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中国科学院数学与系统科学研究院机构知识库
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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
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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
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
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浏览/下载:141/0
  |  
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
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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
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
作者:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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浏览/下载:124/0
  |  
提交时间:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:151/0
  |  
提交时间:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
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
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浏览/下载:157/0
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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
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:
Gong, Wei
;
Liu, Wenbin
;
Tan, Zhiyu
;
Yan, Ningning
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浏览/下载:210/0
  |  
提交时间:2020/01/10
optimal control problem
elliptic equation
Dirichlet boundary control
energy space
adaptive finite element method
convergence
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:
Shen, Yue
;
Yan, Ningning
;
Zhou, Zhaojie
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  |  
浏览/下载:190/0
  |  
提交时间:2020/01/10
Elliptic optimal control problem
Robin boundary control
Adaptive finite element method
Convergence and quasi-optimality
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhang, Shuo
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浏览/下载:146/0
  |  
提交时间:2018/07/30
elliptic equation
mixed finite element method
optimal control problem
optimal preconditioner
OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 550-570
作者:
Tan, Zhiyu
;
Gong, Wei
;
Yan, Ningning
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  |  
浏览/下载:110/0
  |  
提交时间:2018/07/30
Overlapping domain decomposition method
elliptic optimal control problem
preconditioned MINRES method
preconditioned GMRES method