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ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 5, 页码: 621-644
Authors:  Zhao, Xuying;  Mao, Shipeng;  Shi, Zliong-Ci
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Finite element method  Adaptive algorithm  Hanging node  1-irregular mesh  Convergence analysis  
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  
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  
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 METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 4, 页码: 2099-2120
Authors:  Zhao, Xuying;  Mao, Shipeng;  Shi, Zhongci
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local refinement  adaptive finite element  red-green refinement  enneasection  1-irregular mesh  hanging node  
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  
EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 4, 页码: 425-440
Authors:  Mao, Shipeng;  Shi, Zhong-ci
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Mixed finite element  Nonconforming finite element  Explicit error estimate  Maximal angle condition  
High accuracy analysis of two nonconforming plate elements 期刊论文
NUMERISCHE MATHEMATIK, 2009, 卷号: 111, 期号: 3, 页码: 407-443
Authors:  Mao, Shipeng;  Shi, Zhong-ci
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ON THE INTERPOLATION ERROR ESTIMATES FOR Q(1) QUADRILATERAL FINITE ELEMENTS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 47, 期号: 1, 页码: 467-486
Authors:  Mao, Shipeng;  Nicaise, Serge;  Shi, Zhong-Ci
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error estimates  quadrilateral elements  isoparametric finite elements  maximal angle condition  
A CONVERGENT ADAPTIVE FINITE ELEMENT METHOD WITH OPTIMAL COMPLEXITY 期刊论文
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2008, 卷号: 30, 页码: 291-304
Authors:  Becker, Roland;  Mao, Shipeng;  Shi, Zhong-Ci
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adaptive finite element method  a posteriori error estimator  convergence rate  optimal computational complexity