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Journal Articles Inverse Problems Year : 2023

A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem

Abstract

We consider the inverse geometrical problem of identifying the discontinuity curve of an electrical conductivity from boundary measurements. This standard inverse problem is used as a model to introduce and study a combined inversion algorithm coupling a gradient descent on the Kohn-Vogelius cost functional with a domain decomposition method that includes the unknown curve in the domain partitioning. We prove the local convergence of the method in a simplified case and numerically show its efficiency for some two dimensional experiments.
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Dates and versions

hal-03940961 , version 1 (16-01-2023)
hal-03940961 , version 2 (27-09-2023)

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Slim Chaabane, Houssem Haddar, Rahma Jerbi. A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem. Inverse Problems, 2023, 39 (9), pp.095001. ⟨10.1088/1361-6420/ace64a⟩. ⟨hal-03940961v2⟩
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