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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：162/0  |  提交时间：2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
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：101/0  |  提交时间：2018/07/30
Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 266, 页码: 149-168
作者:  Huang, Jizu;  Cao, Liqun;  Yang, Chao
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Radiation heat transfer equation  Homogenization  Multiscale asymptotic expansion  Composite materials  Porous media  
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 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 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：89/0  |  提交时间：2018/07/30
homogenization  asymptotic expansion  optimal control on the boundary  heat equation  composite materials  porous media  
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：70/0  |  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  
Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains 期刊论文
NUMERISCHE MATHEMATIK, 2004, 卷号: 96, 期号: 3, 页码: 525-581
作者:  Cao, LQ;  Cui, JZ
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30