Comparison of convergence rates of the conjugate gradient method applied to various integral equation formulations

Author

Wheeler, J.E., III. ; Wilton, D.R.

Author_Institution

Houston Univ., TX, USA

fYear

1988

fDate

6-10 June 1988

Firstpage

229

Abstract

A comparison is presented of the relative convergence properties of the conjugate gradient method using the three principal integral equations for conducting scatterers: the electric field integral equation (EFIE), the magnetic field integral equation (MFIE), and the combined field integral equation (CFIE). The authors restrict their study to scattering by two-dimensional (cylindrical) bodies (both TM and TE polarization). This enables an easy examination of the convergence behaviour of the conjugate gradient method (CGM) for bodies which are electrically large.<>

Keywords

electric fields; electromagnetic field theory; integral equations; magnetic fields; 2D bodies; TE polarization; TM polarisation; combined field integral equation; conducting scatterers; conjugate gradient method; convergence rates; cylindrical bodies; electric field integral equation; electrically large bodies; magnetic field integral equation; Convergence; Gradient methods; Integral equations; Linear systems; Polarization; Resonance; Scattering; Tellurium; User-generated content; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1988. AP-S. Digest

Conference_Location

Syracuse, NY, USA

Type

conf

DOI

10.1109/APS.1988.94035

Filename

94035