Lipschitz Stability for Polyhedral Elastic Inclusions from Partial Data
Analysis of PDEs
2025-08-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2508.06241,
title = {Lipschitz Stability for Polyhedral Elastic Inclusions from Partial Data},
author = {Andrea Aspri and Elena Beretta and Elisa Francini and Antonino Morassi and Edi Rosset and Eva Sincich and Sergio Vessella},
journal= {arXiv preprint arXiv:2508.06241},
year = {2025}
}