1. Modular Fast Direct Electromagnetic Analysis Using Local-Global Solution Modes.
- Author
-
Adams, Robert J., Yuan Xu, Xin Xu, Jun-shik Choi, Gedney, Stephen D., and Canning, Francis X.
- Subjects
- *
FINITE element method , *NUMERICAL analysis , *MATHEMATICS , *ALGORITHMS , *INTEGRAL equations , *CAD/CAM systems , *ELECTROMAGNETIC waves , *ELECTROMAGNETISM , *ANTENNA radiation patterns , *FIELD theory (Physics) - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2008
- Full Text
- View/download PDF