719 citations · 2.3k across the 72 of their papers we have counts for
10 papers · 1 filter
Prediction of Discretization of GMsFEM using Deep Learning
Min Wang, Siu Wun Cheung, Eric T. Chung +3
In this paper, we propose a deep-learning-based approach to a class of multiscale problems. THe Generalized Multiscale Finite Element Method (GMsFEM) has been proven successful as…
Stochastic homogenization for a diffusion-reaction model
Hakima Bessaih, Yalchin Efendiev, Razvan Florian Maris
In this paper, we study stochastic homogenization of a coupled diffusion-reaction system. The diffusion-reaction system is coupled to stochastic differential equations, which gover…
A three-level multi-continua upscaling method for flow problems in fractured porous media
Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1
Traditional two level upscaling techniques suffer from a high offline cost when the coarse grid size is much larger than the fine grid size. Thus, multilevel methods are desirable…
Nonlinear nonlocal multicontinua upscaling framework and its applications
Wing T. Leung, Eric T. Chung, Yalchin Efendiev +1
In this paper, we discuss multiscale methods for nonlinear problems. The main idea of these approaches is to use local constraints and solve problems in oversampled regions for con…
Multiscale stabilization for convection diffusion equations with heterogeneous velocity and diffusion coefficients
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
We present a new stabilization technique for multiscale convection diffusion problems. Stabilization for these problems has been a challenging task, especially for the case with hi…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +2
The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is…
Deep Global Model Reduction Learning in Porous Media Flow Simulation
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +3
In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear…
Deep Multiscale Model Learning
Yating Wang, Siu Wun Cheung, Eric T. Chung +2
The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical model…
Constrained energy minimization based upscaling for coupled flow and mechanics
Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1
In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an up…
Space-time multiscale model reduction for transport equations
Eric T. Chung, Yalchin Efendiev, Yanbo Li
In this paper, we propose a space-time GMsFEM for transport equations. Multiscale transport equations occur in many geoscientific applications, which include subsurface transport,…