Investigation of the optimal control problem for metal solidification in a new formulation

DOI10.1134/S0965542514050042zbMath1313.80002OpenAlexW2031836935MaRDI QIDQ2940475

V. I. Zubov, Alla F. Albu

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514050042

zbMATH Keywords

optimal controlStefan problemmetal solidificationheat transfer equationfast automatic differentiation techniquegradient optimization methods

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Optimization problems in thermodynamics and heat transfer (80M50)

Related Items (4)

Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal ⋮ On the efficiency of solving optimal control problems by means of fast automatic differentiation technique ⋮ Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation ⋮ Generalized fast automatic differentiation technique

Cites Work

• Control of substance solidification in a complex-geometry mold
• On the influence of setup parameters on the control of solidification in metal casting
• Functional gradient evaluation in the optimal control of a complex dynamical system
• Determination of functional gradient in an optimal control problem related to metal solidification
• Choosing a cost functional and a difference scheme in the optimal control of metal solidification
• Optimal control of the solidification process in metal casting
• Computation of exact gradients in distributed dynamic systems
• Mathematical modeling and study of the process of solidification in metal casting

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