Improving iterative solutions of the electric-field integral equation via transformations into normal equations
Date
2012-04-03
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Electromagnetic Waves and Applications
Print ISSN
0920-5071
Electronic ISSN
Publisher
Taylor and Francis
Volume
24
Issue
16
Pages
2129 - 2138
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the GMRES algorithm is reduced by more than 50%, which is significant when the problem size is large.
Course
Other identifiers
Book Title
Keywords
Conducting objects , Dense matrices , Discretizations , Electromagnetics , Generalized minimal residual algorithms , GMRES algorithm , Iterative solutions , Matrix equations , Multi-level fast multi-pole algorithm , Normal equations , Number of iterations , Problem size , Algorithms , Antennas , Integral equations