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Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
Authors:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
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Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
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
Authors:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
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A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
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
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
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Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
Convergence of a standard adaptive nonconforming finite element method with optimal complexity 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2010, 卷号: 60, 期号: 7, 页码: 673-688
Authors:  Mao, Shipeng;  Zhao, Xuying;  Shi, Zhongci
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Adaptive methods  Nonconforming finite elements  A posteriori error estimation  Convergence rate  Optimal computational complexity  
A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
Authors:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
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adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
ADAPTIVE FINITE ELEMENT APPROXIMATION FOR A CLASS OF PARAMETER ESTIMATION PROBLEMS 期刊论文
Journal of Computational Mathematics, 2010, 卷号: 28, 期号: 5, 页码: 645
Authors:  Karl Kunisch;  Liu Wenbin;  Chang Yanzhen;  Yan Ningning;  Li Ruo
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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
Authors:  Yan, Ningning
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optimal control  integral equation  Galerkin method  superconvergence  a posteriori error estimates  
A new a posteriori error estimate for the Morley element 期刊论文
NUMERISCHE MATHEMATIK, 2009, 卷号: 112, 期号: 1, 页码: 25-40
Authors:  Hu, Jun;  Shi, Zhongci
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A simple a-posteriori error estimation for adaptive BEM in elasticity 期刊论文
COMPUTATIONAL MECHANICS, 2003, 卷号: 30, 期号: 5-6, 页码: 343-354
Authors:  Chen, HB;  Yu, DH;  Schnack, E
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a-posteriori error estimation  adaptive boundary element method  hyper-singular boundary integral equation  adaptive mesh refinement  
On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 卷号: 40, 期号: 5, 页码: 1870-1895
Authors:  Liu, WB;  Yan, NN
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finite element approximation  p-Laplacian  a posteriori error estimators  quasi norms  interpolation error estimates