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20192026
most citedMulti-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem

14 citations · 25 across the 19 of their papers we have counts for

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25 papers · 1 filter

math.NA2026

An Adaptive and Physics-Preserving Multiscale Method for Two-Phase Flow Simulations in High-Contrast Heterogeneous Porous Media

Junhao Huang, Eric Chung, Wing Tat Leung

In this paper, we propose an adaptive physics-preserving multiscale method for incompressible and immiscible two-phase flow in high-contrast porous media. The method couples a phys…

math.NA2026

Multiscale modeling for problems with high contrast heterogeneous coefficients by the CEM-GMsFEM

Eric T. Chung, Yalchin Efendiev, Xingguang Jin +2

This review paper provides a comprehensive overview of the Constrained Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving elliptic PDEs charact…

math.NA2026

Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow

Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev +1

We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurat…

math.NA2024

Multicontinuum Homogenization for Coupled Flow and Transport Equations

Dmitry Ammosov, W. T. Leung, Buzheng Shan +1

In this paper, we present the derivation of a multicontinuum model for the coupled flow and transport equations by applying multicontinuum homogenization. We perform the multiconti…

math.NA20242 cited

Multicontinuum homogenization in perforated domains

Wei Xie, Yalchin Efendiev, Yunqing Huang +2

In this paper, we develop a general framework for multicontinuum homogenization in perforated domains. The simulations of problems in perforated domains are expensive and, in many…

math.NA2024

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…