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Summary: An integral preconditioner for solving the
electromagnetic scattering problem by
dielectric media using integral equations
Xavier Antoine a,b
Yassine Boubendir c
aInstitut National Polytechnique de Lorraine (INPL), Ecole Nationale Sup´erieure
des Mines de Nancy, D´epartement de G´enie Industriel, Parc de Saurupt, CS 14
234, 54042 Nancy cedex, France.
E-mail: Xavier.Antoine@mines.inpl-nancy.fr
bInstitut Elie Cartan Nancy (IECN) and INRIA-CORIDA team, Universit´e Henri
Poincar´e Nancy 1, B.P. 239, F-54506 Vandoeuvre-l`es-Nancy Cedex, France.
E-mail: Xavier.Antoine@iecn.u-nancy.fr
cSchool of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church
St., S. E. Minneapolis, MN 55455, USA.
E-mail: boubendi@math.umn.edu
Abstract
The solution of the electromagnetic scattering problem by an homogeneous dielectric
cylinder of arbitrary shape is considered. The numerical approach is based on a
system of integral equations solved by a Krylov subspace method. To accelerate
and to improve the convergence of this solver, an efficient and robust preconditioner,
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