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A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
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:114/0  |  提交时间:2018/07/30
magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
PERSPECTIVES IN MECHANICS OF HETEROGENEOUS SOLIDS 期刊论文
ACTA MECHANICA SOLIDA SINICA, 2011, 卷号: 24, 期号: 1, 页码: 1-26
作者:  Chen, C. Q.;  Cui, J. Z.;  Duan, H. L.;  Feng, X. Q.;  He, L. H.;  Hu, G. K.;  Huang, M. J.;  Huo, Y. Z.;  Ji, B. H.;  Liu, B.;  Peng, X. H.;  Shi, H. J.;  Sun, Q. P.;  Wang, J. X.;  Wang, Y. S.;  Zhao, H. P.;  Zhao, Y. P.;  Zheng, Q. S.;  Zou, W. N.
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
heterogeneous materials  smart materials  biological materials  multiscale mechanics  micro- and nano-mechanics  damage and fracture  constitutive relation  elastic wave  surface effects  
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  
ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS 期刊论文
Journal of Computational Mathematics, 2010, 卷号: 28, 期号: 5, 页码: 621
作者:  Zhao Xuying;  Mao Shipeng;  Shi Zhongci
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
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