Initial temperature reconstruction for nonlinear heat equation: application to a coupled radiative–conductive heat transfer problem

DOI10.1080/17415970701200591zbMath1159.80003OpenAlexW2108111723MaRDI QIDQ3523672

Norbert Siedow, S. S. Pereverzyev, René Pinnau

Publication date: 5 September 2008

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970701200591

zbMATH Keywords

inverse problemregularizationradiative-conductive heat transferderivative-free iterative methodinitial temperature reconstruction

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (9)

Numerical identification of initial temperatures in heat equation with dynamic boundary conditions ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem ⋮ Radiative Heat Transfer and Applications for Glass Production Processes II ⋮ Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem ⋮ Optimal control in radiative transfer ⋮ Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension ⋮ Simultaneous recovery of the temperature and species concentration from integral equation model ⋮ Comparison of global and sequential methods for an inverse heat transfer problem ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method

Cites Work

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• An inverse method for estimation of the initial temperature profile and its evolution in polymer processing
• Regularized fixed-point iterations for nonlinear inverse problems
• Morozov's discrepancy principle for tikhonov
• NUMERICAL METHODS AND OPTIMAL CONTROL FOR GLASS COOLING PROCESSES
• Existence and Uniqueness of a Steady State Solution of a Coupled Radiative–Conductive Heat Transfer Problem for a Non-grey Anisotropically and Participating Medium
• Optimal boundary control of glass cooling processes
• Use of the regularization method in non-linear problems

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