16 citations · 21 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
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…
Homogenization rates of beam lattices to micropolar continua
Eric T. Chung, Kuang Huang, Changqing Ye
As the size of a mechanical lattice with beam-modeled edges approaches zero, it undergoes homogenization into a continuum model, which exhibits unusual mechanical properties that d…
MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation
Shubin Fu, Qing Huo Liu, Qiwei Zhan +2
In this article, we present a new preconditioner, MatExPre, for the high-frequency Helmholtz equation by leveraging the properties of matrix exponentials. Our approach begins by re…
A locking free multiscale method for linear elasticity in stress-displacement formulation with high contrast coefficients
Eric T. Chung, Changqing Ye, Xiang Zhong
Achieving strongly symmetric stress approximations for linear elasticity problems in high-contrast media poses a significant computational challenge. Conventional methods often str…