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Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 136, 页码: 215-234
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Ma, Qiang;  Cheng, Xiaohan
收藏  |  浏览/下载：174/0  |  提交时间：2019/03/05
Periodic porous materials  Asymptotic homogenization method  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 卷号: 76, 期号: 11-12, 页码: 2549-2565
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Yang, Zhiqiang
收藏  |  浏览/下载：210/0  |  提交时间：2019/01/11
Heat conduction problems  Multiscale asymptotic analysis  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
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：126/0  |  提交时间：2018/07/30
Asymptotic analysis  Heat conduction equation  Quasi-periodic problem  Coordinate transformation  Finite element computation  Error estimation  
Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 32, 期号: 2, 页码: 510-530
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Wang, Ziqiang;  Zhang, Yang
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
multiscale asymptotic expansion  error estimates  periodic porous materials  integrated heat transfer  
Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations 期刊论文
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2016, 卷号: 78-79, 页码: 77-100
作者:  Ma, Qiang;  Cui, Junzhi;  Li, Zhihui
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Axisymmetric and spherical symmetric structure  Linear elastic problem  SOTS asymptotic analysis  Homogenization method  Finite element algorithm  Error estimation  
Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 8, 页码: 1884-1893
作者:  Lin, Qun;  Xie, Hehu
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Asymptotic error expansion  Richardson extrapolation  Raviart-Thomas element  
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 1, 页码: 1-15
作者:  Jia, Shanghui;  Xie, Hehu;  Yin, Xiaobo;  Gao, Shaoqin
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Stokes eigenvalue problem  stream function-vorticity-pressure method  asymptotic expansion  extrapolation  a posteriori error estimates  nonconforming finite element methods  
Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 卷号: 27, 期号: 1, 页码: 95-106
作者:  Chen, Wei;  Lin, Qun
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
eigenvalue problem  biharmonic equation  Ciarlet-Raviart scheme  asymptotic expansion  extrapolation  a posteriori error estimate