H Meftahi ; T Rezgui
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Quantitative stability estimate for the inverse coefficients problem in linear elasticity
arima:9346 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
January 10, 2024,
Volume 39 - 2023
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https://doi.org/10.46298/arima.9346
Quantitative stability estimate for the inverse coefficients problem in linear elasticityArticle
In this article we consider the inverse problem of reconstructing piece-wise Lamé coefficients from boundary measurements. We reformulate the inverse problem into a minimization one using a Kohn-Vogelius type functional. We study the stability of the parameters when the jump of the discontinuity is perturbed. Using tools of shape calculus, we give a quantitative stability result for local optimal solution.