A multiplicative Calderon preconditioner for the electric field integral equation

Francesco P. Andriulli*, Kristof Cools, H. Baǧci, Femke Olyslager, Annalisa Buffa, Snorre Christiansen, Eric Michielssen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

395 Scopus citations


In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density.

Original languageEnglish (US)
Pages (from-to)2398-2412
Number of pages15
JournalIEEE Transactions on Antennas and Propagation
Issue number8 I
StatePublished - 2008
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received September 7, 2007; revised December 13, 2007. Published August 6, 2008 (projected). This work was supported by the Air Force Office of Scientific Research under Grant MURI F014432-051936, by the National Science Foundations under Grant DMS 0713771, by the Defense Advanced Research Projects Agency under Grant DSO/AFOSR F015123-052587, and by the Semiconductor Research Corporation under Grant 2006-01385-01.


  • Electric field integral equation (EFIE)
  • Integral equations
  • Numerical methods
  • Preconditioning

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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