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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：171/0  |  提交时间：2019/03/05
Periodic porous materials  Asymptotic homogenization method  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
Convergence of a standard adaptive nonconforming finite element method with optimal complexity 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2010, 卷号: 60, 期号: 7, 页码: 673-688
作者:  Mao, Shipeng;  Zhao, Xuying;  Shi, Zhongci
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Adaptive methods  Nonconforming finite elements  A posteriori error estimation  Convergence rate  Optimal computational complexity  
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 multiscale finite element method for elliptic problems with highly oscillatory coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2004, 卷号: 50, 期号: 1, 页码: 1-13
作者:  Chen, JR;  Cui, JZ
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
multiscale finite element  elliptic problems  highly oscillatory coefficients  domain decomposition preconditioning algorithm  
Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2003, 卷号: 44, 期号: 4, 页码: 471-486
作者:  Du, QK;  Yu, DH
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
time-dependent problem  natural boundary reduction (NBR)  D-N alternating algorithm  numerical implementation  unbounded domain  
Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2001, 卷号: 37, 期号: 1-2, 页码: 127-143
作者:  Hu, QY;  Yu, DH
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
natural boundary reduction  composite grid  error estimate  iteration algorithm  convergence rate