Results 31 to 40 of about 27,923 (223)
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations [PDF]
Communications in Computational Physics, 2014 AbstractIn this paper we use the Generalized Multiscale Finite Element Method (GMsFEM) framework, introduced in [26], in order to solve nonlinear elliptic equations with high-contrast coefficients. The proposed solution method involves linearizing the equation so that coarse-grid quantities of previous solution iterates can be regarded as auxiliary ...
Efendiev, Yalchin R. +3 more
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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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Nonconforming generalized multiscale finite element methods
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chak Shing, Sheen, Dongwoo
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A generalized finite element method for linear thermoelasticity [PDF]
, 2016 We propose and analyze a generalized finite element method designed for linear quasistatic thermoelastic systems with spatial multiscale coefficients.
Målqvist, Axel, Persson, Anna
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Prediction of Discretization of GMsFEM Using Deep Learning
Mathematics, 2019 In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high ...
Min Wang +5 more
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A localized orthogonal decomposition method for semi-linear elliptic problems [PDF]
, 2013 In this paper we propose and analyze a new Multiscale Method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions.
Henning, Patrick +2 more
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Computational Multiscale Methods for Linear Poroelasticity with High Contrast [PDF]
, 2018 In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with coefficients of high contrast.
Altmann, Robert +5 more
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Generalized Multiscale Finite Element Methods with energy minimizing oversampling
International Journal for Numerical Methods in Engineering, 2018 SummaryIn this paper, we propose a general concept for constructing multiscale basis functions within Generalized Multiscale Finite Element Method, which uses oversampling and stable decomposition. The oversampling refers to using larger regions in constructing multiscale basis functions and stable decomposition allows estimating the local errors.
Eric Chung +2 more
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MathematicsIn this study, the extended finite element method (XFEM) was integrated into the generalized multiscale finite element method with global–local enrichment (GFEMgl) to simulate 2D heat conduction in highly heterogeneous materials (i.e., matrixes with ...
Guangzhong Liu +3 more
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A weak Galerkin generalized multiscale finite element method
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mu, Lin, Wang, Junping, Ye, Xiu
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