Multilevel matrix decomposition algorithm for analysis of electrically large electromagnetic problems in 3-D

Authors
Rius, JM Parron, J Ubeda, E Mosig, JR
Citation
Jm. Rius et al., Multilevel matrix decomposition algorithm for analysis of electrically large electromagnetic problems in 3-D, MICROW OPT, 22(3), 1999, pp. 177-182
Citations number
16
Categorie Soggetti
Optics & Acoustics
Journal title
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS
ISSN journal
08952477 → ACNP
Volume
22
Issue
3
Year of publication
1999
Pages
177 - 182
Database
ISI
SICI code
0895-2477(19990805)22:3<177:MMDAFA>2.0.ZU;2-U
Abstract
The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3-D for the solution of large electromagnetic problems. The electric fie ld integral equation is solved for arbitrary surfaces discretized using N R ao, Wilton, and Glisson basis functions. The MLMDA accelerates the matrix-v ector products in a conjugate gradient or biconjugate gradient iterative so lution of the resulting system of equations. The computational cost of each iteration is proportional to N log(2) N for very large problems, and is pa rticularly small for planar or piecewise planar objects. (C) 1999 John Wile y & Sons, Inc.