5 papers
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…
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…
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…
Efficient numerical method for the Schrödinger equation with high-contrast potentials
Xingguang Jin, Liu Liu, Xiang Zhong +1
In this paper, we study the Schrödinger equation in the semiclassical regime and with multiscale potential function. We develop the so-called constraint energy minimization genera…