719 citations · 2.3k across the 72 of their papers we have counts for
4 papers · 1 filter
Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach
Wing T. Leung, Eric T. Chung, Yalchin Efendiev +2
In this paper, we develop a space-time upscaling framework that can be used for many challenging porous media applications without scale separation and high contrast. Our main focu…
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
Maria Vasilyeva, Wing T. Leung, Eric T. Chung +2
In this work, we present a novel nonlocal nonlinear coarse grid approximation using a machine learning algorithm. We consider unsaturated and two-phase flow problems in heterogeneo…
Generalized multiscale finite element method for the steady state linear Boltzmann equation
Eric Chung, Yalchin Efendiev, Yanbo Li +1
The Boltzmann equation, as a model equation in statistical mechanics, is used to describe the statistical behavior of a large number of particles driven by the same physics laws. D…
Reduced-order Deep Learning for Flow Dynamics
Min Wang, Siu Wun Cheung, Wing Tat Leung +3
In this paper, we investigate neural networks applied to multiscale simulations and discuss a design of a novel deep neural network model reduction approach for multiscale problems…