6 citations · 11 across the 6 of their papers we have counts for
6 papers
Multicontinuum splitting scheme for multiscale flow problems
Yalchin Efendiev, Wing Tat Leung, Buzheng Shan +1
In this paper, we propose multicontinuum splitting schemes for multiscale problems, focusing on a parabolic equation with a high-contrast coefficient. Using the framework of multic…
Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions
Jianfeng Lu, Min Wang
In this paper, we propose and study neural network based methods for solutions of high-dimensional quadratic porous medium equation (QPME). Three variational formulations of this n…
Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains
Denis Spiridonov, Maria Vasilyeva, Min Wang +1
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional do…
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…
Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs
Min Wang, Siu Wun Cheung, Eric T. Chung +2
Simulating flow in a highly heterogeneous reservoir with multiscale characteristics could be considerably demanding. To tackle this problem, we propose a numerical scheme coupling…
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…