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A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 卷号: 19, 期号: 4, 页码: 542-562
作者:  Zhai, Fangman;  Cao, Liqun
收藏  |  浏览/下载：57/0  |  提交时间：2023/02/07
Parabolic integro-differential equation  the multiscale asymptotic method  Laplace transformation  composite media  
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
作者:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
收藏  |  浏览/下载：135/0  |  提交时间：2021/04/26
Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Thermo-mechanical analysis of periodic porous materials with microscale heat transfer by multiscale asymptotic expansion method 期刊论文
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 卷号: 92, 页码: 904-919
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Zhou, Song
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Multiscale asymptotic method  Microscale heat transfer  Porous materials  Thermo-mechanical analysis  
The hole-filling method and the multiscale computation for the wave equations in perforated domains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 8, 页码: 1743-1756
作者:  Dong, Qiaoli;  Cao, Liqun
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
MULTISCALE APPROACH FOR OPTIMAL DESIGN IN CONDUCTIVITY OF COMPOSITE MATERIALS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 3, 页码: 1325-1349
作者:  Liu, Jianjun;  Cao, Liqun;  Yan, Ningning;  Cui, Junzhi
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
optimal design in conductivity  composite materials  homogenization  multiscale asymptotic method  finite element method  the interior point optimizer  
MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS 期刊论文
MULTISCALE MODELING & SIMULATION, 2015, 卷号: 13, 期号: 2, 页码: 661-690
作者:  Wang, Xin;  Cao, Liqun;  Wong, Yaushu
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
linear time-dependent coupled thermoelastic equations  homogenization  multiscale asymptotic expansion  Laplace transform  finite element method  composite materials  
Multiscale analysis and numerical algorithm for the Schrodinger equations in heterogeneous media 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3955-3973
作者:  Cao, Li-qun;  Luo, Jian-lan;  Wang, Chong-yu
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  Schrodinger equation  The effective mass approximation  Multiscale finite element method  
Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 233, 期号: 4, 页码: 905-921
作者:  Liu, Xiao-Qi;  Cao, Li-Qun;  Zhu, Qi-Ding
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic method  Elastic equations  Honeycomb structure  Multiscale finite element method