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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  
The local ultraconvergence for high-degree Galerkin finite element methods 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 446, 期号: 1, 页码: 62-86
作者:  He, Wen-ming;  Cui, Junzhi;  Shen, Jiangman
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Elliptic problem  Ultraconvergence  Derivative recovery operator  Displacement  Derivative  
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：100/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Raviart-Thomas  Rayleigh quotient formula  Supercloseness  Postprocessing  
Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 卷号: 49, 期号: 10, 页码: 1363-1375
作者:  Mao Shipeng;  Shi Zhongci
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
anisotropic  interpolation error  consistency error  nonconforming rotated Q(1) element  
Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 卷号: 49, 期号: 10, 页码: 1405-1429
作者:  Wu Haijun;  Chen Zhiming
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
multigrid V-cycle algorithm  adaptive finite element meshes  local relaxation  Scott-Zhang interpolation  
nonconformingrotatedq1elementonnontensorproductanisotropicmeshes 期刊论文
scienceinchinaseriesamathematics, 2006, 卷号: 49, 期号: 10, 页码: 1363
作者:  MAO Shipeng;  SHI Zhongci
收藏  |  浏览/下载：86/0  |  提交时间：2020/01/10
Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2004, 卷号: 158, 期号: 2, 页码: 307-317
作者:  Zhang, S
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
preconditioned GMRES method  nonsymmetric and indefinite elliptic problem  finite element method  
Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 卷号: 45, 期号: 12, 页码: 1588-1602
作者:  Cao, LQ;  Cui, JZ;  Zhu, DC;  Luo, JL
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
spectral analysis  multiscale asymptotic expansion  second order elliptic operator  rapidly oscillating coefficient  perforated domain  
Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 卷号: 185, 期号: 1, 页码: 75-89
作者:  Chen, JR;  Li, LK
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
uniform convergence  preconditioning  nonconforming element  mixed clement  indefinite problems  
High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element 期刊论文
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1999, 卷号: 15, 期号: 1, 页码: 19-31
作者:  Lin, Q;  Wu, DS
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Carey non-conforming finite element  interpolation postprocessing  eigenvalue problems  high-accuracy approximations