Optimal Control of Glass Cooling Using SimplifiedPNTheory

DOI10.1080/00411450.2010.533740zbMath1213.82074OpenAlexW1975711177MaRDI QIDQ3086397

Martin Frank, René Pinnau, Axel Klar

Publication date: 30 March 2011

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2010.533740

zbMATH Keywords

optimal controlradiative transfer\(P_N\) theoryglass codingPlanck's function

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Numerical solutions to equations with nonlinear operators (65J15) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

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• Runge-Kutta methods in optimal control and the transformed adjoint system
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• Optimal boundary control of glass cooling processes