A system approach to mathematical and computer modeling of geomigration processes by using FreeFem++ and parallelization of calculations / Herus, / Ivanchuk, / Martyniuk. (2018)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2018, 54 (2))

Herus V.A., Ivanchuk N.V., Martyniuk P.M.
A system approach to mathematical and computer modeling of geomigration processes by using FreeFem++ and parallelization of calculations

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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: chemical and mechanical suffosion, filtration consolidation, finite element method, free movable boundary, FreeFem++, heat-and-mass transfer, mathematical and computer modeling, multicomponent porous medium, parallel computing, system of quasilinear parabolic equations, Boundary value problems, Filtration, Mass transfer, Parallel processing systems, Partial differential equations, Porous materials, Computer modeling, FreeFem, Heat and mass transfer, Movable boundary, Porous medium, Quasi-linear parabolic equations, Finite element method


Cite:
Herus V.A., Ivanchuk N.V., Martyniuk P.M. (2018). A system approach to mathematical and computer modeling of geomigration processes by using FreeFem++ and parallelization of calculations. Cybernetics and Systems Analysis, 54 (2), 123-133. doi: https://doi.org/10.1007/s10559-018-0030-3 http://jnas.nbuv.gov.ua/article/UJRN-0000846645 [In Russian].


 

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