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Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载:141/0  |  提交时间:2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
作者:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
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 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:103/0  |  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  
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:89/0  |  提交时间:2018/07/30
the method of multiscale asymptotic expansions  second order elliptic equations with rapidly oscillating coefficients  error estimate  
A local error estimate of the method of multi-scale asymptotic expansions for elliptic problems with rapidly oscillatory coefficients 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 卷号: 329, 期号: 1, 页码: 547-556
作者:  He, Wen-ming;  Cui, Jun-zhi
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
local error estimate  the method of multi-scale asymptotic expansions  rapidly oscillating coefficients  
A finite element method for elliptic problems with rapidly oscillating coefficients 期刊论文
BIT NUMERICAL MATHEMATICS, 2007, 卷号: 47, 期号: 1, 页码: 77-102
作者:  He, Wen-Ming;  Cui, Jun-Zhi
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
second-order elliptic equations with rapidly oscillating coefficients  homogenization theory  finite element method  
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:80/0  |  提交时间:2018/07/30
multiscale asymptotic analysis  second order Helmholtz equation  rapidly oscillating coefficients  finite element method  postprocessing technique