On the uniqueness of identification the thermal conductivity and heat capacity of substance

DOI10.1007/978-3-031-35305-5_5OpenAlexW4381956212MaRDI QIDQ6134047

V. I. Zubov

Publication date: 21 August 2023

Published in: Mathematical Optimization Theory and Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-35305-5_5

zbMATH Keywords

heat equationgradientthermal conductivityinverse coefficient problems

Mathematics Subject Classification ID

Classical thermodynamics, heat transfer (80-XX)

Cites Work

• Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation
• Generalized fast automatic differentiation technique
• Application of the fast automatic differentiation technique for solving inverse coefficient problems
• Determination of the thermal conductivity from the heat flux on the surface of a three-dimensional body
• Identification of the thermal conductivity coefficient in the three-dimensional case by solving a corresponding optimization problem
• Simultaneous estimation of temperature-dependent thermal conductivity and heat capacity based on modified genetic algorithm
• Fast Reverse-Mode Automatic Differentiation using Expression Templates in C++
• On the simultaneous identification of the volumetric heat capacity and the thermal conductivity of a substance

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