An Amplitude Finite Element Formulation for Multiple-Scattering by a Collection of Convex Obstacles

Author

Geuzaine, Christophe ; Vion, Alexandre ; Gaignaire, Roman ; Dular, Patrick ; Sabariego, Ruth V.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Univ. of Liege, Liége, Belgium

Volume

46

Issue

8

fYear

2010

Firstpage

2963

Lastpage

2966

Abstract

We present a multiple-scattering solver for nonconvex geometries obtained as the union of a finite number of convex obstacles. The algorithm is a finite element reformulation of a high-frequency integral equation technique proposed previously. It is based on an iterative solution of the scattering problem, where each iteration leads to the resolution of a single scattering problem in terms of a slowly oscillatory amplitude.

Keywords

electromagnetic wave scattering; finite element analysis; integral equations; amplitude finite element formulation; convex obstacles; high-frequency integral equation technique; iterative solution; multiple-scattering solver; nonconvex geometries; scattering problem; slowly oscillatory amplitude; Acoustic scattering; Code standards; Computational geometry; Electromagnetic scattering; Finite element methods; Frequency; Integral equations; Iterative algorithms; Iterative methods; Nonhomogeneous media; Finite element methods; iterative techniques; multiple electromagnetic scattering; short-wave problem;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2043419

Filename

5512973