Improving iterative solutions of the electric-field integral equation via transformations into normal equations
Journal of Electromagnetic Waves and Applications
Taylor and Francis
2129 - 2138
Item Usage Stats
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.
Generalized minimal residual algorithms
Multi-level fast multi-pole algorithm
Number of iterations
Published Version (Please cite this version)http://dx.doi.org/10.1163/156939310793699082
Showing items related by title, author, creator and subject.
Gürel, Levent (IEEE, 2014)For more than two decades, several forms of fast multipole methods have been extremely successful in various scientific disciplines. Reduced complexity solutions are obtained for solving different forms of equations that ...
Buyukdagli, S. (Institute of Physics Publishing, 2015)Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme ...
Adjabi, Y.; Jrad F.; Kessi, A.; Muǧan, U. (2009)The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ...