Observed Baseline Convergence Rates and Superconvergence in the Scattering Cross Section Obtained From Numerical Solutions of the MFIE

Author

Peterson, Andrew F.

Author_Institution

Sch. of ECE, Georgia Inst. of Technol., Atlanta, GA

Volume

56

Issue

11

fYear

2008

Firstpage

3510

Lastpage

3515

Abstract

The scattering cross section data obtained from numerical solutions of the magnetic field integral equation (MFIE), using a variety of basis functions and both Galerkin and non-Galerkin testing schemes, are compared to study the convergence rates of the results. For the basis functions considered, apparent superconvergence is observed in the MFIE scattering cross section when linear tangential/linear normal vector basis functions are used with Galerkin testing, but not with other basis functions.

Keywords

Galerkin method; convergence of numerical methods; electromagnetic fields; electromagnetic wave scattering; integral equations; vectors; Galerkin testing scheme; baseline convergence rates; linear normal vector basis functions; linear tangential vector basis functions; magnetic field integral equation; nonGalerkin testing scheme; numerical solutions; scattering cross section; Convergence of numerical methods; Integral equations; Magnetic fields; Moment methods; Scattering; Testing; Vectors; Boundary element method; Galerkin method; higher order basis functions; integral equation; method of moments (MoM); variational techniques;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2008.2005461

Filename

4685879