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Heating source localization in a reduced time

Beddiaf S., Autrique L., Perez L., Jolly J. C.

International Journal of Applied Mathematics and Computer Science

2016

Vol. 26, no. 3

623--640

Inverse three-dimensional heat conduction problems devoted to heating source localization are ill posed. Identification can be performed using an iterative regularization method based on the conjugate gradient algorithm. Such a method is usually implemented off-line, taking into account observations (temperature measurements, for example). However, in a practical context, if the source has to be located as fast as possible (e.g., for diagnosis), the observation horizon has to be reduced. To this end, several configurations are detailed and effects of noisy observations are investigated.