Results 21 to 30 of about 28,001 (222)
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
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Multiscale Modeling of SiCf/SiC Nuclear Fuel Cladding Based on FE-Simulation of Braiding Process
Frontiers in Materials, 2021 A generalized multiscale (micro-macro) finite element (FE) model for SiC-fiber reinforced SiC-matrix ceramic (SiCf/SiC) nuclear fuel claddings is established.
Yajie Feng +18 more
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Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
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Computation, 2020 In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional ...
Valentin Alekseev +4 more
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DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions
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
Valentin Alekseev +3 more
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Residual-driven online generalized multiscale finite element methods [PDF]
Journal of Computational Physics, 2015 The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which are constructed using the offline space and the current residual. Online multiscale basis functions are constructed adaptively in some selected regions based on our error ...
Chung, Eric T. +2 more
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A convergence analysis of Generalized Multiscale Finite Element Methods [PDF]
Journal of Computational Physics, 2019 In this paper, we consider an approximation method, and a novel general analysis, for second-order elliptic differential equations with heterogeneous multiscale coefficients. We obtain convergence of the Generalized Multi-scale Finite Element Method (GMsFEM) method that uses local eigenvectors in its construction.
Eduardo Abreu, Ciro Díaz, Juan Galvis
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Buildings, 2023 The nonlinear effects exhibited by structures under the action of wind loads have gradually stepped into the vision of wind-resistant researchers. By summarizing the prominent wind-induced nonlinear problems of four types of wind-sensitive structures ...
Shuang Zhao +3 more
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Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
Mathematics, 2020 In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang +3 more
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Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow
Multiscale Modeling & Simulation, 2022 In this paper, we study the generalized multiscale finite element method (GMsFEM) for single phase compressible flow in highly heterogeneous porous media. We follow the major steps of the GMsFEM to construct permeability dependent offline basis for fast coarse-grid simulation.
Shubin Fu, Eric Chung, Lina Zhao
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