Abstract
AbstractIn this paper we deal with the inverse problem of determining cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement’s measurements. For, we consider a constrained minimization problem involving a boundary quadratic misfit functional with a regularization term that penalizes the perimeter of the cavity or inclusion to be identified. Then using a phase field approach we derive a robust algorithm for the reconstruction of elastic inclusions and of cavities modelled as inclusions with a very small elasticity tensor.
Funder
Ministero dell’Istruzione, dell’Universitá e della Ricerca
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
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