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.
|Number of pages||15|
|Journal||IEEE Transactions on Antennas and Propagation|
|Issue number||8 I|
|State||Published - 2008|
Bibliographical noteFunding 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