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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:163/0  |  提交时间:2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
作者:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载:156/0  |  提交时间:2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 460-479
作者:  Zhang, Yongwei;  Cao, Liqun;  Feng, Yangde;  Wang, Wu
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
The electromagnetic scattering problem  Maxwell's equations  Homogenization  Multiscale asymptotic expansion  A heterogeneous material  
Multi-scale modal analysis for axisymmetric and spherical symmetric structures with periodic configurations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 卷号: 317, 页码: 1068-1101
作者:  Li, Z. H.;  Ma, Q.;  Cui, J. Z.
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Asymptotic expansion homogenization method  SOTS finite element algorithm  Modal analysis  Eigenvalue problem  Axisymmetric and spherical symmetric structure  Periodic configuration  
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  
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