A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems

DOI10.1080/00207160.2020.1723563zbMath1480.65291OpenAlexW3003784298MaRDI QIDQ5031232

Fereshteh Samadi, Aghileh Heydari, Sohrab Effati

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1723563

zbMATH Keywords

optimal controlChebyshev polynomialsconvection-diffusion equationbilinear pseudo-spectral methodcoupled Sylvester system

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (4)

Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations ⋮ Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems ⋮ A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems ⋮ \textit{A posteriori} error estimates of characteristic mixed finite elements for convection-diffusion control problems

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