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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Gong Wei [3]
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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
Authors:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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Submit date: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
Authors:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
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Submit date:2022/04/29
inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems (vol 39, pg 1985, 2019)
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 800-800
Authors:
Gong, Wei
;
Liu, Wenbin
;
Tan, Zhiyu
;
Yan, Ningning
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Submit date:2020/09/23
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
Authors:
Gong, Wei
;
Liu, Wenbin
;
Tan, Zhiyu
;
Yan, Ningning
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Submit date:2020/01/10
optimal control problem
elliptic equation
Dirichlet boundary control
energy space
adaptive finite element method
convergence
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
Authors:
Gong, Wei
;
Tan, Zhiyu
;
Zhang, Shuo
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Submit date: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
Authors:
Tan, Zhiyu
;
Gong, Wei
;
Yan, Ningning
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Submit date:2018/07/30
Overlapping domain decomposition method
elliptic optimal control problem
preconditioned MINRES method
preconditioned GMRES method