132 citations · 159 across the 13 of their papers we have counts for
14 papers
A Two-Level Preconditioner Based on Dominant Components for Time-Dependent Multiscale High-Contrast Problem
Yating Wang, Yibao Li, Wing Tat Leung
In this work, we develop a two-level overlapping preconditioner for time-dependent problems in high-contrast multiscale media. We present a coarse-space construction based on multi…
An exponential integrator multicontinuum homogenization method for fractional diffusion problem with multiscale coefficients
Yifei Gao, Yating Wang, Wing Tat Leung +1
In this paper, we present a robust and fully discretized method for solving the time fractional diffusion equation with high-contrast multiscale coefficients. We establish the homo…
Parallel in time partially explicit splitting scheme for high contrast linear multiscale diffusion problems
Yating Wang, Zhengya Yang, Wing Tat Leung
Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To addre…
Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems
Yating Wang, Wing Tat Leung
In this work, we present an efficient approach to solve nonlinear high-contrast multiscale diffusion problems. We incorporate the explicit-implicit-null (EIN) method to separate th…
Learning-based Multi-continuum Model for Multiscale Flow Problems
Fan Wang, Yating Wang, Wing Tat Leung +1
Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the orig…
Multirate partially explicit scheme for multiscale flow problems
Wing Tat Leung, Yating Wang
For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected by the magnitude of the coefficient parameter. With a su…
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…
Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media
Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung +2
Our goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenome…
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…
Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)
Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +2
In this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently…
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…
A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
Eric T. Chung, Maria Vasilyeva, Yating Wang
In this paper, we present a new multiscale model reduction technique for the Stokes flows in heterogeneous perforated domains. The challenge in the numerical simulations of this pr…
Online Adaptive Local Multiscale Model Reduction for Heterogeneous Problems in Perforated Domains
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +2
In this paper, we develop and analyze an adaptive multiscale approach for heterogeneous problems in perforated domains. In many applications, these problems have a multiscale natur…