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

  • Liubov ZhuravchakEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1080)


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.


Non-stationary processes Mathematical modelling Indirect near-boundary element method Piecewise-homogeneous porous media 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Software Department of Institute of Computer Science and Information TechnologiesLviv Polytechnic National UniversityLvivUkraine

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