A Spectral Method for Optimal Control Problems Governed by the Time Fractional Diffusion Equation with Control Constraints

DOI10.1007/978-3-319-01601-6_33zbMath1282.65076OpenAlexW93182502MaRDI QIDQ5745804

Xingyang Ye, Chuanju Xu

Publication date: 31 January 2014

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01601-6_33

zbMATH Keywords

convergencenumerical experimentsa priori error estimatestime fractional diffusion equationGalerkin spectral methodfractional optimal control problemprojection gradient algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (6)

A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints ⋮ A space-time spectral method for the time fractional diffusion optimal control problems ⋮ A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions ⋮ \textit{A posteriori} error estimates for the fractional optimal control problems ⋮ A new solution for optimal control of fractional convection-reaction-diffusion equation using rational barycentric interpolation ⋮ A Space-Time Fractional Optimal Control Problem: Analysis and Discretization

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