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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:107/0  |  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:116/0  |  提交时间:2018/07/30
Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence  
DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 48, 期号: 5, 页码: 1944-1967
作者:  Brunner, Hermann;  Huang, Qiumei;  Xie, Hehu
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
pantograph delay differential equations  vanishing proportional delay  discontinuous Galerkin method  optimal order of superconvergence  
LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2009, 卷号: 19, 期号: 1, 页码: 51-65
作者:  Man, Hong-Ying;  Hu, Jun;  Shi, Zhong-Ci
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
Elasticity  mixed method  nonconforming finite element  
A new superconvergence property of nonconforming rotated Q(1) element in 3D 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 卷号: 197, 期号: 1-4, 页码: 95-102
作者:  Ming, Pingbing;  Shi, Zhong-Ci;  Xu, Yun
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
superconvergence  nonconforming rotated Q(1) element  numerical integration  
Optimal superconvergence results for delay integro-differential equations of pantograph type 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 45, 期号: 3, 页码: 986-1004
作者:  Brunner, Hermann;  Hu, Qiya
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
volterra integro-differential equation  vanishing delays  proportional delays  pantograph equation  collocation solutions  optimal order of superconvergence  
New error estimates of biquadratic Lagrange elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 5, 页码: 712-744
作者:  Huang, HT;  Li, ZC;  Zhou, AH
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence  
Optimal superconvergence orders of iterated collocation solutions for volterra integral equations with vanishing delays 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 5, 页码: 1934-1949
作者:  Brunner, H;  Hu, QY
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
delay integral equation  proportional delays  collocation method  iterated collocation  solution  optimal order of superconvergence  
Superconvergence of discontinuous galerkin method for nonstationary hyperbolic equation 期刊论文
Journal of Computational Mathematics, 2002, 卷号: 20, 期号: 4, 页码: 429
作者:  Chen Ying;  Lin Jiafu;  Lin Qun
收藏  |  浏览/下载:62/0  |  提交时间:2018/07/30