A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
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Revised: 22 June 2009
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.
Mathematics Subject Classification: 65R20 / 15A12 / 65N38 / 65F10 / 65Z05
Key words: Electromagnetic scattering / boundary integral equations / impedance boundary condition / preconditioner
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