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Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
作者:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate  
Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 卷号: 37, 期号: 11, 页码: 1479-1500
作者:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
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  
A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
作者:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 4, 页码: 2099-2120
作者:  Zhao, Xuying;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
local refinement  adaptive finite element  red-green refinement  enneasection  1-irregular mesh  hanging node  
CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 卷号: 43, 期号: 6, 页码: 1203-1219
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Adaptive finite elements  a posteriori error analysis  convergence of adaptive algorithms  complexity estimates  
An optimally convergent adaptive mixed finite element method 期刊论文
NUMERISCHE MATHEMATIK, 2008, 卷号: 111, 期号: 1, 页码: 35-54
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30