205 citations · 1.6k across the 115 of their papers we have counts for
10 papers · 1 filter
Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
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…
Residual driven online mortar mixed finite element methods and applications
Yanfang Yang, Eric T. Chung, Shubin Fu
In this paper, we develop an online basis enrichment method with the mortar mixed finite element method, using the oversampling technique, to solve for flow problems in highly hete…
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…