11 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 a class of high-contrast heterogeneous sign-changing problems
Eric T. Chung, Patrick Ciarlet, Xingguang Jin +1
The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positiv…
Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media
Xiang Zhong, Eric T. Chung, Xingguang Jin
Modeling time-harmonic Maxwell problems in heterogeneous media presents significant mathematical and computational challenges. Due to the inherent non-elliptic structure and non-co…
Iterative Contact-resolving Hybrid Methods for Multiscale Contact Mechanics
Eric T. Chung, Hyea Hyun Kim, Xiang Zhong
Modeling contact mechanics with high contrast coefficients presents significant mathematical and computational challenges, especially in achieving strongly symmetric stress approxi…
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…
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…