The study demonstrates lipschitz stability in polyhedral inclusions using boundary measurements, suggesting practical implications for material integrity assessment.
The paper deals with the inverse problem of determining a polyhedral inclusion compactly contained in an elastic body from boundary measurements of traction and displacement taken on an open portion of the boundary. Both the inclusion and the body are made of homogeneous isotropic material. Under suitable assumptions on the geometry of the unknown inclusion, we prove a constructive Lipschitz stability estimate from the local Dirichlet-to-Neumann map.
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Aspri et al. (2025) studied this question.
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