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Computable Interpolation Error Constants for the Geometric Simplex Finite Elements 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 87, 期号: 1, 页码: 21
Authors:  Hao, Tingting;  Guan, Xiaofei;  Mao, Shipeng;  Chen, Shaochun
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Error Estimation  Interpolation error constants  Geometric simplex meshes  Finite element methods  
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
Favorite  |  View/Download：74/0  |  Submit date：2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
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
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
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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
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  
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 22, 页码: 9313-9321
Authors:  Chen, Shaochun;  Zheng, Yanjun;  Mao, Shipeng
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Lagrange interpolation  Anisotropic error bounds  Newton's interpolation formula  
NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 3, 页码: 815-825
Authors:  Chen Shaochun;  Zheng Yanjun;  Mao Shipeng
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planar elasticity problems  pure displacement and traction boundary conditions  nonconforming finite element  discrete Korn's second inequality  
Second-order locking-free nonconforming elements for planar linear elasticity 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 卷号: 233, 期号: 10, 页码: 2534-2548
Authors:  Chen, Shaochun;  Ren, Guobiao;  Mao, Shipeng
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Elasticity problem  Locking-free  Nonconforming finite element  
Anisotropic conforming rectangular elements for elliptic problems of any order 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 5, 页码: 1137-1148
Authors:  Chen, Shaochun;  Yang, Yongqin;  Mao, Shipeng
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Anisotropic Hermite interpolation  Divided difference with coincident knots  Elliptic problem of any order  
An anisotropic, superconvergent nonconforming plate finite element 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 卷号: 220, 期号: 1-2, 页码: 96-110
Authors:  Chen, Shaochun;  Yin, Li;  Mao, Shipeng
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regularity condition  double set parameter  nonconforming plate element  anisotropic convergence  superconvergence  
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