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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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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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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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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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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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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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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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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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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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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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Constrained optimal control problem  convection dominated diffusion equation  edge stabilization Galerkin method  a posteriori error estimate