A nonuniform time-stepping scheme for nonlinear electromagnetic analysis using time-domain finite element method

Su Yan, Joseph Kotulski, Chao Fu Wang, Jianming Jin

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

Abstract

In the time-domain finite element analysis of electromagnetic problems, the spatial discretization of the wave equation results in a second-order ordinary differential equation, which is usually discretized in the time domain with the Newmark-β method due to its second-order accuracy and unconditional stability. However, the commonly used uniform time-stepping scheme is not always the optimal choice. In this paper, a nonuniform time-stepping scheme is derived using the weighted residual approach. With the proposed method, the time-stepping sizes can be chosen according to the variation of the externally applied signal, which reduces the total number of time steps significantly. The nonlinear electromagnetic problem is analyzed with the proposed method, and its accuracy and efficiency are investigated and compared with the traditional uniform time-stepping scheme.

Original languageEnglish (US)
Title of host publication2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1895-1896
Number of pages2
ISBN (Electronic)9781479935406
DOIs
StatePublished - Sep 18 2014
Event2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014 - Memphis, United States
Duration: Jul 6 2014Jul 11 2014

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)1522-3965

Other

Other2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
CountryUnited States
CityMemphis
Period7/6/147/11/14

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Yan, S., Kotulski, J., Wang, C. F., & Jin, J. (2014). A nonuniform time-stepping scheme for nonlinear electromagnetic analysis using time-domain finite element method. In 2014 IEEE Antennas and Propagation Society International Symposium(APSURSI) (pp. 1895-1896). [6905274] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.2014.6905274