16 citations · 21 across the 23 of their papers we have counts for
23 papers
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…
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…
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…
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 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…
A robust solver for large-scale heat transfer topology optimization
Yingjie Zhou, Changqing Ye, Yucheng Liu +2
This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topo…
Learning a generalized multiscale prolongation operator
Yucheng Liu, Shubin Fu, Yingjie Zhou +2
In this research, we address Darcy flow problems with random permeability using iterative solvers, enhanced by a two-grid preconditioner based on a generalized multiscale prolongat…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equations with Inhomogeneous Boundary Conditions
Po Chai Wong, Eric T. Chung, Changqing Ye +1
In this paper, we develop the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for convection-diffusion equations with inhomogeneous Dirichlet…
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…
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…
An iterative constraint energy minimizing generalized multiscale finite element method for contact problem
Zishang Li, Changqing Ye, Eric T. Chung
This work presents an Iterative Constraint Energy Minimizing Generalized Multiscale Finite Element Method (ICEM-GMsFEM) for solving the contact problem with high contrast coefficie…
A fast cosine transformation accelerated method for predicting effective thermal conductivity
Changqing Ye, Shubin Fu, Eric T. Chung
Predicting effective thermal conductivity by solving a Partial Differential Equation (PDE) defined on a high-resolution Representative Volume Element (RVE) is a computationally int…
A robust two-level overlapping preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this article, a two-level overlapping domain decomposition preconditioner is developed for solving linear algebraic systems obtained from simulating Darcy flow in high-contrast…
An efficient multiscale multigrid preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this paper, we develop a multigrid preconditioner to solve Darcy flow in highly heterogeneous porous media. The key component of the preconditioner is to construct a sequence of…
Numerical analysis of a FE/SAV scheme for a Caginalp phase field model with mechanical effects in stereolithography
Xingguang Jin, Kei Fong Lam, Changqing Ye
In this work we propose a phase field model based on a Caginalp system with mechanical effects to study the underlying physical and chemical processes behind stereolithography, whi…
A multiscale method for inhomogeneous elastic problems with high contrast coefficients
Zhongqian Wang, Changqing Ye, Eric T. Chung
In this paper, we develop the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with mixed boundary conditions (Dirichlet and Neumann) for the…
Homogenization with quasistatic Tresca's friction law: qualitative and quantitative results
Changqing Ye, Eric T. Chung, Junzhi Cui
Modeling of frictional contacts is crucial for investigating mechanical performances of composite materials under varying service environments. The paper considers a linear elastic…
Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients
Changqing Ye, Eric T. Chung
In this article we develop the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for elliptic partial differential equations with inhomogeneous…
Numerical analysis of several FFT-based schemes for computational homogenization
Changqing Ye, Eric T. Chung
We study the convergences of several FFT-based schemes that are widely applied in computational homogenization for deriving effective coefficients, and the term "convergence" here…