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A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition

Published online by Cambridge University Press:  17 March 2010

Sébastien Pernet
Sébastien Pernet*
Affiliation:
CERFACS, 42 avenue Gaspard Coriolis, 31057 Toulouse Cedex 01, France. sebastien.pernet@cerfacs.fr
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Abstract

The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.

Keywords

Electromagnetic scatteringboundary integral equationsimpedance boundary conditionpreconditioner
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 4 , July 2010 , pp. 781 - 801
Copyright
© EDP Sciences, SMAI, 2010

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