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Applying p-Step Lagrange Interpolation as Temporal Basis Functions to TDFEM for 3-D EM Radiation Problems

Applying p-Step Lagrange Interpolation as Temporal Basis Functions to TDFEM for 3-D EM Radiation Problems
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摘要 Accurate simulations of ultra-wideband (UWB) electromagnetic radiation from an antenna were developed based on a time-domain finite element method (TDFEM) based on p-step Lagrange interpolation for the temporal expansion. The motivation was to utilize the good interpolation features and straightforward computations for UWB antenna simulations. Numerical results were obtained from the cases of the cavity resonance problem, a bowtie and a Sierpinski bowtie antenna. Comparisons with an existing TDFEM approach employed linear temporal basis functions show good agreement to demonstrate the validity of the present schemes. The TDFEM with 2-step Lagrange interpolation as the temporal basis functions achieves better numerical results with only a small increase to run time and memory use in terms of the relative errors of the resonant frequency in the cavity for the transverse electric mode and the radiation patterns of the bowtie antenna. Accurate simulations of ultra-wideband (UWB) electromagnetic radiation from an antenna were developed based on a time-domain finite element method (TDFEM) based on p-step Lagrange interpolation for the temporal expansion. The motivation was to utilize the good interpolation features and straightforward computations for UWB antenna simulations. Numerical results were obtained from the cases of the cavity resonance problem, a bowtie and a Sierpinski bowtie antenna. Comparisons with an existing TDFEM approach employed linear temporal basis functions show good agreement to demonstrate the validity of the present schemes. The TDFEM with 2-step Lagrange interpolation as the temporal basis functions achieves better numerical results with only a small increase to run time and memory use in terms of the relative errors of the resonant frequency in the cavity for the transverse electric mode and the radiation patterns of the bowtie antenna.
作者 吴霞 周乐柱
出处 《Tsinghua Science and Technology》 SCIE EI CAS 2010年第3期307-311,共5页 清华大学学报(自然科学版(英文版)
关键词 time-domain finite element method p-step Lagrange interpolation temporal basis function electromagnetic radiation ultra-wideband antenna time-domain finite element method p-step Lagrange interpolation temporal basis function electromagnetic radiation ultra-wideband antenna
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参考文献13

  • 1Jin J M. The Finite Element Method in Eleetromagnetics. 2nd Ed. New York: Wiley, 2002.
  • 2Taflove A. Computational Electrodynamics: The Fi- nite-Difference Time-Domain Method. MA: Artech House, 1995.
  • 3Cangellaris A, Lin C, Mei K. Point-matched time domain finite element methods for electromagnetic radiation and scattering. IEEE Trans. Antennas Propagat., 1987, 35(10): 1160-1173.
  • 4Gedney S D, Navsariwala U. An unconditionally stable finite element time-domain solution of the vector wave equation. IEEE Microw. Guided Wave Lett., 1995, 5(10): 332-334.
  • 5Jeffi-eys H, Jeffreys B S. Lagrange's Interpolation Formula, 9.011 in Methods of Mathematical Physics. 3rd Ed. Cambridge, England: Cambridge University Press, 1988.
  • 6Lee Jin-Fa, Sacks Z. Whitney elements time domain (WETD) methods. 1EEE Trans. Magnetics, 1995, 31(3): 1325-1329.
  • 7Sacks Z S, Kingsland D M, Lee R, et al. A perfectly matched anisotropic absorber for use as an absorbing boundary condition. IEEE Trans. Antennas Propagat., 1995, 43(12): 1460-1463.
  • 8Zienkiewicz O C, Taylor R L. The Finite Element Method: Volume 1. 5th Ed. Oxford, Boston: Butterworth-Heinemann, 2000.
  • 9Lou Z, Jin J M. Modeling and simulation of broad-band antennas using the time-domain finite element method. IEEE Trans. Antennas Propagat., 2005, 53(12): 4099- 4110.
  • 10Newmark N. A method of computation for structural dynamics. J. Eng. Mech. Division, 1959, 85: 67-94.

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