Non-conformal domain decomposition methods for modeling em problems with repetitions

Jin Fa Lee, Zhen Peng

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We proposed a non-conformal domain decomposition method (NC-DDM) for solving electromagnetic problems with significant repetitions: such as large finite antenna arrays, frequency selective surfaces, and metamaterials, to name just a few. To further improve the convergence in the DDM iterations, an optimal 2 nd order transmission condition is introduced to enforce field continuities across domain interfaces. Moreover, many electromagnetic problems with repetitions are also electrically large. Consequently, the use of absorbing boundary condition may not be adequate as an accurate mesh truncation method. Herein, we combine directly the finite element domain decomposition method with a generalized combined field integral equation and form automatically the hybrid finite element and boundary integral (FEBI) method. The use of the boundary integral method, arguably, offers the best accuracy for modeling unbounded electromagnetic radiation and scattering problems, albeit at the increases of memory and CPU times. Furthermore, the finite element tearing and interconnecting (FETI) method is employed to take advantage of the repetitions to drastically reduce the computational resources.

Original languageEnglish (US)
Title of host publicationIMS 2012 - 2012 IEEE MTT-S International Microwave Symposium
StatePublished - 2012
Externally publishedYes
Event2012 IEEE MTT-S International Microwave Symposium, IMS 2012 - Montreal, QC, Canada
Duration: Jun 17 2012Jun 22 2012

Publication series

NameIEEE MTT-S International Microwave Symposium Digest
ISSN (Print)0149-645X


Other2012 IEEE MTT-S International Microwave Symposium, IMS 2012
CityMontreal, QC


  • Antenna array
  • Computational electromagnetics
  • Finite element method
  • Integral equation

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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