Reconstruction of heat transfer coefficients using the boundary element method

Authors:
T. T. M. Onyango;D. B. Ingham;D. Lesnic
Affiliations:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Venue:
Computers & Mathematics with Applications
Year:
2008

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A Bayesian inference approach to identify a Robin coefficient in one-dimensional parabolic problems

Journal of Computational and Applied Mathematics

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Abstract

This paper describes the reconstruction of the heat transfer coefficient (space, Problem I, or time dependent, Problem II) in one-dimensional transient inverse heat conduction problems from surface temperature or average temperature measurements. Since the inverse problem posed does not involve internal temperature measurements, this means that non-destructive testing of materials can be performed. In the formulation, convective boundary conditions relate the boundary temperature to the heat flux. Numerical results obtained using the boundary element method are presented and discussed.