Data completion via an energy error functional

Stephane Andrieux; Amel Ben Abda; Thouraya Nouri Baranger

doi:10.1016/j.crme.2004.10.005

Data completion via an energy error functional

Presented by: Huy Duong Bui

Stephane Andrieux ¹; Amel Ben Abda ²; Thouraya Nouri Baranger ³

¹ LaMSID, UMR CNRS-EDF 2832, 1, avenue du Général de Gaulle, 92141 Clamart, France
² LAMSIN-ENIT, Tunisia
³ Centre de mécanique, université Claude Bernard, Lyon 1, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 171-177.

Abstract
Résumé

We propose, in this Note, a new procedure for data completion based on the minimization of an energy like error functional. The efficiency of the proposed method is illustrated by a thermostatic application.

Nous proposons, dans ce travail, une nouvelle méthode de reconstruction de données basée sur la minimisation d'une fonctionnelle type écart en énergie. L'éfficacité de la méthode est illustrée par une application issue de la thermostatique.

Received: 2004-09-15
Accepted: 2004-09-21
Published online: 2005-01-07

DOI: 10.1016/j.crme.2004.10.005

Keywords: Heat transfer, Data completion, Inverse problem, Cauchy problem
Mots-clés : Transferts thermiques, Complétion de données, Problème inverse, Problème de Cauchy

Author's affiliations:

Stephane Andrieux ¹; Amel Ben Abda ²; Thouraya Nouri Baranger ³

¹ LaMSID, UMR CNRS-EDF 2832, 1, avenue du Général de Gaulle, 92141 Clamart, France
² LAMSIN-ENIT, Tunisia
³ Centre de mécanique, université Claude Bernard, Lyon 1, France

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     author = {Stephane Andrieux and Amel Ben Abda and Thouraya Nouri Baranger},
     title = {Data completion via an energy error functional},
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Stephane Andrieux; Amel Ben Abda; Thouraya Nouri Baranger. Data completion via an energy error functional. Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 171-177. doi : 10.1016/j.crme.2004.10.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.10.005/

References
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[4] M. Azaiez, A. Ben Abda, J. Ben Abdallah, Revisiting the Dirichlet-to-Neumann solver for data completion and application to some inverse problems, submitted for publication

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[7] S. Andrieux, T. Nouri-Baranger, A. Ben Abda, On recovering lacking data via the energy-error functional: the elastostatic case, in preparation

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