Inverse coefficient problems and fast automatic differentiation

DOI10.1515/JIIP-2021-0075zbMath1490.80002OpenAlexW4221006314MaRDI QIDQ2671514

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

Publication date: 3 June 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2021-0075

zbMATH Keywords

optimal controlnonlinear problemsthree-dimensional heat equationfast automatic differentiationinverse coefficient problems

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Optimization problems in thermodynamics and heat transfer (80M50) Existence theories for optimal control problems involving partial differential equations (49J20) 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 (2)

On simultaneous determination of thermal conductivity and volume heat capacity of substance ⋮ About one inverse coefficient problem

Cites Work

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• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Computation of exact gradients in distributed dynamic systems
• Application of Second-Order Optimization Methods to Solving the Inverse Coefficient Problems

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