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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
Authors:  Zhao, Yanmin;  Chen, Pan;  Bu, Weiping;  Liu, Xiangtao;  Tang, Yifa
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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
Authors:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
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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
Authors:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
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Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence  
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
Authors:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
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Optimal control problem  Mixed finite element  Error estimates  Superconvergence  
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
Authors:  Brunner, Hermann;  Huang, Qiumei;  Xie, Hehu
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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
Authors:  Man, Hong-Ying;  Hu, Jun;  Shi, Zhong-Ci
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Elasticity  mixed method  nonconforming finite element  
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for semisingularly perturbed reaction-diffusion problems 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 卷号: 31, 期号: 12, 页码: 1387-1407
Authors:  Zhu, Guoqing;  Chen, Shaochun
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semisingular perturbation  graded meshes  finite elements  error estimates  
Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 卷号: 209, 期号: 2, 页码: 187-207
Authors:  Liu, Huipo;  Yan, Ningning
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optimal control  Stokes equations  finite element methods  superconvergence  recovery  
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
Authors:  Ming, Pingbing;  Shi, Zhong-Ci;  Xu, Yun
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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
Authors:  Brunner, Hermann;  Hu, Qiya
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volterra integro-differential equation  vanishing delays  proportional delays  pantograph equation  collocation solutions  optimal order of superconvergence