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High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:  Wang, Fenling;  Zhao, Yanmin;  Shi, Zhengguang;  Shi, Yanhua;  Tang, Yifa
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Time fractional wave equation  anisotropic nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  stability  superclose and superconvergence  
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  
Spatial High Accuracy Analysis of FEM for Two-dimensional Multi-term Time-fractional Diffusion-wave Equations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 4, 页码: 828-841
作者:  Wei, Ya-bing;  Zhao, Yan-min;  Shi, Zheng-guang;  Wang, Fen-ling;  Tang, Yi-fa
收藏  |  浏览/下载:213/0  |  提交时间:2018/11/16
multi-term time-fractional diffusion-wave equation  bilinear finite element method  Crank-Nicolson approximation  stability  convergence and superconvergence  
spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations 期刊论文
actamathematicaeapplicataesinica, 2018, 卷号: 34, 期号: 4, 页码: 828
作者:  Wei Yabing;  Zhao Yanmin;  Shi Zhengguang;  Wang Fenling;  Tang Yifa
收藏  |  浏览/下载:154/0  |  提交时间:2020/01/10
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 1087-1099
作者:  Zhao, Yanmin;  Zhang, Yadong;  Liu, F.;  Turner, I.;  Tang, Yifa;  Anh, V.
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Multi-term time-fractional diffusion equation  Finite element method  L1 approximation  Stability Convergence and superconvergence  
Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 1, 页码: 407-428
作者:  Zhao, Yanmin;  Chen, Pan;  Bu, Weiping;  Liu, Xiangtao;  Tang, Yifa
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Mixed finite element methods  L1 method  Time-fractional diffusion equation  Unconditional stability  Superconvergence and convergence  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
作者:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
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
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence