EFIE analysis of low-frequency problems with loop-star decomposition and Calderón multiplicative preconditioner

Su Yan, Jian Ming Jin, Zaiping Nie

Research output: Contribution to journalArticlepeer-review

Abstract

Low-frequency electromagnetic problems are analyzed using the electric field integral equation (EFIE) with loop-star basis functions to alleviate the low-frequency breakdown problem. By constructing the loop-star basis functions with the curvilinear RWG (CRWG) basis and the Buffa-Christiansen (BC) basis, respectively, the recently proposed Calderón multiplicative preconditioner (CMP) is improved to become applicable at low frequencies. The Gram matrix arisen from CRWG loop-star basis and BC loop-star basis is studied in detail. A direct solution approach is introduced to solve the Gram matrix equation. The proposed Calderón preconditioner improves the condition of the EFIE operator at low frequencies, which results in a fast convergence of the preconditioned EFIE system. Several numerical examples demonstrate the fast and mesh-independent convergence of the preconditioned system.

Original languageEnglish (US)
Article number5371943
Pages (from-to)857-867
Number of pages11
JournalIEEE Transactions on Antennas and Propagation
Volume58
Issue number3
DOIs
StatePublished - Mar 2010

Keywords

  • Buffa-Christiansen basis functions
  • Calderón multiplicative preconditioner
  • Electric field integral equation (EFIE)
  • Loop-star decomposition
  • Low-frequency problems
  • Method of moments

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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