Application of the fast automatic differentiation technique for solving inverse coefficient problems

DOI10.1134/S0965542520010042zbMath1455.80007OpenAlexW3012955199MaRDI QIDQ2206404

V. I. Zubov, Alla F. Albu, Yuri G. Evtushenko

Publication date: 22 October 2020

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

Full work available at URL: https://doi.org/10.1134/s0965542520010042

zbMATH Keywords

heat equationvariational problemfast automatic differentiationinverse coefficient problemthermal conductivity coefficient

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Heat equation (35K05) Optimization problems in thermodynamics and heat transfer (80M50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Variational principles of physics (49S05) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (6)

Inverse coefficient problems and fast automatic differentiation ⋮ About difference schemes for solving inverse coefficient problems ⋮ On the uniqueness of identification the thermal conductivity and heat capacity of substance ⋮ Choice of finite-difference schemes in solving coefficient inverse 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

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