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.
Sifuentes, Josef A., and Shari Moskow. "Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results." SIAM Journal on Scientific Computing 40, no. 4 (2018): B1007-B1019.
SIAM Journal on Scientific Computing