The functional identification approach for numerical reconstruction of the temperature-dependent thermal-conductivity coefficient

DOI10.1016/J.IJHEATMASSTRANSFER.2008.01.043zbMath1156.80399OpenAlexW2061388573MaRDI QIDQ1007954

V. A. Tsurko, G. M. Zayats, V. T. Borukhov

Publication date: 24 March 2009

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2008.01.043

zbMATH Keywords

inverse problemnumerical simulationfunctional identificationnonlinear heat-conduction equationthermal-conductivity coefficient

Mathematics Subject Classification ID

Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (1)

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Cites Work

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• An inverse problem for a semilinear parabolic equation
• Function estimation with Alifanov's iterative regularization method in linear and nonlinear heat conduction problems
• Carleman estimates for coefficient inverse problems and numerical applications.
• Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
• Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate

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