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

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

doi:10.1109/APS.2014.6905274

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 proceeding › Conference 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 language	English (US)
Title of host publication	2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1895-1896
Number of pages	2
ISBN (Electronic)	9781479935406
DOIs	https://doi.org/10.1109/APS.2014.6905274
State	Published - Sep 18 2014
Event	2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014 - Memphis, United States Duration: Jul 6 2014 → Jul 11 2014

Publication series

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

Other

Other	2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
Country	United States
City	Memphis
Period	7/6/14 → 7/11/14

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/APS.2014.6905274

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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

A nonuniform time-stepping scheme for nonlinear electromagnetic analysis using time-domain finite element method. / Yan, Su; Kotulski, Joseph; Wang, Chao Fu; Jin, Jianming.

2014 IEEE Antennas and Propagation Society International Symposium(APSURSI). Institute of Electrical and Electronics Engineers Inc., 2014. p. 1895-1896 6905274 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

Yan, S, Kotulski, J, Wang, CF & 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)., 6905274, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Institute of Electrical and Electronics Engineers Inc., pp. 1895-1896, 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014, Memphis, United States, 7/6/14. https://doi.org/10.1109/APS.2014.6905274

Yan S, Kotulski J, Wang CF, Jin J. 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). Institute of Electrical and Electronics Engineers Inc. 2014. p. 1895-1896. 6905274. (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). https://doi.org/10.1109/APS.2014.6905274

Yan, Su ; Kotulski, Joseph ; Wang, Chao Fu ; Jin, Jianming. / A nonuniform time-stepping scheme for nonlinear electromagnetic analysis using time-domain finite element method. 2014 IEEE Antennas and Propagation Society International Symposium(APSURSI). Institute of Electrical and Electronics Engineers Inc., 2014. pp. 1895-1896 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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