A DGTD algorithm with dynamic h-adaptation and local time-stepping for solving Maxwell's equations

Chao Ping Lin, Su Yan, Robert R. Arslanbekov, Vladimir Kolobov, Jian Ming Jin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the simulation of electromagnetic (EM) scattering under the excitation of an EM pulse, high spatial resolution is needed in the regions with fast field oscillations, which propagate in space and time. The use of a uniformly dense mesh in the entire solution domain would increase the number of degrees of freedom and the resulting simulation time significantly. To efficiently capture the variation of EM fields, a discontinuous Galerkin time-domain algorithm with dynamic h-adaptation is presented, which changes the resolution of each mesh element in real time based on the gradient of EM fields. Also, it is combined with a local time-stepping scheme to alleviate the restriction on time step size due to the stability condition. It is shown by a numerical example that with the method presented in this paper, the computational time can be reduced effectively.

Original languageEnglish (US)
Title of host publication2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2079-2080
Number of pages2
ISBN (Electronic)9781509028863
DOIs
StatePublished - Oct 25 2016
Event2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Fajardo, Puerto Rico
Duration: Jun 26 2016Jul 1 2016

Publication series

Name2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings

Other

Other2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
CountryPuerto Rico
CityFajardo
Period6/26/167/1/16

ASJC Scopus subject areas

  • Instrumentation
  • Radiation
  • Computer Networks and Communications

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  • Cite this

    Lin, C. P., Yan, S., Arslanbekov, R. R., Kolobov, V., & Jin, J. M. (2016). A DGTD algorithm with dynamic h-adaptation and local time-stepping for solving Maxwell's equations. In 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings (pp. 2079-2080). [7696746] (2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.2016.7696746