A simple inverse heat conduction method with optimization

A simple numerical method for one-dimensional nonlinear inverse heat conduction problem solving based on finite difference principle is presented. Time-step size is variable and chosen in such a way ensuring optimal results. Numerical stability analysis is derived and stochastic error contributions...

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Bibliographic Details
Published inInternational journal of heat and mass transfer Vol. 36; no. 17; pp. 4215 - 4220
Main Authors Vogel, J., Sára, L., Krejčí, L.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.11.1993
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Geometrical shape
Inverse problems
Boundary conditions
Surface temperature
Optimization
Numerical stability
Thermal conduction
Finite difference method
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Summary:A simple numerical method for one-dimensional nonlinear inverse heat conduction problem solving based on finite difference principle is presented. Time-step size is variable and chosen in such a way ensuring optimal results. Numerical stability analysis is derived and stochastic error contributions to the solution quality and inversely computed distance influence are demonstrated. Simulated experiments using inexact data illustrate usability of the method.
ISSN:0017-9310
1879-2189
DOI:10.1016/0017-9310(93)90084-J