Marwa Ouni ; Abderrahmane Habbal ; Moez Kallel - A Nash-game approach to joint data completion and location of small inclusions in Stokes flow

arima:6761 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, June 29, 2021, Volume 34 - 2020 - Special Issue CARI 2020 - https://doi.org/10.46298/arima.6761
A Nash-game approach to joint data completion and location of small inclusions in Stokes flow

Authors: Marwa Ouni ; Abderrahmane Habbal ; Moez Kallel

    We consider the coupled inverse problem of data completion and the determination of the best locations of an unknown number of small objects immersed in a stationary viscous fluid. We carefully introduce a novel method to solve this problem based on a game theory approach. A new algorithm is provided to recovering the missing data and the number of these objects and their approximate location simultaneously. The detection problem is formulated as a topological one. We present two test-cases that illustrate the efficiency of our original strategy to deal with the ill-posed problem.


    Volume: Volume 34 - 2020 - Special Issue CARI 2020
    Published on: June 29, 2021
    Accepted on: June 6, 2021
    Submitted on: September 7, 2020
    Keywords: Data completion,Geometric inverse problem,Topological sensitivity,Calculus of variations,Nash games,Complétion des données,Jeux de Nash,Sensibilité topologique,Calculs des variations,Calcul des variations,Problème inverse géométrique,[MATH]Mathematics [math]

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