Abstract
This work is devoted to development of methods for solving inverse problems in acoustics. Propagation of an acoustic field in a body located in the free space is considered. In the inverse problem, an iterative method for reconstructing the parameters of inhomogeneity of a body from a known acoustic field is applied. The theorem on convergence of the method is proven. Numerical results for inhomogeneous bodies of complex form are presented.
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Original Russian Text © R.O. Evstigneev, M.Yu. Medvedik, Yu.G. Smirnov, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 3, pp. 490–497.
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Evstigneev, R.O., Medvedik, M.Y. & Smirnov, Y.G. Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Comput. Math. and Math. Phys. 56, 483–490 (2016). https://doi.org/10.1134/S0965542516030040
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DOI: https://doi.org/10.1134/S0965542516030040