Identification of an \(N\)-valued heterogeneous conductivity profile in an inverse heat conduction problem

DOI10.1002/nme.7578MaRDI QIDQ6648577

Sergio Rodolfo Idelsohn, Angel A. Ciarbonetti, Gisela L. Mazzieri, Ruben D. Spies

Publication date: 4 December 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

regularizationinverse problemselliptic boundary-value problemheat-conductionTikhonov-Phillipsthermal materials design

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30)

Cites Work

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• Multi-parameter regularization and its numerical realization
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• An identification problem for an elliptic equation in two variables
• Estimation of the temperature-dependent thermal conductivity in inverse heat conduction problems
• Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters
• Efficient determination of multiple regularization parameters in a generalized L-curve framework
• An Inverse Problem for the Steady State Diffusion Equation
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Discrete Inverse Problems
• Identification of the heterogeneous conductivity in an inverse heat conduction problem

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