activity
20112023
most citedConvergence Rate of Multiscale Finite Element Method for Various Boundary Problems

8 citations · 17 across the 12 of their papers we have counts for

collaborators

12 papers

math.NA2023

Statistical higher-order multi-scale method for nonlinear thermo-mechanical simulation of random composite materials with temperature-dependent properties

Hao Dong, Junzhi Cui

Stochastic multi-scale modeling and simulation for nonlinear thermo-mechanical problems of composite materials with complicated random microstructures remains a challenging issue.…

math.NA2023

Higher-order multi-scale deep Ritz method for multi-scale problems of authentic composite materials

Jiale Linghu, Hao Dong, Junzhi Cui +1

The direct deep learning simulation for multi-scale problems remains a challenging issue. In this work, a novel higher-order multi-scale deep Ritz method (HOMS-DRM) is developed fo…

cond-mat.mtrl-sci2022★ 3 cited

Quantification of the atomic surfaces and volumes of a metal cluster based on the molecular surface model

Yifan Yu, Junzhi Cui

The atomic volume and surface are important geometric quantities for calculating various macroscopic physical quantities from atomic models. This paper proposes a new analytical me…

math.AP2022★ 1 cited

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…

math.NA2019★ 8 cited

Convergence Rate of Multiscale Finite Element Method for Various Boundary Problems

Changqing Ye, Hao Dong, Junzhi Cui

In this paper, we examine the effectiveness of classic multiscale finite element method (MsFEM) (Hou and Wu, 1997; Hou et al., 1999) for mixed Dirichlet-Neumann, Robin and hemivari…

math.NA2019★ 4 cited

A First-order Two-scale Analysis for Contact Problems with Small Periodic Configurations

Changqing Ye, Junzhi Cui

This paper is devoted to studying a type of contact problems modeled by hemivariational inequalities with small periodic coefficients appearing in PDEs, and the PDEs we considered…

cond-mat.stat-mech2018

Heat capacity and thermal expansion of metal crystalline materials based on dynamic thermal vibration

Jieqiong Zhang, Junzhi Cui, Zihao Yang +2

A novel approach based on dynamic thermal vibration is proposed to calculate the heat capacity and thermal expansion coefficient (TEC) for metal crystalline materials from 0K to th…

math.NA2017

Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains

Hao Dong, Junzhi Cui, Yufeng Nie +1

This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. First…

physics.comp-ph2016

Shock responses of nanoporous aluminum by molecular dynamics simulations

Meizhen Xiang, Junzhi Cui, Yantao Yang +4

We present systematic investigations on the shock responses of nanoporous aluminum (np-Al) by nonequilibrium molecular dynamics simulations. The dislocation nucleation sites are fo…

cond-mat.mtrl-sci2014

Quantum-Atomic-Continuum-Coupled Model for Mechanical Behaviors in Micro-nano Simulations

Tiansi Han, Junzhi Cui

For the numerical simulations of physical and mechanical behaviors of materials at the micro-nano scale, a coupled model with the effect of local quantum is presented in this paper…

math-ph2011

Existence of Rosseland equation

QiaoFu Zhang, JunZhi Cui

The global boundness, existence and uniqueness are presented for the kind of Rosseland equation with a small parameter. This problem comes from conduction-radiation coupled heat tr…

math.AP2011★ 1 cited

Regularity of the correctors and local gradient estimate of the homogenization for the elliptic equation: linear periodic case

QiaoFu Zhang, JunZhi Cui

and estimates for the first-order and second-order correctors in the homogenization are presented based on the translation invariant and Li-Vogelius's gradient…