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Investigation of the stability of time-domain magnetic field integral equations based on marching on-in time algorithm

Li Jin-Yan Nie Zai-Ping Zhao Yan-Wen

Investigation of the stability of time-domain magnetic field integral equations based on marching on-in time algorithm

Li Jin-Yan, Nie Zai-Ping, Zhao Yan-Wen
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Publishing process
  • Received Date:  08 October 2012
  • Accepted Date:  12 December 2012
  • Published Online:  05 May 2013

Investigation of the stability of time-domain magnetic field integral equations based on marching on-in time algorithm

  • 1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61171046, 60971033, 60931004, 61231001), and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No. IRT1113).

Abstract: A sufficient stability condition for time-domain magnetic field integral equations (TDMFIE) based on marching on-in time (MOT) algorithm is obtained through theoretical derivation using the norm. If the condition is satisfied, it can be ensured that the computational results will always be stable in late-time no matter what kind of incident wave is. Moreover, a factor expressing the recursive relationship of the currents is obtained, which can represent the constringency of the currents. Finally, the sufficient stability condition is validated by numerical results. Meanwhile, the numerical results also verify that the factor can be used to represent the stability of the currents.

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