Solving an inverse heat conduction problem with phase transitions using Tikhonov regularization
Open Access
- 9 May 2026
- journal article
- research article
- Published by Taylor & Francis in Research in Mathematics
- Vol. 13 (1)
Abstract
1. In many industrial applications, one wishes to determine the temperature on the surface of a body in situations where the surface itself is inaccessible to direct measurements (Beck et al., 1985...Keywords
Funding Information
- Sida bilateral Program
This publication has 45 references indexed in Scilit:
- Convergence Analysis of Iterative Tikhonov Regularization Applied to an Inverse Heat Conduction ProblemInternational Journal of Applied and Computational Mathematics, 2025
- A scaling fractional asymptotical regularization method for linear inverse problemsAdvances in Computational Mathematics, 2025
- A novel iterative integration regularization method for ill-posed inverse problemsEngineering with Computers, 2020
- Recent developments in thermo-physical property enhancement and applications of solid solid phase change materialsJournal of Thermal Analysis and Calorimetry, 2019
- Evolution of Microstructure and Carbon Distribution During Heat Treatments of a Dual-Phase Steel: Modeling and Atom-Probe Tomography ExperimentsMetallurgical and Materials Transactions A, 2018
- Estimation of the Transient Surface Temperature, Heat Flux and Effective Heat Transfer Coefficient of a Slab in an Industrial Reheating Furnace by using an Inverse MethodSteel Research International, 2007
- Effect of subsurface thermocouple installation on the discrepancy of the measured thermal history and predicted surface heat flux during a quench operationMetallurgical and Materials Transactions B, 2005
- Regularization of Inverse Problems1996
- Evolutionary Integral Equations and Applications1993
- A general theory of heat conduction with finite wave speedsArchive for Rational Mechanics and Analysis, 1968