A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
Sébastien Pernet (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.