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

Su Yan, Jianming Jin

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509012596
DOIs
StatePublished - May 4 2016
EventIEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Honolulu, United States
Duration: Mar 13 2016Mar 17 2016

Other

OtherIEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016
CountryUnited States
CityHonolulu
Period3/13/163/17/16

ASJC Scopus subject areas

  • Computational Mathematics
  • Signal Processing
  • Instrumentation
  • Computer Networks and Communications

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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 [7465470] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ROPACES.2016.7465470