CHAMEKH, Rabeb; HABBAL, Abderrahmane; KALLEL, Moez; ZEMZEMI, Nejib

doi:10.1051/mmnp/2018059

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Licence d’utilisation du document

CHAMEKH, Rabeb
Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]

HABBAL, Abderrahmane
Laboratoire Jean Alexandre Dieudonné [LJAD]
Analysis and Control of Unsteady Models for Engineering Sciences [ACUMES]

KALLEL, Moez
Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]

Langue

Article de revue

Ce document a été publié dans

Mathematical Modelling of Natural Phenomena. 2019, vol. 14, n° 2, p. 15

EDP Sciences

Résumé en anglais

We consider the identification problem of the conductivity coefficient for an elliptic operator using an incomplete over specified measures on the surface. Our purpose is to introduce an original method based on a game theory approach, and design a new algorithm for the simultaneous identification of conductivity coefficient and data completion process. We define three players with three corresponding criteria. The two first players use Dirichlet and Neumann strategies to solve the completion problem, while the third one uses the conductivity coefficient as strategy, and uses a cost which basically relies on an identifiability theorem. In our work, the numerical experiments seek the development of this algorithm for the electrocardiography imaging inverse problem, dealing with in-homogeneities in the torso domain. Furthermore, in our approach, the conductivity coefficients are known only by an approximate values. we conduct numerical experiments on a 2D torso case including noisy measurements. Results illustrate the ability of our computational approach to tackle the difficult problem of joint identification and data completion. Mathematics Subject Classification. 35J25, 35N05, 91A80. The dates will be set by the publisher.< Réduire

Mots clés en anglais

Nash algorithm

Data completion

Conductivity identification

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192946

DOI

http://dx.doi.org/10.1051/mmnp/2018059

Project ANR

L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251