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20222026
most citedNumerical analysis of several FFT-based schemes for computational homogenization

16 citations · 21 across the 23 of their papers we have counts for

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Showing 2024Show all

10 papers · 1 filter

math.NA2024

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…

math.NA2024★ 2 cited

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024★ 1 cited

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…

math.NA2024

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…