In this paper, an analysis of the conditioning of methods solving the inverse heat conduction problem is shown. A method is developed that connects the stability of the inverse solution, measured by the condition number, to the physical properties of the problem. The approach is based on norm and eigenvalue analysis of the matrix representation of the discretized inverse heat conduction problem. This formula can be applied to methods that are based on the utilization of the heat kernel. It can be used in order to determine the optimal setup for surface heat flux measurements.
Theoretical Stability Analysis for Inverse Heat Conduction Problems Using the Condition Number
Journal of Thermophysics and Heat Transfer ; 29 , 3 ; 473-481
2015-04-09
9 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch