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数学与系统科学研究... [17]
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期刊论文 [17]
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2022 [2]
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Optimal convergence of finite element approximation to an optimization problem with PDE constraint*
期刊论文
OAI收割
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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收藏
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浏览/下载:56/0
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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
OAI收割
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
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收藏
  |  
浏览/下载:53/0
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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
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION
期刊论文
OAI收割
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:
Gong, Wei
;
Zhu, Shengfeng
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收藏
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浏览/下载:39/0
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提交时间:2021/10/26
shape optimization
shape gradient
boundary formulation
boundary correction
a priori error estimate
finite element
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 644-660
作者:
Ge, Liang
;
Yan, Ningning
;
Wang, Lianhai
;
Liu, Wenbin
;
Yang, Danping
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收藏
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浏览/下载:53/0
  |  
提交时间:2019/03/05
Constrained convex optimal control
Heterogeneous multiscale finite element
A priori error estimate
Elliptic equations with highly oscillatory coefficients
Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
作者:
Chang, Lili
;
Gong, Wei
;
Yan, Ningning
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收藏
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浏览/下载:23/0
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提交时间:2018/07/30
Dirichlet boundary control
Weak boundary penalization
Finite element method
A priori error estimate
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs
期刊论文
OAI收割
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 941-967
作者:
Gong, Wei
;
Hinze, Michael
;
Zhou, Zhaojie
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收藏
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浏览/下载:29/0
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提交时间: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
OAI收割
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:
Zhou, Zhaojie
;
Gong, Wei
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收藏
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浏览/下载:26/0
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提交时间:2018/07/30
Galerkin finite element method
Optimal control problems
Time fractional diffusion equations
A priori error estimate
Variational discretization
Numerical analysis for the approximation of optimal control problems with pointwise observations
期刊论文
OAI收割
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4502-4520
作者:
Chang, Lili
;
Gong, Wei
;
Yan, Ningning
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收藏
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浏览/下载:33/0
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提交时间:2018/07/30
optimal control problems
pointwise observations
finite element method
a priori error estimate
a posteriori error estimate
Robust error estimates for the finite element approximation of elliptic optimal control problems
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 236, 期号: 6, 页码: 1370-1381
作者:
Gong, Wei
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收藏
  |  
浏览/下载:20/0
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提交时间:2018/07/30
Optimal control problem
Bang-bang control
Finite element method
A priori error estimate
A posteriori error estimate
MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES
期刊论文
OAI收割
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 卷号: 49, 期号: 3, 页码: 984-1014
作者:
Gong, Wei
;
Yan, Ningning
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收藏
  |  
浏览/下载:16/0
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提交时间:2018/07/30
optimal control problem
Dirichlet boundary control
mixed finite element
a priori error estimate