Optimal control of two-dimensional parabolic partial differential equations with application to steel billets cooling in continuous casting secondary cooling zone

DOI10.1002/oca.2236zbMath1353.49039OpenAlexW2260149913MaRDI QIDQ2835509

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Publication date: 5 December 2016

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2236

zbMATH Keywords

optimal controlparabolic partial differential equationsconjugate gradient algorithmdistributed controlLipschitz continuitysteel billets cooling

Mathematics Subject Classification ID

Newton-type methods (49M15) Applications of optimal control and differential games (49N90) Initial value problems for second-order parabolic equations (35K15) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items (3)

New DY-HS hybrid conjugate gradient algorithm for solving optimization problem of unsteady partial differential equations with convection term ⋮ Estimation of the boundary condition of a 3D heat transfer equation using a modified hybrid conjugate gradient algorithm ⋮ Optimal control of three-dimensional unsteady partial differential equations with convection term in continuous casting

Cites Work

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• Simultaneous reconstruction of the source term and the surface heat transfer coefficient
• Some error estimates of finite volume element method for parabolic optimal control problems

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