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Differential Equations

, Volume 55, Issue 9, pp 1250–1257 | Cite as

Numerical Methods for a Nonstationary 3D Singular Integral Equation of Electrodynamics

  • A. B. SamokhinEmail author
  • A. S. SamokhinaEmail author
  • K. KobayashiEmail author
Numerical Methods
  • 9 Downloads

Abstract

We consider numerical methods for 3D singular integral equations with time delay, which describe a broad class of problems of interaction of a nonstationary electromagnetic field with a bounded material medium. An efficient solution method for linear dispersionless media is proposed.

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Notes

Funding

The research by A.B. Samokhin and A.S. Samokhina was supported by the Ministry of Education and Science of the Russian Federation, project no. 2.1361.2017/4.6.

References

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    Samokhin, A.B., Integral equations for nonstationary problems of electrodynamics in material media, Differ. Equations, 2002, vol. 38, no. 9, pp. 1371–1374.MathSciNetCrossRefGoogle Scholar
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    Samokhin, A.B., Integral’nye uravneniya i iterativnye metody v elektromagnitnom rasseyanii (Integral Equations and Iteration Methods in Electromagnetic Scattering), Moscow: Radio i Svyaz’, 1998.Google Scholar
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    Samokhin, A.B., Integral Equations and Iteration Methods in Electromagnetic Scattering, Utrecht: VSP, 2001.Google Scholar
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    Samokhin, A.B., Samokhina, A.S., and Shestopalov, Yu.V., Discretization methods for three-dimensional singular integral equations of electromagnetism, Differ. Equations, 2018, vol. 54, no. 9, pp. 1225–1235.MathSciNetCrossRefGoogle Scholar
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    Samokhin, A.B. and Samokhina, A.S., Effective algorithms for modeling three-dimensional problems of wave scattering by transparent structures, Elektromagn. Volny Elektron. Sist., 2012, vol. 17, no. 9, pp. 28–36.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Moscow Technological University (MIREA)MoscowRussia
  2. 2.Trapeznikov Institute of Control Sciences of the Russian Academy of SciencesMoscowRussia
  3. 3.Chuo UniversityTokyoJapan

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