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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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Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
Authors:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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View/Download:59/0
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Submit date:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:
Zhao, Zhi-Xue
;
Banda, Mapundi K.
;
Guo, Bao-Zhu
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View/Download:334/91
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Submit date:2018/07/30
Inverse Problem
Matrix Pencil Method
Finite Difference Method
Truncated Singular Value Decomposition
Generalized Cross-validation
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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View/Download:96/0
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Submit date:2018/07/30
Optimal control problem
Parabolic equation
Finite element method
A priori error estimate
Dirichlet boundary control
OPTIMAL STATE ESTIMATION FOR NON-TIME INVERTIBLE EVOLUTIONARY SYSTEMS
期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 卷号: 54, 期号: 5, 页码: 2754-2786
Authors:
Guo, Bao-Zhu
;
Yu, Huaiqiang
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View/Download:57/0
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Submit date:2018/07/30
output tracking
parabolic system
infinite-dimensional filter
optimal state estimate
FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 2, 页码: 1229-1262
Authors:
Gong, Wei
;
Yan, Ningning
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Submit date:2018/07/30
finite element method
parabolic equation
optimal control problem
moving manifold
fully discrete error estimates
Multiscale asymptotic method of optimal control on the boundary for heat equations of composite materials
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 2, 页码: 1103-1118
Authors:
Cao, L. Q.
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View/Download:51/0
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Submit date:2018/07/30
homogenization
asymptotic expansion
optimal control on the boundary
heat equation
composite materials
porous media
An optimal control problem of a coupled nonlinear parabolic population system
期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 卷号: 23, 期号: 3, 页码: 377-388
Authors:
Jia, Chao-hua
;
Feng, De-xing
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View/Download:48/0
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Submit date:2018/07/30
nonlinear parabolic systems
optimal control
upper and lower solutions
anoptimalcontrolproblemofacouplednonlinearparabolicpopulationsystem
期刊论文
actamathematicaeapplicataesinica, 2007, 卷号: 023, 期号: 003, 页码: 377
Authors:
Chaohua Jia
;
Dexing Feng
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View/Download:55/0
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Submit date:2020/01/10
Parameter identification for a class of abstract nonlinear parabolic distributed parameter systems
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 卷号: 48, 期号: 12, 页码: 1847-1861
Authors:
Wang, QF
;
Feng, DX
;
Cheng, DZ
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View/Download:70/0
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Submit date:2018/07/30
nonlinear parabolic distributed parameter system
parameter identification
optimal parameter
necessary optimality condition
A posteriori error estimates for optimal control problems governed by parabolic equations
期刊论文
NUMERISCHE MATHEMATIK, 2003, 卷号: 93, 期号: 3, 页码: 497-521
Authors:
Liu, WB
;
Yan, NN
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View/Download:70/0
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Submit date:2018/07/30