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Numerical Method for Solving a Diffraction Problem of Electromagnetic Wave on a System of Bodies and Screens

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Supercomputing (RuSCDays 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 965))

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Abstract

The three-dimensional vector problem of electromagnetic wave diffraction by systems of intersecting dielectric bodies and infinitely thin perfectly conducting screens of irregular shapes is considered. The original boundary value problem for Maxwell‘s equations is reduced to a system of integro-differential equations. Methods of surface and volume integral equations are used. The system of linear algebraic equations is obtained using the Galerkin method with compactly supported basis functions. The subhierarchical method is applied to solve the diffraction problem by scatterers of irregular shapes. Several results are presented. Also we used a parallel algorithm.

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Acknowledgments

This study is supported by the Ministry of Education and Science of the Russian Federation [project 1.894.2017/4.6] and by the Russian Foundation for Basic Research [project 18-31-00108]. The research is carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University.

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Authors and Affiliations

  1. Penza State University, Penza, Russia

    Mikhail Medvedik, Marina Moskaleva & Yury Smirnov

Authors
  1. Mikhail Medvedik
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  2. Marina Moskaleva
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  3. Yury Smirnov
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Corresponding author

Correspondence to Marina Moskaleva .

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Editors and Affiliations

  1. Research Computing Center (RCC), Moscow State University, Moscow, Russia

    Vladimir Voevodin

  2. RCC, Moscow State University, Moscow, Russia

    Sergey Sobolev

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Medvedik, M., Moskaleva, M., Smirnov, Y. (2019). Numerical Method for Solving a Diffraction Problem of Electromagnetic Wave on a System of Bodies and Screens. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2018. Communications in Computer and Information Science, vol 965. Springer, Cham. https://doi.org/10.1007/978-3-030-05807-4_10

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  • DOI: https://doi.org/10.1007/978-3-030-05807-4_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05806-7

  • Online ISBN: 978-3-030-05807-4

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