The reconstruction of the space-dependent thermal conductivity coefficient

DOI10.1007/s11075-023-01724-5MaRDI QIDQ6618229

Amin Boumenir

Publication date: 14 October 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

inverse problemparabolic equationthermal conductivity

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical analysis (65-XX)

Cites Work

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• Recovery of the heat coefficient by two measurements
• Reconstruction of time-dependent coefficients from heat moments
• One point recovery of a parabolic equation
• A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem
• Recovery of the heat equation from a single boundary measurement
• Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method
• A uniqueness result for the recovery of a coefficient of the heat conduction equation
• An introduction to the mathematical theory of inverse problems

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