Modular fast direct electromagnetic analysis using local-global solution modes

Robert J. Adams, Yuan Xu, Xin Xu, Jun Shik Choi, Stephen D. Gedney, Francis X. Canning

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


Local-global solution (LOGOS) modes provide a computationally efficient framework for developing fast, direct solution methods for electromagnetic simulations. LOGOS modes provide a single basis for which both electromagnetic operators and their inverses are sparse with a controllable accuracy. For fixed-frequency modeling with h-refinement, efficient application of this observation is shown to provide efficient factorization algorithms for both integral equation and finite element methods. In addition to providing fast, direct solutions, the LOGOS framework is also shown to provide a new strategy for modular electromagnetic analysis. The possibility of developing efficient direct solution strategies at high frequencies using the LOGOS framework is also discussed.

Original languageEnglish
Pages (from-to)2427-2441
Number of pages15
JournalIEEE Transactions on Antennas and Propagation
Issue number8 I
StatePublished - 2008

Bibliographical note

Funding Information:
Manuscript received July 1, 2007; revised April 11, 2008. Published August 6, 2008 (projected). This work was supported in part by the Office of Naval Research (N00014-04-1-0485), the National Science Foundation (ECS-0547497), and in part by NASA (NNJ07HD05P).


  • Electric field integral equation (EFIE)
  • Finite element methods (FEMs)
  • Integral equations (IEs)
  • Numerical analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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