Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation

DOI10.1134/S0965542514120057zbMath1323.49016OpenAlexW1997051026MaRDI QIDQ889207

V. I. Zubov, Alla F. Albu

Publication date: 6 November 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542514120057

zbMATH Keywords

optimal controlheat equationStefan problemmetal solidificationfast automatic differentiation

Mathematics Subject Classification ID

Newton-type methods (49M15) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (11)

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 ⋮ Identification of the thermal conductivity coefficient using a given surface heat flux ⋮ On simultaneous determination of thermal conductivity and volume heat capacity of substance ⋮ About difference schemes for solving inverse coefficient problems ⋮ On the simultaneous identification of the volumetric heat capacity and the thermal conductivity of a substance ⋮ Application of the fast automatic differentiation technique for solving inverse coefficient problems ⋮ Choice of finite-difference schemes in solving coefficient inverse problems ⋮ Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation ⋮ Generalized fast automatic differentiation technique ⋮ Identification of thermal conductivity coefficient using a given temperature field

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