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Application of the Barycentric Method to Electromagnetic Wave Diffraction on Arbitrarily Shaped Screens

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The barycentric method is applied to numerical solution of electromagnetic wave diffraction on screens of arbitrary shape. The main assumption involves the piecewise-linear specification of the screen boundary. A distinctive feature of the barycentric method is the order in which the global basis-function system is generated for the representation of the screen in barycentric coordinates. Existence and uniqueness are established for the solution of the integral electric-field equation on an arbitrarily shaped screen by the barycentric method and rate of convergence bounds are obtained. The main algorithmic procedures are refined by improving the evaluation of the singular integral. The performance of the barycentric method is compared with the Rao–Wilton–Glisson (RWG) on test cases.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia

    A. S. Il’inskiy

  2. Academy of Federal Security Services (FSO), Oryol, Russia

    I. S. Polyansky & D. E. Stepanov

Authors
  1. A. S. Il’inskiy
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  2. I. S. Polyansky
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  3. D. E. Stepanov
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Correspondence to A. S. Il’inskiy.

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Translated from Prikladnaya Matematika i Informatika, No. 65, 2021, pp. 15–30.

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Il’inskiy, A.S., Polyansky, I.S. & Stepanov, D.E. Application of the Barycentric Method to Electromagnetic Wave Diffraction on Arbitrarily Shaped Screens. Comput Math Model 32, 7–21 (2021). https://doi.org/10.1007/s10598-021-09513-2

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