Reconstruction of penetrable obstacles in the anisotropic acoustic scattering

Abstract

We develop reconstruction schemes to determine penetrable obstacles in a region of R2 or R3 and we consider anisotropic elliptic equations. This algorithm uses oscillating-decaying solutions to the equation. We apply the oscillating-decaying solutions and the Runge approximation property to the inverse problem of identifying an inclusion in an anisotropic elliptic differential equation.

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