Abstract

A transient two-dimensional inverse-heat-conduction problem is investigated. It consists in the determination of both temperature and heat-flux density in the vicinity of an angle (≤ 180°) when some internal temperatures are known. Such a problem is solved by using a boundary-element approach with a time- and space-dependent fundamental solution. It uses a time-marching scheme that involves future time steps and a regularization procedure. An exhaustive study of sensitivity to the leading parameters of the problem is produced, and it is especially pointed out that the accuracy of the resolution is strongly affected as the corner angle decreases. In order to overcome this difficulty, a localized regularization procedure is suggested.

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