Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient

DOI10.1002/oca.984zbMath1258.49066OpenAlexW2055779260MaRDI QIDQ4908883

Debora Clever, Jens Lang

Publication date: 7 March 2013

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

Full work available at URL: https://doi.org/10.1002/oca.984

zbMATH Keywords

optimal controlRosenbrock methodsprojected gradient methodArmijo line searchadaptive finite elementstime-dependent weightsfinal state trackingradiative heat transfer in glassstate gradient

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25)

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Uses Software

• ROS3P
• dsoa
• KELLEY
• KARDOS

Cites Work

• Finite element approximation of elliptic control problems with constraints on the gradient
• Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Adaptive computation for boundary control of radiative heat transfer in glass
• Concepts of an adaptive hierarchical finite element code
• Optimal boundary control of glass cooling processes
• Augmented Lagrangian–SQP Methods for Nonlinear Optimal Control Problems of Tracking Type
• ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems
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