International Journal of Applied Mathematics and Computer Science (Sep 2016)

Heating source localization in a reduced time

  • Beddiaf Sara,
  • Autrique Laurent,
  • Perez Laetitia,
  • Jolly Jean-Claude

DOI
https://doi.org/10.1515/amcs-2016-0043
Journal volume & issue
Vol. 26, no. 3
pp. 623 – 640

Abstract

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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.

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