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ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
收藏  |  浏览/下载:150/0  |  提交时间:2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
作者:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
收藏  |  浏览/下载:134/0  |  提交时间:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization  
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:153/0  |  提交时间:2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 4, 页码: 297-313
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Multiscale control problem  Mixed finite element  Homogenization  A prior error estimates  
HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 卷号: 8, 期号: 4, 页码: 863-885
作者:  Du, Rui;  Ming, Pingbing
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
Heterogeneous multiscale method  finite element method  numerical integration schemes  elliptic homogenization problems  
Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega) 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 5, 页码: 1231-1252
作者:  He WenMing;  Cui JunZhi
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
multi-scale homogenization theory  homogenization solution  second order elliptic equations with small periodic coefficients  
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2008, 卷号: 58, 期号: 9, 页码: 1349-1374
作者:  Cao, Li-Qun;  Luo, Jian-Lan
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method  
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:86/0  |  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:105/0  |  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:96/0  |  提交时间:2018/07/30
second-order elliptic equations with rapidly oscillating coefficients  homogenization theory  finite element method