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We consider the Helmholtz problem with source term in an anisotropic domain of. The aim of this paper is to investigate the interplay between the geometry and analysis of elliptic equations under small perturbation of domain. The solving of this problem, anisotropic as well as isotropic case, is based on integral equations. We exhibit the Lippmann-Schwinger integral equation in the presence of finite number of anisotropic inclusions of small diameter. We derive some results for convergence estimates.

An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions