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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：94/0  |  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：170/0  |  提交时间：2021/04/26
Maxwell's equations  dispersive medium  well-posedness  the 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：143/0  |  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 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：127/0  |  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：140/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 卷号: 335, 期号: 1, 页码: 657-668
作者:  He, Wen-Ming;  Cui, Jun-Zhi
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
the method of multiscale asymptotic expansions  second order elliptic equations with rapidly oscillating coefficients  error estimate  
Finite element approximations of Green function G(x0)(epsilon) based on the method of multiscale asymptotic expansions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 174, 期号: 1, 页码: 199-222
作者:  He, WM;  Lin, CS;  Cui, JZ
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
finite element algorithm  Green function  the method of multiscale asymptotic expansions  pointwise error estimate