<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Heating source localization in a reduced time

LARIS-ISTIA, University of Angers, 62 avenue Notre Dame du Lac, 49000 Angers,

LTN-UMR, 6607 University of Nantes, rue Christian Pauc, BP50609, 44306 Nantes cedex 3,

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Heating source localization in a reduced time"}

Inverse three-dimensional heat conduction problems devoted to heating source localization are ill posed. Identification can be performed using an iterative...

Heating source localization in a reduced time

Publié en ligne: 29 sept. 2016

Pages: 623 - 640

Reçu: 11 févr. 2015

Accepté: 18 avr. 2016

DOI: https://doi.org/10.1515/amcs-2016-0043

Mots clés
parameter identification, inverse heat conduction problem, optimal observation, source localization

© 2016 Sara Beddiaf et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Heating source localization in a reduced time

Publié en ligne: 29 sept. 2016

Pages: 623 - 640

Reçu: 11 févr. 2015

Accepté: 18 avr. 2016

DOI: https://doi.org/10.1515/amcs-2016-0043

Mots clésparameter identification, inverse heat conduction problem, optimal observation, source localization

© 2016 Sara Beddiaf et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
parameter identification, inverse heat conduction problem, optimal observation, source localization