A Model Reduction Algorithm for Solving Multiple Scattering Problems Using Iterative Methods

Author

Vion, Alexandre ; Sabariego, Ruth V. ; Geuzaine, Christophe

Author_Institution

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

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1470

Lastpage

1473

Abstract

In this paper we propose a new method for solving high-frequency scattering problems by multiple objects. A model reduction algorithm based on the macro basis function (MBF) method is used to find an approximate solution within a subspace spanned by the solutions of several single scattering subproblems. Different iterative methods for generating the MBFs are compared. The whole process relies on a finite element approach and is applied to convex obstacle scattering.

Keywords

electromagnetic wave scattering; finite element analysis; iterative methods; physics computing; reduced order systems; convex obstacle scattering; finite element approach; high-frequency scattering problems; iterative methods; macrobasis function method; model reduction algorithm; multiple scattering problems; Approximation methods; Computational modeling; Convergence; Iterative methods; Jacobian matrices; Reduced order systems; Scattering; Finite-element methods (FEMs); iterative techniques; macro basis function methods; multiple electromagnetic scattering; reduced-order systems; short-wave problem;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2078800

Filename

5754797