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A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载:173/0  |  提交时间:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
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:185/0  |  提交时间:2019/03/05
Periodic porous materials  Asymptotic homogenization method  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2011, 卷号: 61, 期号: 4, 页码: 615-629
作者:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Raviart-Thomas  Rayleigh quotient formula  Supercloseness  Postprocessing  
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:117/0  |  提交时间:2018/07/30
Adaptive methods  Nonconforming finite elements  A posteriori error estimation  Convergence rate  Optimal computational complexity  
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:124/0  |  提交时间:2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
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:126/0  |  提交时间:2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Asymptotic error expansion  Richardson extrapolation  Raviart-Thomas element  
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:115/0  |  提交时间:2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method  
New error estimates of biquadratic Lagrange elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 5, 页码: 712-744
作者:  Huang, HT;  Li, ZC;  Zhou, AH
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence  
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:99/0  |  提交时间:2018/07/30
natural boundary reduction  composite grid  error estimate  iteration algorithm  convergence rate