IMPROVING ITERATIVE SOLUTIONS OF THE ELECTRIC-FIELD INTEGRAL EQUATION VIA TRANSFORMATIONS INTO NORMAL EQUATIONS

Download

index.pdf

Date

2010-01-01

Author

Ergül, Özgür Salih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

214
views

0
downloads

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.

Subject Keywords

Electrical and Electronic Engineering, General Physics and Astronomy, Electronic, Optical and Magnetic Materials

URI

https://hdl.handle.net/11511/47596

Journal

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

DOI

https://doi.org/10.1163/156939310793699082

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Efficient solution of the electric-field integral equation using the iterative LSQR algorithm Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-01-01) In this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) can be improved by employing an iterative least-squares QR (LSQR) algorithm. Compared to many other Krylov subspace methods, LSQR provides faster convergence and it becomes an alternative choice to the time-efficient no-restart generalized minimal residual (GMRES) algorithm that requires la...
An efficient solution of the generalized eigenvalue problems for planar transmission lines Prakash, VVS; Kuzuoğlu, Mustafa; Mittra, R (Wiley, 2001-11-05) This paper presents an efficient solution for solving the generalized eigenvalue equation arising in the finite-element (FE) formulation of propagation characterization of planar transmission-line structures. A two-dimensional (2-D) finite-element method (FEM) is used for analyzing the uniform planar transmission lines. The Arnoldi algorithm is used in conjunction with the multifrontal decomposition of the system matrix for solving the eigensystem. Convergence is typically obtained within a few iterations o...
Numerical Constructions of Testing Functions for Improving the Accuracy of MFIE and CFIE in Multi-Frequency Applications Karaosmanoglu, Bariscan; Altinoklu, Askin; Ergül, Özgür Salih (EMW Publishing, 2016-01-01) We present a new approach based on numerical constructions of testing functions for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) with low-order discretizations. Considering numerical solutions, testing functions are designed by enforcing the compatibility of the MFIE systems with the accurate coefficients obtained by solving the electric-field integral equation (EFIE). We demonstrate the accuracy improvements on scattering problems, wh...
Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit Aydogdu, Oktay; Sever, Ramazan (Elsevier BV, 2010-02-01) We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energ...
Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01) We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...

Citation Formats

Ö. S. Ergül, “IMPROVING ITERATIVE SOLUTIONS OF THE ELECTRIC-FIELD INTEGRAL EQUATION VIA TRANSFORMATIONS INTO NORMAL EQUATIONS,” JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, pp. 2129–2138, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47596.