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Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures

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Abstract

We consider the differential and integral statements of problems of acoustic scattering by three-dimensional bounded transparent structures described by an integral equation. The results of the numerical solution of the integral equation describing the class of problems under consideration are presented. A theorem on existence and uniqueness of the solution is proved.

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Authors and Affiliations

  1. MIREA—Russian Technological University, Moscow, 119454, Russia

    A. B. Samokhin & I. A. Yurchenkov

  2. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    A. S. Samokhina

Authors
  1. A. B. Samokhin
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  2. A. S. Samokhina
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  3. I. A. Yurchenkov
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Corresponding authors

Correspondence to A. B. Samokhin, A. S. Samokhina or I. A. Yurchenkov.

Additional information

Translated by V. Potapchouck

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Samokhin, A.B., Samokhina, A.S. & Yurchenkov, I.A. Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures. Diff Equat 59, 1256–1261 (2023). https://doi.org/10.1134/S0012266123090100

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  • DOI: https://doi.org/10.1134/S0012266123090100

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