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Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载：182/0  |  提交时间：2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
作者:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
收藏  |  浏览/下载：178/0  |  提交时间：2020/01/10
Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 15
作者:  Shi, Y. H.;  Zhao, Y. M.;  Wang, F. L.;  Tang, Y. F.
收藏  |  浏览/下载：152/0  |  提交时间：2020/01/10
Multi-term time fractional diffusion-wave equations  linear triangular finite element  Crank-Nicolson approximation  stability  superclose and superconvergence  
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 338, 页码: 290-304
作者:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Wang, F. L.;  Tang, Y. F.
收藏  |  浏览/下载：200/0  |  提交时间：2018/10/07
Multi-term time fractional diffusion-wave equation  Nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  Superclose and superconvergence  Anisotropic meshes  
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  
CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES 期刊论文
Journal of Computational Mathematics, 2014, 卷号: 32, 期号: 2, 页码: 169
作者:  Li Mingxia;  Guan Xiaofei;  Mao Shipeng
收藏  |  浏览/下载：108/0  |  提交时间：2020/01/10
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：106/0  |  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  
ACCURACY ENHANCEMENT FOR THE SIGNORINI PROBLEM WITH FINITE ELEMENT METHOD 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 3, 页码: 897-908
作者:  Li, Mingxia;  Chen, Hongtao;  Mao, Shipeng
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
finite element methods  the Signorini problem  superconvergence  
The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 卷号: 235, 期号: 3, 页码: 696-707
作者:  Liu, Dongjie;  Wu, Jiming;  Yu, Dehao
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Cauchy principal value integral  Newton-Cotes method  Superconvergence result  
Superconvergence analysis of FEMs for the Stokes-Darcy system 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 卷号: 33, 期号: 13, 页码: 1605-1617
作者:  Chen, Wenbin;  Chen, Puying;  Gunzburger, Max;  Yan, Ningning
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Stokes and Darcy equations  superconvergence  Hood-Taylor element