202 citations · 748 across the 55 of their papers we have counts for
6 papers · 1 filter
Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method
Siu Wun Cheung, Eric T. Chung, Wing Tat Leung
Numerical simulation of flow problems and wave propagation in heterogeneous media has important applications in many engineering areas. However, numerical solutions on the fine gri…
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…
Sequential Local Mesh Refinement Solver with Separate Temporal and Spatial Adaptivity for Non-linear Two-phase Flow Problems
Hanyu Li, Wing Tat Leung, Mary F. Wheeler
Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still l…
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…
Sequential Refinement Solver using Space-Time Domain Decomposition for Non-linear Multiphase Flow Problems
Hanyu Li, Mary F. Wheeler
Convergence failure and slow convergence rate are among the biggest challenges with solving the system of non-linear equations numerically. While using strictly small time steps si…