Reconstruction of penetrable obstacles in the anisotropic acoustic scattering

2014/02/14 by Lin, Yi-Hsuan
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.3574

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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