Abstract
Optimization problems for a three-dimensional model of acoustic scattering are formulated and studied. These problems arise in designing tools for cloaking material bodies by applying the wave flow method. The cloaking effect is achieved due to an optimal choice of variable parameters of the inhomogeneous isotropic medium occupying the sought shell. The solvability of direct and optimization problems for the acoustic scattering model is proved, and sufficient conditions ensuring the uniqueness and stability of optimal solutions are established.
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Original Russian Text © G.V. Alekseev, A.V. Lobanov, Yu.E. Spivak, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 9, pp. 1477–1493.
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Alekseev, G.V., Lobanov, A.V. & Spivak, Y.E. Optimization method in problems of acoustic cloaking of material bodies. Comput. Math. and Math. Phys. 57, 1459–1474 (2017). https://doi.org/10.1134/S0965542517090032
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DOI: https://doi.org/10.1134/S0965542517090032