Results 11 to 20 of about 258 (83)
Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains [PDF]
Journal of Computational and Applied Mathematics, 2021 18 pages, 2 ...
Eric T. Chung 0001 +2 more
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CEM-GMsFEM for Poisson Equations in Heterogeneous Perforated Domains [PDF]
Multiscale Modeling & SimulationIn this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of this intricate problem is impeded by its multiscale characteristics, necessitating an exceptionally fine mesh to adequately capture all relevant details.
Wei Xie 0024 +3 more
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Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media
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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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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Prediction of discretization of online GMsFEM using deep learning for Richards equation [PDF]
Journal of Computational and Applied MathematicsWe develop a new coarse-scale approximation strategy for the nonlinear single-continuum Richards equation as an unsaturated flow over heterogeneous non-periodic media, using the online generalized multiscale finite element method (online GMsFEM) together with deep learning.
Denis Spiridonov +2 more
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Estudio e implementación del método multiescala generalizado (GMsFEM) [PDF]
Portal de la CienciaThe aim of this article is to study and apply three numerical methods for solving elliptic partial differential equations: the finite element method (FEM), the multiscale finite element method (MsFEM), and the generalized multiscale finite element method (GMsFEM), with special emphasis on the latter.
A. Forero-Laiton +2 more
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Adaptive Multiscale Model Reduction for Nonlinear Parabolic Equations Using GMsFEM [PDF]
Computational Science – ICCS 2020, 2020 14 pages.
Wang Y, Chung E, Fu S.
europepmc +5 more sources
Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media [PDF]
Journal of Computational and Applied Mathematics, 2021 Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome this computational challenge, various multiscale methods are developed.
Xia Wang +3 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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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
doaj +1 more source