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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
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
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载:152/0  |  提交时间:2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 3, 页码: 1395-1410
作者:  You, Chun'guang;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载:144/0  |  提交时间:2020/01/10
Steklov eigenvalue problem  eigenvalue bounds  Crouzeix-Raviart finite element method  verified computing  
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
作者:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载:163/0  |  提交时间:2018/07/30
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
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem 期刊论文
actamathematicasinicaenglishseries, 2014, 卷号: 30, 期号: 6, 页码: 949
作者:  Jia Shanghui;  Luo Fusheng;  Xie Hehu
收藏  |  浏览/下载:111/0  |  提交时间:2020/01/10
A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 卷号: 30, 期号: 6, 页码: 949-967
作者:  Jia Shang Hui;  Luo Fu Sheng;  Xie He Hu
收藏  |  浏览/下载:81/0  |  提交时间:2021/01/14
FINITE-ELEMENT APPROXIMATIONS  EQUATIONS  CONVERGENCE  ESTIMATORS  A posteriori error estimate  adaptive finite element method  nonconforming  Stokes eigenvalue problem  
computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods 期刊论文
sciencechinamathematics, 2012, 卷号: 55, 期号: 5, 页码: 1069
作者:  Luo Fusheng;  Lin Qun;  Xie Hehu
收藏  |  浏览/下载:126/0  |  提交时间:2020/01/10
AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 卷号: 21, 期号: 8, 页码: 1733-1760
作者:  Xu, Xianmin;  Henao, Duvan
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Cavitation  nonconforming FEMs  gradient flow  
A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 2, 页码: 367-382
作者:  Shi Dongyang;  Ren Jincheng;  Gong Wei
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
Stationary Navier-Stokes equations  nonconforming mixed finite element scheme  optimal order error estimates