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20132026
most citedAdaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

205 citations · 1.6k across the 115 of their papers we have counts for

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126 papers

math.GR2026

Zeros and Roots of Unity for Characters of Solvable Groups

Fang Bian, Yong Yang

We prove Miller's conjectured bound for solvable groups: if is a finite solvable group and $χ\in\Irr(G)$, then is zero or a root of unity for at least half of the elemen…

math.NA2026

An Implementation-Friendly SDG Scheme based on Cartesian Grids for Stokes Equations with Pressure Robustness and Superconvergence

Bohan Yang, Eric Chung

This paper develops a staggered discontinuous Galerkin (SDG) scheme based on Cartesian grids for Stokes equations that is simple to implement, intrinsically pressure-robust, and su…

math.NA2026

A Hybridized Staggered Discontinuous Galerkin--Mixed Finite Element Method for Strain Gradient Elasticity

Bohan Yang, Eric T. Chung

We propose a hybridized staggered discontinuous Galerkin--mixed finite element method for the strain gradient elasticity model, a fourth-order singularly perturbed problem governed…

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.NA2024★ 7 cited

CEM-GMsFEM for Poisson equations in heterogeneous perforated domains

Wei Xie, Yin Yang, Eric Chung +1

In this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of…

math.NA2023

Multicontinuum homogenization. General theory and applications

E. Chung, Y. Efendiev, J. Galvis +1

In this paper, we discuss a general framework for multicontinuum homogenization. Multicontinuum models are widely used in many applications and some derivations for these models ar…