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20222026
most citedConstraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients

1 citations · 2 across the 18 of their papers we have counts for

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math.NA2026

Matrix-Free FFT-HSS Preconditioning for Periodic Landau-Lifshitz-Gilbert Saddle-Point Systems

Hang Qi, Changqing Ye, Xiaofei Guan

In this paper, a matrix-free Hermitian/skew-Hermitian splitting (HSS) preconditioner is proposed for periodic Landau--Lifshitz--Gilbert (LLG) saddle-point systems. The main contrib…

math.NA2026

An Order-One Lower Bound on the Error of Scalable Generalized Multiscale Finite Element Space Constructions

Changqing Ye

Several coefficient-adapted methods provide optimal-order approximation for elliptic equations with rough coefficients. Prominent examples include localized orthogonal decompositio…

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

Efficient Multiscale Methods for Highly Heterogeneous Spatial Network Models

Yingjie Zhou, Xiang Zhong, Changqing Ye +1

Modeling complex spatial networks with multiscale heterogeneity poses significant mathematical and computational challenges. Lacking explicit PDE discretizations and facing excessi…

math.NA2025

Multiscale Methods for wave propagation in materials with sign-changing coefficients

Eric T. Chung, Patrick Ciarlet, Xingguang Jin +1

From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These…

math.NA2025

Multiscale modeling for contact problem with high-contrast heterogeneous coefficients with primary-dual formulation

Zishang Li, Changqing Ye, Eric T. Chung

In this paper, we propose a novel iterative multiscale framework for solving high-contrast contact problems of Signorini type. The method integrates the constrained energy minimizi…