TY - GEN
T1 - Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations
AU - Yan, Su
AU - Jin, Jian Ming
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/5/4
Y1 - 2016/5/4
N2 - 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.
AB - 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.
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U2 - 10.1109/ROPACES.2016.7465470
DO - 10.1109/ROPACES.2016.7465470
M3 - Conference contribution
AN - SCOPUS:84973575221
T3 - 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings
BT - 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016
Y2 - 13 March 2016 through 17 March 2016
ER -