Adaptive computation for boundary control of radiative heat transfer in glass

DOI10.1016/J.CAM.2004.12.035zbMath1100.65073OpenAlexW2038625844MaRDI QIDQ2566752

Jens Lang

Publication date: 28 September 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.12.035

zbMATH Keywords

optimal controlglass cooling

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (10)

Control of the radiative heating of a glass plate ⋮ Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers ⋮ Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems ⋮ Optimization and Inverse Problems in Radiative Heat Transfer ⋮ Radiative heating of a glass plate: the semi-discrete problem (second revision) ⋮ Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient ⋮ Heat transfer -- a review of 2005 literature ⋮ Worst-case analysis of distributed parameter systems with application to the 2D reaction-diffusion equation ⋮ Radiative heating of a glass plate ⋮ Wavelets approach for optimal boundary control of cellular uptake in tissue engineering

Uses Software

• KARDOS
• Unnamed Item

Cites Work

• Half-moment closure for radiative transfer equations
• A PI stepsize control for the numerical solution of ordinary differential equations
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Newton's method for optimal temperature-tracking of glass cooling processes
• Perspectives in Flow Control and Optimization
• 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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