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An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions

Published online by Cambridge University Press:  03 June 2015

D. Levadoux ,
F. Millot  and
S. Pernet
D. Levadoux*
Affiliation:
ONERA, French Aerospace Lab, Chemin de la humière 91761 Palaiseau, France
F. Millot*
Affiliation:
CERFACS 42 avenue G. Coriolis31057 Toulouse, France
S. Pernet*
Affiliation:
ONERA, French Aerospace Lab, 2 Avenue Édouard Belin, 31000 Toulouse, France
*
Email:[email protected]
Email:[email protected]
Corresponding author.Email:[email protected]
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Abstract

This paper concerns the electromagnetic scattering by arbitrary shaped three dimensional imperfectly conducting objects modeled with non-constant Leontovitch impedance boundary condition. It has two objectives. Firstly, the intrinsically well-conditioned integral equation (noted GCSIE) proposed in [30] is described focusing on its discretization. Secondly, we highlight the potential of this method by comparison with two other methods, the first being a two currents formulation in which the impedance condition is implicitly imposed and whose the convergence is quasi-optimal for Lipschitz polyhedron, the second being a CFIE-like formulation [14]. In particular, we prove that the new approach is less costly in term of CPU time and gives a more accurate solution than that obtained from the CFIE formulation. Finally, as expected, It is demonstrated that no preconditioner is needed for this formulation.

Keywords

65R2015A1265N3865F1065Z05Integral equationboundary element methodimpedance boundary equationpreconditionerGMRESfast multipole method
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 5 , May 2014 , pp. 1431 - 1460
Copyright
Copyright © Global Science Press Limited 2014

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