Results 41 to 50 of about 258 (83)
Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media [PDF]
In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the computational complexity associated ...
Calo, Victor M. +15 more
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Mixed Generalized Multiscale Finite Element Methods and Applications [PDF]
In this paper, we present a mixed generalized multiscale finite element method (GMsFEM) for solving flow in heterogeneous media. Our approach constructs multiscale basis functions following a GMsFEM framework and couples these basis functions using a ...
Lee, Chak Shing +2 more
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Multiscale Method for Elastic Wave Propagation in the Heterogeneous, Anisotropic Media [PDF]
Seismic wave simulation in realistic Earth media with full wavefield methods is a fundamental task in geophysical studies. Conventional approaches such as the finite-difference method and the finite-element method solve the wave equation in geological ...
Gao, Kai
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Meshfree GMsFEM-based exponential integration for multiscale 3D advection-diffusion problems
In this work, we extend the meshfree generalized multiscale exponential integration framework introduced in Nikiforov et al. (2025) to the simulation of three-dimensional advection--diffusion problems in heterogeneous and high-contrast media. The proposed approach combines meshfree generalized multiscale finite element methods (GMsFEM) for spatial ...
Djulustan Nikiforov +5 more
openaire +2 more sources
Generalized multiscale finite elements for simulation of elastic-wave propagation in fractured media
We applied the generalized multiscale finite-element method (GMsFEM) to simulate seismic wave propagation in fractured media. Fractures are represented explicitly on a fine-scale triangular mesh, and they are incorporated using the linear-slip model ...
Richard L. Gibson +3 more
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An iterative constraint energy minimizing generalized multiscale finite element method for contact problem [PDF]
This work presents an Iterative Constraint Energy Minimizing Generalized Multiscale Finite Element Method (ICEM-GMsFEM) for solving the contact problem with high contrast coefficients.
Ye, Changqing +2 more
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Generalized multiscale finite element methods: Oversampling strategies
In this paper, we propose oversampling strategies in the generalized multiscale finite element method (GMsFEM) framework. The GMsFEM, which has been recently introduced in Efendiev et al. (2013b) [Generalized Multiscale Finite Element Methods, J. Comput.
Presho, Michael +4 more
core +1 more source
Multilevel Uncertainty Quantification Techniques Using Multiscale Methods [PDF]
In this dissertation, we focus on the uncertainty quantification problems in sub-surface flow models which can be computationally demanding because of the large number of unknowns in forward simulations.
Tan, Xiaosi
core
In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous media. The method employs a data-driven predictor to construct multiscale basis functions in two stages: offline and online.
Wing Tat Leung, Qiuqi Li, Songwei Liu
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In this paper, we couple Discrete Fracture Network (DFM) and multi-continuum model with Generalized Multiscale Finite Element Method (GMsFEM) for simulating flow in fractured and vuggy reservoir.
Min Wang +4 more
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