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Nonstandard finite element de Rham complexes on cubical meshes 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 卷号: 60, 期号: 2, 页码: 373-409
Authors:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
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Finite element  Nonconforming element  de Rham complex  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
Authors:  Shen, Yue;  Jin, Chang
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Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
Hexahedral constraint-free finite element method on meshes with hanging nodes 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 12, 页码: 2591-2616
Authors:  Zhao, Xuying;  Shi, Zhong-Ci
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adaptive finite element  a posteriori error estimate  hexahedral  nonconforming element  hanging node  
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
Authors:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
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Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
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  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
Authors:  Tang, Shibing;  Xu, Xuejun
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biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method  
Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 1, 页码: 407-428
Authors:  Zhao, Yanmin;  Chen, Pan;  Bu, Weiping;  Liu, Xiangtao;  Tang, Yifa
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Mixed finite element methods  L1 method  Time-fractional diffusion equation  Unconditional stability  Superconvergence and convergence  
A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods 期刊论文
BIT NUMERICAL MATHEMATICS, 2015, 卷号: 55, 期号: 4, 页码: 1243-1266
Authors:  Xie, Hehu
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Eigenvalue problem  Multi-level correction  Multigrid  Finite element method  
A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2015, 卷号: 8, 期号: 3, 页码: 383-405
Authors:  Han, Xiaole;  Li, Yu;  Xie, Hehu
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Steklov eigenvalue problem  multilevel correction  nonconforming finite element method  
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