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Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements

ALESSANDRINI, GIOVANNI
•
Michele Di Cristo
•
Antonino Morassi
•
ROSSET, EDI
2014
  • journal article

Periodico
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Abstract
We consider the inverse problem of identifying an unknown inclusion contained in an elastic body by the Dirichlet-to-Neumann map. The body is made by linearly elastic, homogeneous, and isotropic material. The Lamé moduli of the inclusion are constant and different from those of the surrounding material. Under mild a priori regularity assumptions on the unknown defect, we establish a logarithmic stability estimate. Main tools are propagation of smallness arguments based on three-spheres inequality for solutions to the Lamé system and a refined asymptotic analysis of the fundamental solution of the Lamé system in presence of an inclusion which shows surprising features.
DOI
10.1137/130946307
WOS
WOS:000341572100014
SCOPUS
2-s2.0-84969157865
Archivio
http://hdl.handle.net/11368/2800734
Diritti
metadata only access
Soggetti
  • inverse problems

  • Stability

  • Unique continuation

Web of Science© citazioni
18
Data di acquisizione
Mar 25, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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