TY - GEN
T1 - A nonuniform time-stepping scheme for nonlinear electromagnetic analysis using time-domain finite element method
AU - Yan, Su
AU - Kotulski, Joseph
AU - Wang, Chao Fu
AU - Jin, Jian Ming
N1 - Publisher Copyright:
© 2014 IEEE.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2014/9/18
Y1 - 2014/9/18
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84907880445&partnerID=8YFLogxK
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U2 - 10.1109/APS.2014.6905274
DO - 10.1109/APS.2014.6905274
M3 - Conference contribution
AN - SCOPUS:84907880445
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 1895
EP - 1896
BT - 2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
Y2 - 6 July 2014 through 11 July 2014
ER -