Results 21 to 30 of about 190 (85)
Mathematics, 2023 In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
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Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
Mathematics, 2020 In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang +3 more
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Contrast-Independent Partially Explicit Time Discretizations for Quasi Gas Dynamics
Mathematics, 2022 In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media.
Boris Chetverushkin +2 more
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Fluids, 2021 In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin +4 more
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Adaptive Mixed GMsFEM for Flows in Heterogeneous Media [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2016 23 pages, 12 ...
Chan, Ho Yuen +2 more
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Online Adaptive Basis Enrichment for Mixed CEM-GMsFEM [PDF]
Multiscale Modeling & Simulation, 2019 In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element method in mixed formulation is proposed. The online approach is based on the technique of oversampling. One makes use of the information of residual and the data in the partial differential equation such as the source ...
Eric T. Chung 0001, Sai-Mang Pun
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Computation, 2020 In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional ...
Valentin Alekseev +4 more
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Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
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Goal-oriented adaptivity for GMsFEM
Journal of Computational and Applied Mathematics, 2016 16 pages, 4 ...
Eric T. Chung 0001 +2 more
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An exponential integration generalized multiscale finite element method for parabolic problems [PDF]
, 2023 We consider linear and semilinear parabolic problems posed in high-contrast multiscale media in two dimensions. The presence of high-contrast multiscale media adversely affects the accuracy, stability, and overall efficiency of numerical approximations
Abreu, E. +5 more
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