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RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 1, 页码: 55-71
作者:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates  
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:120/0  |  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:137/0  |  提交时间:2018/07/30
local error estimate  the method of multi-scale asymptotic expansions  rapidly oscillating coefficients  
Finite element approximations of Green function G(x0)(epsilon) based on the method of multiscale asymptotic expansions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 174, 期号: 1, 页码: 199-222
作者:  He, WM;  Lin, CS;  Cui, JZ
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
finite element algorithm  Green function  the method of multiscale asymptotic expansions  pointwise error estimate  
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 3, 页码: 1122-1149
作者:  Fairweather, Graeme;  Lin, Qun;  Lin, Yanping;  Wang, Junping;  Zhang, Shuhua
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
second order elliptic problems  mixed finite element methods  asymptotic expansions  interpolation postprocessing  a posteriori error estimators