Results 1 to 10 of about 102 (56)
Adaptive Multiscale Model Reduction for Nonlinear Parabolic Equations Using GMsFEM [PDF]
Computational Science – ICCS 202020th International Conference, 2020 14 pages.
Wang Y, Chung E, Fu S.
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Prediction of Discretization of GMsFEM Using Deep Learning [PDF]
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-contrast porous media.
Min Wang +5 more
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DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions [PDF]
Computation, 2021 Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique based on the Discontinuous Galerkin Generalized Multiscale Finite Element Method (DG-GMsFEM) for ...
V. N. Alekseev +3 more
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Dynamic data-driven Bayesian GMsFEM [PDF]
Journal of Computational and Applied Mathematics, 2019 In this paper, we propose a Bayesian approach for multiscale problems with the availability of dynamic observational data. Our method selects important degrees of freedom probabilistically in a Generalized multiscale finite element method framework. Due to scale disparity in many multiscale applications, computational models can not resolve all scales.
Siu Wun Cheung, Nilabja Guha
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Goal-oriented adaptivity for GMsFEM [PDF]
Journal of Computational and Applied Mathematics, 2015 16 pages, 4 ...
Eric T. Chung +2 more
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Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media [PDF]
Computers & Mathematics with Applications, 2023 This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows in highly heterogeneous media. The construction of CEM-GMsFEM hinges on two crucial steps: First, the auxiliary space is constructed by solving local spectral problems, where ...
Leonardo A. Poveda +3 more
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Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM [PDF]
Journal of Computational Physics, 2020 In this paper, we consider a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem. The proposed method provides a flexible framework to construct crucial multiscale basis functions for approximating the pressure and ...
Eric T. Chung, Sai-Mang Pun
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Generalized multiscale finite element methods (GMsFEM) [PDF]
Journal of Computational Physics, 2013 In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space. As in multiscale finite element methods (MsFEMs), the main idea of the proposed approach is to construct a small dimensional local solution ...
Yalchin Efendiev +2 more
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Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains [PDF]
Journal of Computational and Applied Mathematics, 2020 18 pages, 2 ...
Eric T. Chung, Jiuhua Hu, Sai-Mang Pun
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Numerical Study of Soil-Thawing Effect of Composite Piles Using GMsFEM [PDF]
Journal of Composites Science, 2021 During construction works, it is advisable to prevent strong thawing and an increase in the moisture content of the foundations of engineering structures in the summer. Since the density of water and ice differ, due to the difference bulging of the foundation sections can occur when it freezes back in winter.
Petr V. Sivtsev +2 more
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