Determination of the thermal conductivity and volumetric heat capacity of substance from heat flux

DOI10.1134/S0965542524700039MaRDI QIDQ6552617

V. I. Zubov, A. Yu. Gorchakov

Publication date: 10 June 2024

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

zbMATH Keywords

heat equationgradientheat flowthermal conductivitycoefficient inverse problems

Mathematics Subject Classification ID

Partial differential equations (35-XX) Classical thermodynamics, heat transfer (80-XX)

Cites Work

• Generalized fast automatic differentiation technique
• Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation
• Non-iterative estimation of temperature-dependent thermal conductivity without internal measurements
• Numerical optimization of solutions to Burgers problem by means of boundary conditions
• On the effectiveness of the fast automatic differentiation methodology
• On the efficiency of solving optimal control problems by means of fast automatic differentiation technique
• Inverse coefficient problems and fast automatic differentiation
• The Tapenade automatic differentiation tool
• 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 simultaneous determination of thermal conductivity and volume heat capacity of substance

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