A general time-domain finite-element method for frequency-domain solutions

Weinong Fu, Xiu Zhang, Siu Lau Ho

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


A novel and general method to quickly obtain frequency-domain solutions based on one or a few time-domain solutions is presented. The time-domain solution of electromagnetic field is found by using either two-dimensional (2-D) or three-dimensional (3-D) finite-element methods (FEM). The time-domain FEM is first used to obtain a solution for step function excitations by taking into account all the necessary initial conditions. Then, based on time-domain convolution theorem and the principle of integration by parts, a numerical algorithm to find the solutions of any excitations, without additional FEM computation, is deduced. A typical, interesting and meaningful application is to obtain the frequency-domain solutions when sweeping the operating frequency over a wide range. In this paper, a problem involving the finding of the resonant frequency of a copper loop connected with a pair of parallel plates using 3-D FEM is used as an illustrative example. The numerical experiment shows that the proposed method can reduce the computing time effectively and readily as it is easy to adjust the time step size in time-domain FEM.
Original languageEnglish
Article number6319410
Pages (from-to)1284-1289
Number of pages6
JournalIEEE Transactions on Magnetics
Issue number4
Publication statusPublished - 4 Apr 2013


  • Computing time
  • electromagnetic device
  • electromagnetic field
  • finite-element method (FEM)
  • frequency domain
  • resonant frequency
  • time domain

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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