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数学与系统科学研究... [26]
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期刊论文 [29]
会议论文 [1]
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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:57/0
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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
  |  
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
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
期刊论文
OAI收割
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
作者:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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收藏
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浏览/下载:35/0
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提交时间:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations
期刊论文
OAI收割
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:
Zhang, Shuo
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收藏
  |  
浏览/下载:26/0
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提交时间:2021/10/26
biharmonic equation
optimal cubic finite element scheme
general triangulation
discretized Stokes complex
discrete strengthened Miranda-Talenti estimate
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients
期刊论文
OAI收割
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 35-62
作者:
Lundberg, Andrew
;
Sun, Pengtao
;
Wang, Cheng
;
Zhang, Chen-song
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收藏
  |  
浏览/下载:41/0
  |  
提交时间:2020/01/10
Transient Stokes interface problem
jump coefficients
distributed Lagrange multiplier
fictitious domain method
mixed finite element
an optimal error estimate
stability
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS
期刊论文
OAI收割
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:
Ma, Chupeng
;
Cao, Liqun
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收藏
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浏览/下载:17/0
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提交时间:2018/07/30
Maxwell-Schrodinger equations
finite element method
Crank-Nicolson scheme
optimal error estimate
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
  |  
浏览/下载:54/0
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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
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
;
Wang, Tingchun
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收藏
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浏览/下载:37/0
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提交时间:2018/07/30
Nonlinear Schrodinger equation
Compact scheme
Symplectic scheme
Energy conservation
Optimal error estimate
D-OPTIMALITY OF GROUP TESTING FOR JOINT ESTIMATION OF CORRELATED RARE DISEASES WITH MISCLASSIFICATION
期刊论文
OAI收割
STATISTICA SINICA, 2017, 卷号: 27, 期号: 2, 页码: 823-838
作者:
Li, Qizhai
;
Liu, Aiyi
;
Xiong, Wenjun
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收藏
  |  
浏览/下载:20/0
  |  
提交时间:2018/07/30
Binary outcomes
classification error
D-optimal criterion
group testing
maximum likelihood estimate
prevalence
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
  |  
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