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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:64/0  |  提交时间:2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载:143/0  |  提交时间:2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276. 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
收藏  |  浏览/下载:129/0  |  提交时间:2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
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:126/0  |  提交时间:2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 卷号: 37, 期号: 11, 页码: 1479-1500
作者:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
An Adaptive FEM for a Maxwell Interface Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 67, 期号: 2, 页码: 669-704
作者:  Duan, Huoyuan;  Qiu, Fengjuan;  Tan, Roger C. E.;  Zheng, Weiying
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Edge element method  A posteriori error estimate  Optimality  Maxwell's equations  Interface problem  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
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
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  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:112/0  |  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:85/0  |  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