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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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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:137/0
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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
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:125/0
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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
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:153/0
  |  
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:207/0
  |  
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:189/0
  |  
提交时间:2020/01/10
Elliptic optimal control problem
Robin boundary control
Adaptive finite element method
Convergence and quasi-optimality
A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2262-2287
作者:
Gong, Wei
;
Hu, Weiwei
;
Mateos, Mariano
;
Singler, John
;
Zhang, Xiao
;
Zhang, Yangwen
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浏览/下载:177/0
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提交时间:2018/10/07
Dirichlet boundary control
hybridizable discontinuous Galerkin method (HDG)
error analysis
low regularity
convection diffusion
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:145/0
  |  
提交时间:2018/07/30
elliptic equation
mixed finite element method
optimal control problem
optimal preconditioner
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS
期刊论文
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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  |  
浏览/下载:184/0
  |  
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
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:
Huang, Na
;
Ma, Chang-Feng
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浏览/下载:826/150
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提交时间:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:
Gong, Wei
;
Xie, Hehu
;
Yan, Ningning
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浏览/下载:132/0
  |  
提交时间:2018/07/30
Optimal control problems
Elliptic equation
Control constraints
A posteriori error estimates
Adaptive finite element method
Multilevel correction method