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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  
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  
A MULTISCALE APPROACH AND A HYBRID FE-FDTD ALGORITHM FOR 3D TIME-DEPENDENT MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS 期刊论文
MULTISCALE MODELING & SIMULATION, 2015, 卷号: 13, 期号: 4, 页码: 1446-1477
作者:  Cao, Liqun;  Li, Keqi;  Luo, Jianlan;  Wong, Yaushu
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Maxwell's equations  homogenization  multiscale asymptotic expansion  composite materials  FDTD  edge finite element  
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 ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4257-4289
作者:  Cao, Liqun;  Zhang, Ya;  Allegretto, Walter;  Lin, Yanping
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Maxwell's equations  homogenization  multiscale asymptotic expansion  composite materials  edge element  
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 3008-3032
作者:  Dong, Qiao-Li;  Cao, Li-Qun
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
Multiscale asymptotic method for heat transfer equations in lattice-type structures 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 2, 页码: 232-255
作者:  Zhai, Fang-Man;  Cao, Li-Qun
收藏  |  浏览/下载：76/0  |  提交时间：2018/07/30
homogenization  multiscale asymptotic expansion  parabolic equation  lattice-type structure  multiscale finite element method  
Multiscale asymptotic method of optimal control on the boundary for heat equations of composite materials 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 2, 页码: 1103-1118
作者:  Cao, L. Q.
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
homogenization  asymptotic expansion  optimal control on the boundary  heat equation  composite materials  porous media  
The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2008, 卷号: 5, 期号: 4, 页码: 612-634
作者:  Wang, X.;  Cao, L.
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
homogenization  multiscale analysis  elastic equations  perforated domain  hole-filling method