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A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
Authors:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
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Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
Authors:  Zhang, Shangyou;  Zhang, Shuo
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Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
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  
CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES 期刊论文
Journal of Computational Mathematics, 2014, 卷号: 32, 期号: 2, 页码: 169
Authors:  Li Mingxia;  Guan Xiaofei;  Mao Shipeng
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A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2011, 卷号: 1, 期号: 3, 页码: 248-263
Authors:  Lin, Qun;  Xie, Hehu
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Finite element method  least-squares fitting  vertex-edge-face interpolation  superconvergence  a posteriori error estimate  
ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 卷号: 7, 期号: 4, 页码: 639-655
Authors:  Mao, Shipeng;  Nicaise, Serge;  Shi, Zhong-Ci
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Morley element  plate elements  plate bending problems  maximal angle condition  
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
Authors:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
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Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates  
Error estimates of triangular finite elements under a weak angle condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 230, 期号: 1, 页码: 329-331
Authors:  Mao, Shipeng;  Shi, Zhongci
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Interpolation error estimates  Bramble-Hilbert lemma  Maximal angle condition  
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
Authors:  Lin, Qun;  Liu, Tang;  Zhang, Shuhua
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American options  variational inequality  finite element methods  optimal and superconvergent estimates  interpolation postprocessing  a posteriori error estimators  
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