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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:68/0  |  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:92/0  |  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:91/0  |  提交时间:2018/07/30
Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 卷号: 157, 期号: 1, 页码: 1-29
作者:  Cao, LQ;  Cui, JZ;  Luo, JL
收藏  |  浏览/下载:79/0  |  提交时间:2018/07/30
multiscale asymptotic analysis  second-order elliptic type equation  highly oscillatory coefficient  finite element method  post-processing technique  
Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 卷号: 45, 期号: 12, 页码: 1588-1602
作者:  Cao, LQ;  Cui, JZ;  Zhu, DC;  Luo, JL
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
spectral analysis  multiscale asymptotic expansion  second order elliptic operator  rapidly oscillating coefficient  perforated domain  
Multiscale asymptotic expansion for a class of hyperbolic-parabolic type equation with highly oscillatory coefficients 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 5, 页码: 505-518
作者:  Cao, LQ;  Zhu, DC;  Luo, JL
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
multiscale asymptotic expansion  hyperbolic-parabolic type equation  highly oscillatory coefficient  
Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 卷号: 40, 期号: 2, 页码: 543-577
作者:  Cao, LQ;  Cui, JZ;  Zhu, DC
收藏  |  浏览/下载:78/0  |  提交时间:2018/07/30
multiscale asymptotic analysis  second order Helmholtz equation  rapidly oscillating coefficients  finite element method  postprocessing technique