Results 31 to 40 of about 190 (85)
Computation, 2015 In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation.
Eric T. Chung +3 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 0001, Wing Tat Leung
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Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems
, 2022 In this paper, we consider the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with discontinuous Galerkin (DG) coupling for the linear elasticity equations in highly heterogeneous and high contrast media.
Fu, Shubin, Chung, Eric, Wang, Zhongqian
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, 2022 In this work, we combine the generalized multiscale finite element method (GMsFEM) with a reduced model based on the discrete fracture model (DFM) to resolve the difficulties of simulating flow in fractured porous media while efficiently and accurately ...
Alotaibi, Manal +2 more
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A Hybrid Model Reduction Method for Dual-Continuum Model with Random Inputs
ComputationIn this paper, a hybrid model reduction method for solving flows in fractured media is proposed. The approach integrates the Generalized Multiscale Finite Element Method (GMsFEM) with a novel variable-separation (VS) technique.
Lingling Ma
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GMsFEM for Nonlinear Problems & Space-Time GMsFEM [PDF]
, 2017 Many engineering and scientific applications deal with models that have multiple spatial scales, and these scales can be non-separable. Many of these processes can exhibit nonlinearities and have a tight coupling with the temporal scales.
Ye, Shuai
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On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques [PDF]
Multiscale Modeling & Simulation, 2019 This work is concerned with the rigorous analysis on the Generalized Multiscale Finite Element Methods (GMsFEMs) for elliptic problems with high-contrast heterogeneous coefficients. GMsFEMs are popular numerical methods for solving flow problems with heterogeneous high-contrast coefficients, and it has demonstrated extremely promising numerical results
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Re-iterated multiscale model reduction using the GMsFEM
, 2016 Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the solutions of local problems can be expensive to compute due to scale disparity. In this setting, one can basically apply a
Chung, Eric T. +3 more
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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics
, 2015 In this chapter, we discuss multiscale model reduction using Generalized Multiscale Finite Element Methods (GMsFEM) in a number of geomathematical applications. GMsFEM has been recently introduced (Efendiev et al.
Presho, Michael, Efendiev, Yalchin R.
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A generalized multiscale finite element method for the Brinkman equation
, 2015 © 2014 Elsevier B.V. All rights reserved. In this paper we consider the numerical upscaling of the Brinkman equation in the presence of high-contrast permeability fields. We develop and analyze a robust and efficient Generalized Multiscale Finite Element
Guanglian Li +5 more
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