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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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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
Authors:
Shen, Yue
;
Jin, Chang
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View/Download:14/0
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Submit date: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
Authors:
Gong, Wei
;
Liu, Wenbin
;
Tan, Zhiyu
;
Yan, Ningning
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View/Download:23/0
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Submit date:2020/01/10
optimal control problem
elliptic equation
Dirichlet boundary control
energy space
adaptive finite element method
convergence
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
Authors:
Li, Ruo
;
Ming, Pingbing
;
Sun, Ziyuan
;
Yang, Zhijian
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Submit date:2020/01/10
Least-squares reconstruction
Discontinuous Galerkin method
Elliptic problem
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
Authors:
Cui, Jianbo
;
Hong, Jialin
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View/Download:17/0
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Submit date:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
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
Authors:
Ge, Liang
;
Yan, Ningning
;
Wang, Lianhai
;
Liu, Wenbin
;
Yang, Danping
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View/Download:19/0
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Submit date: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
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
Authors:
Chang, Lili
;
Gong, Wei
;
Yan, Ningning
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Submit date: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
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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Submit date:2018/07/30
Optimal control problem
Parabolic equation
Finite element method
A priori error estimate
Dirichlet boundary control
FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 2, 页码: 265-279
Authors:
Gong, Wei
;
Yan, Ningning
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View/Download:10/0
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Submit date:2018/07/30
Time optimal control problems
finite element method
error estimates
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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View/Download:13/0
  |  
Submit date:2018/07/30
Galerkin finite element method
Optimal control problems
Time fractional diffusion equations
A priori error estimate
Variational discretization
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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View/Download:8/0
  |  
Submit date:2018/07/30
finite element method
parabolic equation
optimal control problem
moving manifold
fully discrete error estimates