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A System Approach to Mathematical and Computer Modeling of Geomigration Processes Using Freefem++ and Parallelization of Computations

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Abstract

A method is described for constructing mathematical models of interrelated processes in porous media that are complex multicomponent systems. The performance capabilities of the package FreeFem++ are shown as applied to solving corresponding free boundary-value problems for systems of quasilinear parabolic equations by the finite element method using the parallelization of computations.

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Authors and Affiliations

  1. National University of Water and Environmental Engineering (NUWEE), Rivne, Ukraine

    V. A. Herus, N. V. Ivanchuk & P. M. Martyniuk

Authors
  1. V. A. Herus
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  2. N. V. Ivanchuk
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  3. P. M. Martyniuk
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Correspondence to V. A. Herus.

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2018, pp. 123–133.

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Herus, V.A., Ivanchuk, N.V. & Martyniuk, P.M. A System Approach to Mathematical and Computer Modeling of Geomigration Processes Using Freefem++ and Parallelization of Computations. Cybern Syst Anal 54, 284–294 (2018). https://doi.org/10.1007/s10559-018-0030-3

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