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Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
作者:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 8, 页码: 1903-1914
作者:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Tang, Y. F.;  Wang, F. L.;  Shi, Y. H.
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
Time fractional diffusion equations  H-1-Galerkin mixed finite element method  Anisotropic mesh  L1 approximation  Superclose and superconvergence  
A posteriori error estimator for eigenvalue problems by mixed finite element method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 5, 页码: 887-900
作者:  Jia ShangHui;  Chen HongTao;  Xie HeHu
收藏  |  浏览/下载：101/0  |  提交时间：2021/01/14
SUPERCONVERGENCE RESULT  ELLIPTIC PROBLEMS  APPROXIMATION  CONVERGENCE  second order elliptic eigenvalue problem  mixed finite element method  Raviart-Thomas  a posteriori error estimate  adaptive  
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  
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  
Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2010, 卷号: 42, 期号: 3, 页码: 382-403
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Optimal control problem  Mixed finite element  Error estimates  Superconvergence  
A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 卷号: 41, 期号: 2, 页码: 273-299
作者:  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Raviart-Thomas mixed FEM  Discontinuous Galerkin method  Convection dominated diffusion equations  Constrained optimal control problem  A priori error estimate  A posteriori error estimate  Adaptive finite element method  
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：114/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Asymptotic error expansion  Richardson extrapolation  Raviart-Thomas element  
EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS 期刊论文
Journal of Computational Mathematics, 2009, 卷号: 27, 期号: 4, 页码: 425
作者:  Shipeng Mao;  ZhongCi Shi
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
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：91/0  |  提交时间：2018/07/30