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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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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
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
Authors:
Shen, Yue
;
Yan, Ningning
;
Zhou, Zhaojie
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Submit date:2020/01/10
Elliptic optimal control problem
Robin boundary control
Adaptive finite element method
Convergence and quasi-optimality
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 941-967
Authors:
Gong, Wei
;
Hinze, Michael
;
Zhou, Zhaojie
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Submit date:2018/07/30
Optimal control problem
Parabolic equation
Finite element method
A priori error estimate
Dirichlet boundary control
Finite element approximation of optimal control problems governed by time fractional diffusion equation
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
Authors:
Zhou, Zhaojie
;
Gong, Wei
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Submit date:2018/07/30
Galerkin finite element method
Optimal control problems
Time fractional diffusion equations
A priori error estimate
Variational discretization
THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 卷号: 7, 期号: 4, 页码: 681-699
Authors:
Zhou, Zhaojie
;
Yan, Ningning
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Submit date:2018/07/30
Local Discontinuous Galerkin method
unsteady convection diffusion equations
constrained optimal control problem
a priori error estimate
A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 卷号: 41, 期号: 2, 页码: 273-299
Authors:
Yan, Ningning
;
Zhou, Zhaojie
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Submit date:2018/07/30
Raviart-Thomas mixed FEM
Discontinuous Galerkin method
Convection dominated diffusion equations
Constrained optimal control problem
A priori error estimate
A posteriori error estimate
Adaptive finite element method
VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 237-253
Authors:
Hinze, Michael
;
Yan, Ningning
;
Zhou, Zhaojie
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Submit date:2018/07/30
Constrained optimal control problem
Convection dominated diffusion equation
Edge stabilization Galerkin method
Variational discretization
A priori error estimate
A posteriori error estimate
A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 223, 期号: 1, 页码: 198-217
Authors:
Yan, Ningning
;
Zhou, Zhaojie
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Submit date:2018/07/30
Constrained optimal-control problem
Convection-dominated diffusion equation
Edge-stabilization Galerkin method
A priori error estimate
A posteriori error estimate
A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations
期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2008, 卷号: 3, 期号: 3, 页码: 415-442
Authors:
Yan, Ningning
;
Zhou, Zhaojie
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View/Download:60/0
  |  
Submit date:2018/07/30
Constrained optimal control problem
convection dominated diffusion equation
edge stabilization Galerkin method
a posteriori error estimate