Results 21 to 30 of about 258 (83)
Online Adaptive Basis Enrichment for Mixed CEM-GMsFEM [PDF]
Multiscale Modeling & Simulation, 2019 In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element method in mixed formulation is proposed. The online approach is based on the technique of oversampling. One makes use of the information of residual and the data in the partial differential equation such as the source ...
Eric T. Chung 0001, Sai-Mang Pun
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Goal-oriented adaptivity for GMsFEM
Journal of Computational and Applied Mathematics, 2016 16 pages, 4 ...
Eric T. Chung 0001 +2 more
openaire +4 more sources
Computation, 2015 In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation.
Eric T. Chung +3 more
doaj +1 more source
GMsFEM for Nonlinear Problems & Space-Time GMsFEM [PDF]
, 2017 Many engineering and scientific applications deal with models that have multiple spatial scales, and these scales can be non-separable. Many of these processes can exhibit nonlinearities and have a tight coupling with the temporal scales.
Ye, Shuai
core +1 more source
An exponential integration generalized multiscale finite element method for parabolic problems [PDF]
, 2023 We consider linear and semilinear parabolic problems posed in high-contrast multiscale media in two dimensions. The presence of high-contrast multiscale media adversely affects the accuracy, stability, and overall efficiency of numerical approximations
Abreu, E. +5 more
core +1 more source
Mixed GMsFEM for the simulation of waves in highly heterogeneous media
Journal of Computational and Applied Mathematics, 2016 Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of simulating waves at a much lower cost.
Eric T. Chung 0001, Wing Tat Leung
openaire +4 more sources
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems [PDF]
, 2022 In this paper, we consider the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with discontinuous Galerkin (DG) coupling for the linear elasticity equations in highly heterogeneous and high contrast media.
Fu, Shubin, Chung, Eric, Wang, Zhongqian
core +1 more source
On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques [PDF]
Multiscale Modeling & Simulation, 2019 This work is concerned with the rigorous analysis on the Generalized Multiscale Finite Element Methods (GMsFEMs) for elliptic problems with high-contrast heterogeneous coefficients. GMsFEMs are popular numerical methods for solving flow problems with heterogeneous high-contrast coefficients, and it has demonstrated extremely promising numerical results
openaire +2 more sources