A Fast Stochastic Galerkin Method for a Constrained Optimal Control Problem Governed by a Random Fractional Diffusion Equation

Journal of Computational Mathematics ◽

10.4208/jcm.1612-m2016-0696 ◽

2018 ◽

Vol 36 (2) ◽

pp. 259-275

Author(s):

Ning Du and Wanfang Shen

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Galerkin Method ◽

Fractional Diffusion ◽

Constrained Optimal Control ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin ◽

Constrained Optimal Control Problem

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Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2011.563845 ◽

2011 ◽

Vol 88 (14) ◽

pp. 2988-3011 ◽

Author(s):

Jianwei Zhou ◽

Danping Yang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Galerkin Method ◽

Constrained Optimal Control ◽

Harmonic Equation ◽

Constrained Optimal Control Problem

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On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.12.020 ◽

2022 ◽

Vol 107 ◽

pp. 104-116

Author(s):

Shengyue Li ◽

Wanrong Cao ◽

Yibo Wang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation

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Stochastic Galerkin Method for Optimal Control Problem Governed by Random Elliptic PDE with State Constraints

Journal of Scientific Computing ◽

10.1007/s10915-018-0823-6 ◽

2018 ◽

Vol 78 (3) ◽

pp. 1571-1600

Author(s):

Wanfang Shen ◽

Liang Ge ◽

Wenbin Liu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Galerkin Method ◽

State Constraints ◽

Elliptic Pde ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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Non-linear constrained optimal control problem: A hybrid PSO-GA-Based discrete augmented lagrangian approach

2011 Annual Meeting of the North American Fuzzy Information Processing Society ◽

10.1109/nafips.2011.5751926 ◽

2011 ◽

Author(s):

Amar Khoukhi ◽

Fouad M. Al-Sunni ◽

Haris M. Khalid ◽

S. Z. Rizvi

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Augmented Lagrangian ◽

Lagrangian Approach ◽

Constrained Optimal Control ◽

Augmented Lagrangian Approach ◽

Constrained Optimal Control Problem

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C0 interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.10.015 ◽

2019 ◽

Vol 350 ◽

pp. 212-232 ◽

Author(s):

Susanne C. Brenner ◽

Li-yeng Sung ◽

Yi Zhang

Keyword(s):

Boundary Condition ◽

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Penalty Methods ◽

Constrained Optimal Control ◽

Interior Penalty Methods ◽

Constrained Optimal Control Problem

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A Local Search Scheme for the Inequality-Constrained Optimal Control Problem

Mathematical Optimization Theory and Operations Research - Lecture Notes in Computer Science ◽

10.1007/978-3-030-77876-7_2 ◽

2021 ◽

pp. 17-31

Author(s):

A. S. Strekalovsky

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Local Search ◽

Control Problem ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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A Sparse Grid Stochastic Collocation and Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Elliptic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1703-m2016-0692 ◽

2018 ◽

Vol 36 (2) ◽

pp. 310-330 ◽

Author(s):

Liang Ge and Tongjun Sun

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Elliptic Equations ◽

Volume Element ◽

Stochastic Collocation ◽

Finite Volume Element Method ◽

Constrained Optimal Control ◽

Finite Volume Element ◽

Constrained Optimal Control Problem

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Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation

Numerical Algorithms ◽

10.1007/s11075-017-0445-3 ◽

2017 ◽

Vol 79 (2) ◽

pp. 437-455 ◽

Author(s):

Zhaojie Zhou ◽

Chenyang Zhang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Stepping ◽

Time Fractional Diffusion Equation

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On the convergence profile of a discretized scheme for a two-dimensional constrained optimal control problem

Journal of the Nigerian Association of Mathematical Physics ◽

10.4314/jonamp.v10i1.40172 ◽

2008 ◽

Vol 10 (1) ◽

Author(s):

O Olotu ◽

SA Olorunsola

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Two Dimensional ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1417591 ◽

2018 ◽

Vol 95 (6-7) ◽

pp. 1308-1325 ◽

Author(s):

Shengyue Li ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Spectral Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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