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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:93/0  |  提交时间:2018/07/30
Maxwell's equations  homogenization  multiscale asymptotic expansion  composite materials  FDTD  edge finite element  
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:99/0  |  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:92/0  |  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:113/0  |  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:80/0  |  提交时间:2018/07/30
homogenization  multiscale asymptotic expansion  parabolic equation  lattice-type structure  multiscale finite element method  
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2008, 卷号: 58, 期号: 9, 页码: 1349-1374
作者:  Cao, Li-Qun;  Luo, Jian-Lan
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method  
Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 卷号: 20, 期号: 3, 页码: 543-576
作者:  Allegretto, Walter;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
homogenization  asymptotic expansion  parabolic equation with rapidly oscillating coefficients  boundary layer  finite element method  linear system of differential equation with real periodic coefficients  
Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains 期刊论文
NUMERISCHE MATHEMATIK, 2006, 卷号: 103, 期号: 1, 页码: 11-45
作者:  Cao, LQ
收藏  |  浏览/下载:71/0  |  提交时间:2018/07/30
Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2004, 卷号: 14, 期号: 3, 页码: 417-437
作者:  Cao, LQ
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
optimal control  homogenization  asymptotic expansion