On the efficiency of solving optimal control problems by means of fast automatic differentiation technique

DOI10.1134/S0081543816090017zbMath1366.65064OpenAlexW2580309408MaRDI QIDQ2396364

V. I. Zubov, Alla F. Albu

Publication date: 8 June 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816090017

zbMATH Keywords

optimal controlfinite difference methodStefan problemgradientadjoint problemfast automatic differentiation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stefan problems, phase changes, etc. (80A22) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (6)

Identification of the thermal conductivity coefficient using a given surface heat flux ⋮ On simultaneous determination of thermal conductivity and volume heat capacity of substance ⋮ On the simultaneous identification of the volumetric heat capacity and the thermal conductivity of a substance ⋮ 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

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• An Enthalpty Formulation of the Stefan Problem
• Computation of exact gradients in distributed dynamic systems
• Optimal control of the process of melting

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