Non-conformal domain decomposition methodsfor time-harmonic maxwell equations

Yang Shao, Zhen Peng, Kheng Hwee Lim, Jin Fa Lee

Research output: Contribution to journalReview articlepeer-review

Abstract

We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, a finite-element DDM, together with a finite-element tearing and interconnecting (FETI)-like algorithm, incorporating Robin transmission conditions and an edge corner penalty term, are discussed in detail. We address in full the formulations, and subsequently, their applications to problems with significant amounts of repetitions. The non-conformal DDM approach has also been extended into surface integral equation methods. We elucidate a non-conformal integral equation domain decomposition method and a generalized combined field integral equation method for modelling EM wave scattering from non-penetrable and penetrable targets, respectively. Moreover, a plane wave scattering from a composite mockup fighter jet has been simulated using the newly developed multi-solver domain decomposition method.

Original languageEnglish (US)
Pages (from-to)2433-2460
Number of pages28
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume468
Issue number2145
DOIs
StatePublished - Sep 8 2012
Externally publishedYes

Keywords

  • Domain decomposition method
  • Generalized combined field integral equation
  • Integral equation domain decomposition method
  • Multi-solver domain decomposition method
  • Surface integral equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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