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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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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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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Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.07.021 ◽

2021 ◽

Author(s):

Fangyuan Wang ◽

Xiangcheng Zheng ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Error Estimate ◽

Control Problem ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Diffusivity Coefficient ◽

Spectral Approximation ◽

Variable Diffusivity

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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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Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.01.018 ◽

2019 ◽

Vol 350 ◽

pp. 331-347

Author(s):

Shengyue Li ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Space Fractional Diffusion Equation

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Optimal control of fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.10.030 ◽

2011 ◽

Vol 61 (1) ◽

pp. 68-78 ◽

Author(s):

Gisèle. M. Mophou

Keyword(s):

Optimal Control ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation

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Finite element approximation of optimal control problems governed by time fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.11.014 ◽

2016 ◽

Vol 71 (1) ◽

pp. 301-318 ◽

Author(s):

Zhaojie Zhou ◽

Wei Gong

Keyword(s):

Optimal Control ◽

Finite Element ◽

Diffusion Equation ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Control Problems ◽

Element Approximation ◽

Time Fractional Diffusion Equation

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Optimal control of a fractional diffusion equation with state constraints

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.04.044 ◽

2011 ◽

Vol 62 (3) ◽

pp. 1413-1426 ◽

Author(s):

Gisèle M. Mophou ◽

Gaston M. N’Guérékata

Keyword(s):

Optimal Control ◽

Diffusion Equation ◽

State Constraints ◽

Fractional Diffusion ◽

Fractional Diffusion Equation

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Anhp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2011013 ◽

2011 ◽

Vol 45 (6) ◽

pp. 1081-1113 ◽

Author(s):

Gupta Nupur ◽

Nataraj Neela

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Surface Hardening ◽

Laser Surface ◽

Laser Surface Hardening

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Central local discontinuous Galerkin method for the space fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.02.002 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1274-1287 ◽

Author(s):

Jing Sun ◽

Daxin Nie ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin ◽

Space Fractional Diffusion Equation

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