Abstract
In the inverse heat conduction problem (IHCP) of finding the temperature-dependent thermophysical properties of materials, the evaluation of the confidence region of the unknown functions is at least as important as the numeric values of the function itself. The uncertainty of the reconstructed properties arises from various disturbances affecting the measurement instrumentation and from an imprecise mathematical description of the experiment. The aim of this work is to consider, besides the effect of random noises superposed onto the signals, the bias arising from the calibration of the sensors. By conceiving the calibration process as an integral part of the experiment it is possible to quantify the effect of the above bias and to obtain better estimates and correct confidence regions for the reconstructed properties.
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