6 papers
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…
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…
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…
Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media
Xingguang Jin, Changqing Ye, Eric T. Chung
In this paper, we provide the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to solve Helmholtz equations in heterogeneous medium. This no…