An efficient preconditioner for linear systems issued from the finite-element method for scattering problems

Author

Perrussel, Ronan ; Nicolas, Laurent ; Musy, François

Author_Institution

Ecole Centrale de Lyon, Ecully, France

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1080

Lastpage

1083

Abstract

An efficient preconditioner for systems issued from the finite element discretization of time harmonic Maxwell´s equations with absorbing boundary conditions is presented. It is based on the Helmholtz decomposition of the electromagnetic field and its discrete counterpart. It is compared to a classical preconditioner on both simple and realistic problems. Its behavior is also evaluated on meshes showing different characteristics.

Keywords

Helmholtz equations; Maxwell equations; boundary-value problems; electromagnetic fields; electromagnetic wave scattering; finite element analysis; linear systems; mesh generation; Helmholtz decomposition; Maxwell equations; absorbing boundary conditions; electromagnetic fields; finite element discretization; finite-element method; linear systems; numerical analysis; preconditioners; scattering problems; time harmonic equation; Boundary conditions; Electromagnetic fields; Electromagnetic scattering; Finite element methods; Kernel; Laboratories; Linear systems; Maxwell equations; Numerical analysis; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.824734

Filename

1284605