Product-type block preconditioners for electromagnetic cavity problems

Yu Mei Huang*, Kwok Po NG

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

1 Citation (Scopus)


In a radar detecting system, the radar cross section (RCS) of a target is an important application in electromagnetics computation. Cavity prediction is usually required in the computation process. When wavelengths of electromagnetic field are large, cavity calculation is a challenging problem. The main aim of this paper is to employ the preconditioned GMRES method to solve linear systems arising in cavity calculation of the transverse magnetic and transverse electric problems. We develop new preconditioners based on fast transforms and Toeplitz solvers. Our numerical results show that the proposed preconditioners are quite efficient and effective, especially when the wavelength is large.

Original languageEnglish
Pages (from-to)1741-1751
Number of pages11
JournalApplied Mathematics and Computation
Issue number6
Publication statusPublished - 15 May 2010

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Block preconditioner
  • Discrete transform
  • Electromagnetic cavity
  • Helmholtz equation
  • Toeplitz


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