Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements

Authors:
T. T. M. Onyango;D. B. Ingham;D. Lesnic;M. Slodička
Affiliations:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;Centre for Computational Fluid Dynamics, University of Leeds, Leeds LS2 9JT, UK;Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, B-9000 Ghent, Belgium
Venue:
Mathematics and Computers in Simulation
Year:
2009

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Abstract

In this paper the determination of the time-dependent heat transfer coefficient in one-dimensional transient heat conduction from a non-standard boundary measurement is investigated. For this inverse nonlinear ill-posed problem the uniqueness of the solution holds. Numerical results obtained using the boundary element method are presented and discussed.