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Study of the Anisotropy Effect in Piecewise Homogeneous Media by Boundary and Near-Boundary Element Methods

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Advances in Intelligent Systems and Computing V (CSIT 2020)

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Abstract

In this paper presents mathematical models for 2D and 3D problems of potential theory with consideration of anisotropy of the piecewise homogeneous medium. To find solutions of the respective problems of potential theory, indirect methods of boundary and near-boundary elements have been used. The orthotropy effect in homogeneous and piecewise-homogeneous half-spaces has been investigated. The effect of orthotropy in a medium without inclusions and with one inclusion is investigated. A software implementation of the proposed approach has been carried out.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv, Ukraine

    Liubov Zhuravchak

  2. Carpathian Branch of S.I. Subbotin Institute of Geophysics, National Academy of Sciences, Lviv, Ukraine

    Nataliya Zabrodska

Authors
  1. Liubov Zhuravchak
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  2. Nataliya Zabrodska
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Correspondence to Liubov Zhuravchak .

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Editors and Affiliations

  1. Department of Artificial Intelligence, Lviv Polytechnic National University, Lviv, Ukraine

    Natalya Shakhovska

  2. Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Lviv, Ukraine

    Mykola O. Medykovskyy

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Zhuravchak, L., Zabrodska, N. (2021). Study of the Anisotropy Effect in Piecewise Homogeneous Media by Boundary and Near-Boundary Element Methods. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing V. CSIT 2020. Advances in Intelligent Systems and Computing, vol 1293. Springer, Cham. https://doi.org/10.1007/978-3-030-63270-0_37

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