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Abstract

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.

DOI: https://doi.org/10.1515/amcs-2016-0043 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 623 - 640
Submitted on: Feb 11, 2015
Accepted on: Apr 18, 2016
Published on: Sep 29, 2016
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2016 Sara Beddiaf, Laurent Autrique, Laetitia Perez, Jean-Claude Jolly, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.