Heating source localization in a reduced time

Sara Beddiaf; Laurent Autrique; Laetitia Perez; Jean-Claude Jolly

International Journal of Applied Mathematics and Computer Science (2016)

  • Volume: 26, Issue: 3, page 623-640
  • ISSN: 1641-876X

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.

How to cite

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Sara Beddiaf, et al. "Heating source localization in a reduced time." International Journal of Applied Mathematics and Computer Science 26.3 (2016): 623-640. <http://eudml.org/doc/286732>.

@article{SaraBeddiaf2016,
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.},
author = {Sara Beddiaf, Laurent Autrique, Laetitia Perez, Jean-Claude Jolly},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {parameter identification; inverse heat conduction problem; optimal observation; source localization; inverse heat conduction; conjugate gradient method},
language = {eng},
number = {3},
pages = {623-640},
title = {Heating source localization in a reduced time},
url = {http://eudml.org/doc/286732},
volume = {26},
year = {2016},
}

TY - JOUR
AU - Sara Beddiaf
AU - Laurent Autrique
AU - Laetitia Perez
AU - Jean-Claude Jolly
TI - Heating source localization in a reduced time
JO - International Journal of Applied Mathematics and Computer Science
PY - 2016
VL - 26
IS - 3
SP - 623
EP - 640
AB - 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.
LA - eng
KW - parameter identification; inverse heat conduction problem; optimal observation; source localization; inverse heat conduction; conjugate gradient method
UR - http://eudml.org/doc/286732
ER -

References

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