Abstract
Localizing modes provide an effective basis for developing efficient, error-controlled factorizations of the dense matrices encountered in integral equation formulations of wave phenomena at low to moderate frequencies. An essential component of these factorization algorithms is the numerical determination of the underlying localizing modes. This communication describes the details of an efficient procedure for computing the so-called non-overlapping, localizing modes. The principle component of the procedure is a QR-like factorization of the sparse multilevel data structure used to compress discrete integral operators. Numerical examples demonstrate the performance of the algorithm.
| Original language | English |
|---|---|
| Article number | 5484691 |
| Pages (from-to) | 3044-3049 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Antennas and Propagation |
| Volume | 58 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2010 |
Bibliographical note
Funding Information:Manuscript received March 02, 2009; revised November 04, 2009; accepted March 20, 2010. Date of publication June 14, 2010; date of current version September 03, 2010. This work was supported by the Office of Naval Research (N00014-04-1-0485) and the National Science Foundation (ECS-0547497).
Funding
Manuscript received March 02, 2009; revised November 04, 2009; accepted March 20, 2010. Date of publication June 14, 2010; date of current version September 03, 2010. This work was supported by the Office of Naval Research (N00014-04-1-0485) and the National Science Foundation (ECS-0547497).
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | ECS-0547497 |
| Office of Naval Research | N00014-04-1-0485 |
Keywords
- Electromagnetic fields
- electromagnetic propagation
- electromagnetic scattering
- fast solvers
- linear algebra
ASJC Scopus subject areas
- Electrical and Electronic Engineering