Results 51 to 60 of about 190 (85)
CoRRIn 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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, 2017 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
core +1 more source
Multiscale Methods for Flow Problems in Heterogeneous Porous Media
, 2021 In this thesis, we investigate multiscale methods for flows problems in heterogeneous porous media. Accurately solving these kinds of flows demands fine resolution representation, and this requires many extra degree of freedoms, which is indeed ...
core
Multiscale model reduction for transport and flow problems in perforated domains
, 2018 Convection-dominated transport phenomenon is important for many applications. In these applications, the transport velocity is often a solution of heterogeneous flow problems, which results to a coupled flow and transport phenomena.
Wing Tat Leung +7 more
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Meshfree GMsFEM-based exponential integration for multiscale 3D advection-diffusion problems
CoRRIn 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
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Mixed Generalized Multiscale Finite Element Methods and Applications
, 2015 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 simulations for upscaled multi-continuum flows
, 2019 We consider in this paper a challenging problem of simulating fluid flows, in complex multiscale media possessing multi-continuum background. As an effort to handle this obstacle, model reduction is employed.
Hoang, Viet Ha +3 more
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, 2018 We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages.
Wing Tat Leung +7 more
core +1 more source
Partially Explicit Generalized Multiscale Method for Poroelasticity Problem
, 2023 We develop a partially explicit time discretization based on the framework of constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for the problem of linear poroelasticity with high contrast.
Pun, Sai-Mang +3 more
core
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positive and negative values in different subdomains.
Ciarlet, Patrick +3 more
core +3 more sources