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Section: New Results

Game strategies for joint data completion and parameter identification

Participants : Abderrahmane Habbal, Rabeb Chamekh [PhD, LAMSIN, Univ. Tunis Al Manar] , Moez Kallel [LAMSIN, Univ. Tunis Al Manar] , Nejib Zemzemi [Inria Bordeaux, EPI CARMEN] .

We have demonstrated in previous works  [22] , [23] that Nash game approaches are efficient to tackle ill-posedness for linear second order elliptic Cauchy problems. We next developed a mathematical formulation for the linear elasticity model. The reconstruction is based on data completion and material identification, making it a harsh ill posed inverse problem. Up to now, we have obtained successful results for the Lamé parameter recovery in linear elasticity, using the so-called Kohn and Vogelius functional. Simultaneous data completion and parameter identification is under investigation.