719 citations · 2.3k across the 72 of their papers we have counts for
8 papers · 1 filter
Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +2
In this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10]. Our proposed m…
Generalized Multiscale Inversion for Heterogeneous Problems
Eric T. Chung, Yalchin Efendiev, Bangti Jin +2
In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous in…
Fast Online Generalized Multiscale Finite Element Method using Constraint Energy Minimization
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, an…
On overlapping domain decomposition methods for high-contrast multiscale problems
Juan Galvis, Eric Chung, Yalchin Efendiev +1
We review some important ideas in the design and analysis of robust overlapping domain decomposition algorithms for high-contrast multiscale problems and propose a domain decomposi…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation
Eric Chung, Yalchin Efendiev, Wing Tat Leung
This paper presents a novel mass-conservative mixed multiscale method for solving flow equations in heterogeneous porous media. The media properties (the permeability) contain mult…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
The main goal of this paper is to design multiscale basis functions within GMsFEM framework such that the convergence of method is independent of the contrast and linearly decrease…
Coupling of multiscale and multi-continuum approaches
Eric T. Chung, Yalchin Efendiev, Tat Leung +1
Simulating complex processes in fractured media requires some type of model reduction. Well-known approaches include multi-continuum techniques, which have been commonly used in ap…
Bayesian Multiscale Finite Element Methods. Modeling missing subgrid information probabilistically
Y. Efendiev, W. T. Leung, S. W. Cheung +3
In this paper, we develop a Bayesian multiscale approach based on a multiscale finite element method. Because of scale disparity in many multiscale applications, computational mode…