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A numerical way of solving the inverse problem for the wave equation in a medium with local inhomogeneity

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Abstract

The inverse problem of determining the boundary of local inhomogeneity for measuring a field in a bounded receivers location domain in a three-dimensional medium is considered for the wave equation. The problem is reduced to a system of integral equations. An iteration approach to solving the inverse problem is proposed, and the results from numerical experiments are presented.

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Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    S. G. Golovina & E. V. Zakharov

Authors
  1. S. G. Golovina
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  2. E. V. Zakharov
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Corresponding author

Correspondence to S. G. Golovina.

Additional information

Original Russian Text © S.G. Golovina, E.V. Zakharov, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2017, No. 4, pp. 22–27.

This work was supported by the Russian Foundation for Basic Research, project no. 17–01–00525.

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Golovina, S.G., Zakharov, E.V. A numerical way of solving the inverse problem for the wave equation in a medium with local inhomogeneity. MoscowUniv.Comput.Math.Cybern. 41, 173–178 (2017). https://doi.org/10.3103/S0278641917040033

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  • DOI: https://doi.org/10.3103/S0278641917040033

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