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Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
作者:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
A POSTERIORI ERROR ESTIMATES OF hp-FEM FOR OPTIMAL CONTROL PROBLEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2011, 卷号: 8, 期号: 1, 页码: 48-69
作者:  Gong, Wei;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
hp-finite element method  optimal control problem  a posteriori error estimates  
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 1, 页码: 55-71
作者:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates  
CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 卷号: 43, 期号: 6, 页码: 1203-1219
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Adaptive finite elements  a posteriori error analysis  convergence of adaptive algorithms  complexity estimates  
SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 267-283
作者:  Yan, Ningning
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
optimal control  integral equation  Galerkin method  superconvergence  a posteriori error estimates  
SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHODS FOR AMERICAN OPTIONS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 181-202
作者:  Lin, Qun;  Liu, Tang;  Zhang, Shuhua
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
American options  variational inequality  finite element methods  optimal and superconvergent estimates  interpolation postprocessing  a posteriori error estimators