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Zhen-Zhen Tao, Bing Sun & Hai-Feng Niu. (2022) Galerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint. International Journal of Computer Mathematics 99:7, pages 1344-1366.
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Dingfang Li, Fenglin Huang & Xiulian Shi. (2018) Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint. Numerical Functional Analysis and Optimization 39:9, pages 967-989.
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Articles from other publishers (18)
Minghui Yang, Yue Shen & Zhaojie Zhou. (2023) Mixed Virtual Element Approximation of a Fourth Order Optimal Control Problem. Computational Mathematics and Mathematical Physics 63:6, pages 1001-1015.
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Zhen-Zhen Tao & Bing Sun. (2023) Space-time spectral methods for a fourth-order parabolic optimal control problem in three control constraint cases. Discrete and Continuous Dynamical Systems - B 28:1, pages 359.
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Zhen-Zhen Tao & Bing Sun. (2022) Error estimates for spectral approximation of flow optimal control problem with $ L^2 $-norm control constraint. Journal of Industrial & Management Optimization 0:0, pages 0.
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Fenglin Huang, Yanping Chen & Tingting Lin. (2022) An error estimator for spectral method approximation of flow control with state constraint. Electronic Research Archive 30:9, pages 3193-3210.
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Zhen-Zhen Tao & Bing Sun. (2022) Galerkin spectral method for elliptic optimal control problem with $L^2$-norm control constraint. Discrete and Continuous Dynamical Systems - B 27:8, pages 4121.
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Zhen-Zhen Tao & Bing Sun. (2021) Galerkin spectral method for a fourth-order optimal control problem with H1-norm state constraint. Computers & Mathematics with Applications 97, pages 1-17.
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Lixin Zhou. (2018) A priori error estimates for optimal control problems with state and control constraints. Optimal Control Applications and Methods 39:3, pages 1168-1181.
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Fenglin Huang, Zhong Zheng & Yucheng Peng. (2018) Error estimates of the space–time spectral method for parabolic control problems. Computers & Mathematics with Applications 75:2, pages 335-348.
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Yanping Chen & Fenglin Huang. (2017)
Spectral Method Approximation of Flow Optimal Control Problems with
H
1
-Norm State Constraint
. Numerical Mathematics: Theory, Methods and Applications 10:3, pages 614-638.
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Jianwei Zhou, Danping Yang & Yujie Liu. (2017)
A-Posteriori Error Estimates for Uniform
p
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. Advances in Applied Mathematics and Mechanics 9:2, pages 272-281.
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Fenglin Huang, Yanping Chen & Xiulian Shi. (2016) Equivalent a Posteriori Error Estimator of Spectral Approximation for Control Problems with Integral Control-State Constraints in One Dimension. Advances in Applied Mathematics and Mechanics 8:3, pages 464-484.
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Yanping Chen & Fenglin Huang. (2015) Galerkin Spectral Approximation of Elliptic Optimal Control Problems with $$H^1$$ H 1 -Norm State Constraint. Journal of Scientific Computing 67:1, pages 65-83.
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Yanping Chen & Jianwei Zhou. (2015) Error estimates of spectral Legendre–Galerkin methods for the fourth-order equation in one dimension. Applied Mathematics and Computation 268, pages 1217-1226.
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Jianwei Zhou & Danping Yang. (2014) Legendre–Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension. Computational Optimization and Applications 61:1, pages 135-158.
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Jianwei Zhou. (2015) The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension. Advances in Applied Mathematics and Mechanics 7:2, pages 145-157.
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Fenglin Huang & Yanping Chen. (2014) Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. Computers & Mathematics with Applications 68:8, pages 789-803.
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Jianwei Zhou. (2014) The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods. Abstract and Applied Analysis 2014, pages 1-8.
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Jianwei Zhou. (2014) Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems. Abstract and Applied Analysis 2014, pages 1-5.
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