Preconditioners for CG-FMM-FFT implementation in em analysis of large-scale periodic array antennas

Huiqing Zhai, Qiaowei Yuan, Qiang Chen, Kunio Sawaya

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this research, a sub-array preconditioner is applied to improve the convergence of conjugate gradient (CG) iterative solver in the fast multipole method and fast Fourier transform (FMM-FFT) implementation on a large-scale finite periodic array antenna with arbitrary geometry elements. The performance of the sub-array preconditioner is compared with the near-group preconditioner in the array antenna analysis. It is found that the near-group preconditioner achieves a little better convergence, while the sub-array preconditioner can be easily constructed and programmed with less CPU-time. The efficiency of the CG-FMM-FFT with high efficient preconditioner has been demonstrated in numerical analysis of a finite periodic array antenna.

Original languageEnglish
Pages (from-to)707-710
Number of pages4
JournalIEICE Transactions on Communications
Issue number3
Publication statusPublished - 2007 Mar


  • Fast Fourier transform (FFT)
  • Fast multipole method (FMM)
  • Large-scale periodic array antenna
  • Method of moments (MoM)
  • Preconditioner

ASJC Scopus subject areas

  • Software
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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