7465470, Institute of Electrical and Electronics Engineers Inc., IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016, Honolulu, United States, 3/13/16. https://doi.org/10.1109/ROPACES.2016.7465470

Yan S, Jin J. Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations. In 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2016. 7465470 doi: 10.1109/ROPACES.2016.7465470

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Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations

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