GMsFEM on unstructured grids for single-phase flow in fractured porous media
Journal of Physics: Conference Series, 2019 Abstract In this work, we consider an unstructured Generalized Multiscale Finite Element Method (GMsFEM) for solution of the filtration problem in a fractured media. The basic idea is that coarse grid blocks are formed as sets of fine grid triangular cells and, thus, can be of an almost arbitrary polygonal shape.
Djulustan Nikiforov +3 more
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An innovative application of deep learning in multiscale modeling of subsurface fluid flow: Reconstructing the basis functions of the mixed GMsFEM [PDF]
Journal of Petroleum Science and Engineering, 2022 Abouzar Choubineh +3 more
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A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media [PDF]
In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous media. The method employs a data-driven predictor to construct multiscale basis functions in two stages: offline and online.
Wing Tat Leung, Qing Li, S.C. Liu
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Convergence analysis for GMsFEM approximation of elliptic eigenvalue problems
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingling Ma, Lijian Jiang
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Multiscale model reduction for pore-scale simulation of Li-ion batteries using GMsFEM
Journal of Computational and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Vasilyeva +2 more
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Mixed GMsFEM for the simulation of waves in highly heterogeneous media
Journal of Computational and Applied Mathematics, 2016 Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of simulating waves at a much lower cost.
Eric T. Chung, Wing Tat Leung
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Mixed GMsFEM for second order elliptic problem in perforated domains
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eric T. Chung +2 more
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Mathematics, 2021 In this paper, we present a multiscale model reduction technique for unsaturated filtration problem in fractured porous media using an Online Generalized Multiscale finite element method. The flow problem in unsaturated soils is described by the Richards
Denis Spiridonov +3 more
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Contrast-Independent, Partially-Explicit Time Discretizations for Nonlinear Multiscale Problems
Mathematics, 2021 This work continues a line of work on developing partially explicit methods for multiscale problems. In our previous works, we considered linear multiscale problems where the spatial heterogeneities are at the subgrid level and are not resolved. In these
Eric T. Chung +3 more
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Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost
Mathematics, 2021 In this work, we design a multiscale simulation method based on the Generalized Multiscale Finite Element Method (GMsFEM) for numerical modeling of fluid seepage under permafrost condition in heterogeneous soils.
Sergei Stepanov +2 more
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