On one approach to the numerical solution of a coefficient inverse problem

DOI10.1134/S1064562421040025OpenAlexW3213517968MaRDI QIDQ2246883

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

Publication date: 16 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421040025

zbMATH Keywords

optimal controlheat equationnonlinear problemsfast automatic differentiationcoefficient inverse problemsnumerical optimization methods

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Thermodynamics and heat transfer (80Axx)

Cites Work

• Identification of thermal conductivity coefficient using a given temperature field
• Choice of finite-difference schemes in solving coefficient inverse problems
• Definitions and examples of inverse and ill-posed problems

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