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We present a method to precondition the discretized Lippmann--Schwinger integral equations to model scattering of time-harmonic acoustic waves through a thin inhomogeneous scattering medium. The preconditioner is based on asymptotic results as the thickness of the third component direction goes to zero and requires solving a two dimensional formulation of the problem at the preconditioning step.

Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results