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Mathematical Modelling of Non-stationary Processes in the Piecewise-Homogeneous Domains by Near-Boundary Element Method

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Advances in Intelligent Systems and Computing IV (CSIT 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1080))

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Abstract

A numerical-analytical approach to finding the physical scalar values (temperature, potential, pressure) or vector values (components of an electromagnetic field) in the piecewise-homogeneous domain of arbitrary shape with mixed boundary conditions and ideal contact conditions at the interface of the media has been considered. Using the indirect near-boundary element technique and time sequence scheme of the initial conditions, the developed software, computational experiments have been carried out to estimate the errors of the discretization of the near-boundary domains and the approximation of the mathematical model. The influence of piezoelectricity coefficients on pressure distribution in composite reservoirs has been studied.

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Authors and Affiliations

  1. Software Department of Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Bandery street 12, Lviv, Ukraine

    Liubov Zhuravchak

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  1. Liubov Zhuravchak
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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. (2020). Mathematical Modelling of Non-stationary Processes in the Piecewise-Homogeneous Domains by Near-Boundary Element Method. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing IV. CSIT 2019. Advances in Intelligent Systems and Computing, vol 1080. Springer, Cham. https://doi.org/10.1007/978-3-030-33695-0_6

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