Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini
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Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini
Slim Chaabane, Mohamed Jaoua (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This work deals with a non linear inverse problem of reconstructing an unknown boundary γ, the boundary conditions prescribed on γ being of Signorini type, by using boundary measurements. The problem is turned into an optimal shape design one, by constructing a Kohn & Vogelius-like cost function, the only minimum of which is proved to be the unknown boundary. Furthermore, we prove that the derivative of this cost function with respect to a direction θ depends only on the state u0, and not...
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