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.

About the authors

S. G. Golovina

Department of Computational Mathematics and Cybernetics

Author for correspondence.
Email: sgolovina-msu@mail.ru
Russian Federation, Moscow

E. V. Zakharov

Department of Computational Mathematics and Cybernetics

Email: sgolovina-msu@mail.ru
Russian Federation, Moscow

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