Comparison of local radiation boundary conditions for the scalar Helmholtz equation with general boundary shapes

Author

Meade, Douglas B. ; Slade, G. William ; Peterson, Andrew F. ; Webb, Kevin J.

Author_Institution

Dept. of Math., South Carolina Univ., Columbia, SC, USA

Volume

43

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

6

Lastpage

10

Abstract

The relative accuracy of several local radiation boundary conditions based on the second-order Bayliss-Turkel (1980) condition are evaluated. These boundary conditions permit the approximate solution of the scalar Helmholtz equation in an infinite domain using traditional finite element and finite difference techniques. Unlike the standard Bayliss-Turkel condition, the generalizations considered here are applicable to noncircular solution domains. The accuracy of these conditions are investigated for elliptical and linear/circular boundaries

Keywords

Helmholtz equations; approximation theory; boundary-value problems; electromagnetic wave scattering; EM scattering; approximate solution; elliptical boundaries; finite difference techniques; finite element techniques; general boundary shapes; infinite domain; linear/circular boundaries; local radiation boundary conditions; noncircular solution domains; scalar Helmholtz equation; second-order Bayliss-Turkel condition; Australia; Boundary conditions; Differential equations; Finite element methods; Gold; Mathematics; Numerical analysis; Scattering; Shape; Yttrium;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.366346

Filename

366346