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Resonance scattering on a hole on the boundary surface with finite symmetry group

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Abstract

We consider optimal, in the number of operations, computation schemes for the solution of the problem of resonance scattering on a hole on a boundary surface with a discontinuously acting group. We show that the numerical solution of the diffraction problem on the hole can be represented as a discrete analog of the potential density of a simple layer on the boundary surface.

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References

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. V. Zakharov & S. I. Safronov

  2. All-Russia Research Institute of Automatics (VNIIA), Moscow, Russia

    E. V. Zakharov & S. I. Safronov

Authors
  1. E. V. Zakharov
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  2. S. I. Safronov
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Correspondence to E. V. Zakharov.

Additional information

Original Russian Text © E.V. Zakharov, S.I. Safronov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 9, pp. 1195–1206.

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Zakharov, E.V., Safronov, S.I. Resonance scattering on a hole on the boundary surface with finite symmetry group. Diff Equat 52, 1150–1162 (2016). https://doi.org/10.1134/S0012266116090068

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  • DOI: https://doi.org/10.1134/S0012266116090068

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