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Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 卷号: 76, 期号: 11-12, 页码: 2549-2565
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Yang, Zhiqiang
收藏  |  浏览/下载：209/0  |  提交时间：2019/01/11
Heat conduction problems  Multiscale asymptotic analysis  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations 期刊论文
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2018, 卷号: 125, 页码: 1196-1211
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Yang, Zihao;  Guan, Tianyu
收藏  |  浏览/下载：172/0  |  提交时间：2018/09/08
Three-scale homogenization algorithms  Conduction-radiation problems  Micro-meso-macro formulations  Porous materials  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
作者:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载：157/0  |  提交时间：2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载：156/0  |  提交时间：2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 204-233
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Li, Xiao
收藏  |  浏览/下载：162/0  |  提交时间：2019/03/05
Multiscale asymptotic analysis  radiation boundary condition  quasi-periodic structures  nonlinear heat transfer problems  
High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales 期刊论文
ADVANCES IN ENGINEERING SOFTWARE, 2018, 卷号: 121, 页码: 1-12
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Wang, Ziqiang
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Heat conduction problems  Axisymmetric composite structures  Multiple spatial scales  HOTS numerical algorithm  
A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 75, 期号: 3, 页码: 1415-1444
作者:  Zhang, Shuo;  Xi, Yingxia;  Ji, Xia
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Eigenvalue problem  Multi-level mixed element method  Biharmonic equation  
A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System 期刊论文
IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2018, 卷号: 17, 期号: 3, 页码: 513-519
作者:  Xu, Jingjie;  Lu, Benzhuo;  Zhang, Linbo
收藏  |  浏览/下载：168/0  |  提交时间：2018/07/30
3D nanopore  analytical test  backward Euler  FEM  ICR  numerical simulation  PNP equations  varying voltage  
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
作者:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载：165/0  |  提交时间：2018/07/30
Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
作者:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate