A system approach to mathematical and computer modeling of geomigration processes using \textsc{FreeFem++} and parallelization of computations

DOI10.1007/S10559-018-0030-3zbMath1393.93064OpenAlexW2795654057MaRDI QIDQ722057

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

Publication date: 20 July 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0030-3

zbMATH Keywords

finite element methodparallel computingheat-and-mass transfer\textsc{FreeFem++}chemical and mechanical suffosionfiltration consolidationfree movable boundarymathematical and computer modelingmulticomponent porous mediumsystem of quasilinear parabolic equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Uses Software

• Unnamed Item
• ParaFEM

Cites Work

• Unnamed Item
• Hybrid algorithms to solve linear systems for finite-element modeling of filtration processes
• Generalized mathematical model of the dynamics of consolidation processes with relaxation
• Mathematical modeling of some singularly perturbed processes of diffusion with relaxation
• Direct Methods for Sparse Matrices

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