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Determination of point-forces via extended boundary measurements using a game strategy approach

Abstract : In this work, we consider a game theory approach to deal with an inverse problem related to the Stokes system. The problem consists in detecting the unknown point-forces acting on the fluid from incomplete measurements on the boundary of a domain. The approach that we propose deals simultaneously with the reconstruction of the missing data and the determination of the unknown point-forces. The solution is interpreted in terms of Nash equilibrium between both problems. We develop a new point-force detection algorithm, and we present numerical results to illustrate the efficiency and robustness of the method.
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https://hal.archives-ouvertes.fr/hal-02931888
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Submitted on : Monday, September 7, 2020 - 12:23:36 PM
Last modification on : Wednesday, January 12, 2022 - 12:15:40 PM
Long-term archiving on: : Wednesday, December 2, 2020 - 9:43:31 PM

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  • HAL Id : hal-02931888, version 1

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Marwa Ouni, Abderrahmane Habbal, Moez Kallel. Determination of point-forces via extended boundary measurements using a game strategy approach. CARI 2020 - Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées, Oct 2020, Thiès, Senegal. ⟨hal-02931888⟩

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