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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  
Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 306, 页码: 87-115
作者:  Ma, Qiang;  Cui, Junzhi;  Li, Zhihui;  Wang, Ziqiang
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Asymptotic analysis  Heat conduction equation  Quasi-periodic problem  Coordinate transformation  Finite element computation  Error estimation  
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM 期刊论文
ACTA MATHEMATICA SCIENTIA, 2010, 卷号: 30, 期号: 6, 页码: 2064-2076
作者:  Ren Jian;  Fu Hongbo;  Cao Daomin;  Duan Jinqiao
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
microscopic-macroscopic system  stochastic partial differential equations  averaging principle  effective dynamics  slow-fast scales  
Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 卷号: 275, 期号: 1, 页码: 163-186
作者:  Wang, Wei;  Duan, Jinqiao
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
On a micro-macro model for polymeric fluids near equilibrium 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 卷号: 60, 期号: 6, 页码: 838-866
作者:  Lin, Fang-Hua;  Liu, Chun;  Zhang, Ping
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 卷号: 38, 期号: 5, 页码: 1508-1527
作者:  Wang, Wei;  Cao, Daomin;  Duan, Jinqiao
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
stochastic PDEs  effective macroscopic model  stochastic homogenization  white noise  probability distribution  perforated domain