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An estimate of the gradient characteristics and source intensity of an acoustic field

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Abstract

An algorithm is proposed for estimating characteristic wave processes in underwater acoustics. We obtain minimax mean-square estimates for functionals which determine the solutions and right sides of the Helmholtz equation. Relations are presented which are satisfied by the minimax estimates; results of numerical computations are also given.

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Literature cited

  1. L. M. Brekhovskikh, Waves in Layered Media [in Russian], Moscow (1974).

  2. V. I. Grachev and V. Ya. Danilov, “Optimal control of wave fields in a wave-guide,” Preprint Akad. Nauk SSSR, Inst. Obshchei Fiziki, No. 163, Moscow (1984).

  3. L. N. Zakharov, S. A. Il'in, V. I. Il'ichev, and V. A. Shchurov, “Vector-phase methods in acoustics,” in: Problems in Ocean Acoustics [in Russian], Moscow (1984), pp. 192–204.

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Authors and Affiliations

  1. Physics-Mathematics Institute and Kiev State University, Kiev

    A. G. Nakonechniy, V. Ya. Danilov & L. T. Adzhubei

Authors
  1. A. G. Nakonechniy
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  2. V. Ya. Danilov
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  3. L. T. Adzhubei
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Additional information

Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 128–134, 1989.

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Nakonechniy, A.G., Danilov, V.Y. & Adzhubei, L.T. An estimate of the gradient characteristics and source intensity of an acoustic field. J Math Sci 67, 3137–3142 (1993). https://doi.org/10.1007/BF01098155

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  • DOI: https://doi.org/10.1007/BF01098155

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