activity
20132026
most citedConstraint Energy Minimizing Generalized Multiscale Finite Element Method

202 citations · 748 across the 55 of their papers we have counts for

collaborators
Showing 2018Show all

7 papers · 1 filter

math.NA2018★ 3 cited

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…

math.NA2018★ 11 cited

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…

math.NA2018

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…

math.NA2018

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…

math.NA2018

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…

math.NA2018

Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models

Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +1

In this work, we present an upscaled model for mixed dimensional coupled flow problem in fractured porous media. We consider both embedded and discrete fracture models (EFM and DFM…

math.NA2018

Multiscale Methods for Model Order Reduction of Non Linear Multiphase Flow Problems

Gurpreet Singh, Wingtat Leung, Mary F. Wheeler

Numerical simulations for flow and transport in subsurface porous media often prove computationally prohibitive due to property data availability at multiple spatial scales that ca…