We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of $log,log$ type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality.
STABLE DETERMINATION OF A RIGID SCATTERER IN ELASTODYNAMICS
Eva Sincich;
2021-01-01
Abstract
We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of $log,log$ type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
2021_RSS_SIMA.pdf
Accesso chiuso
Descrizione: n response to the outbreak of the novel coronavirus SARS-CoV-2 and the associated disease COVID-19, SIAM has made the following collection freely available. We hope this content on epidemiology, disease modeling, pandemics and vaccines will help in the rapid fight against this global problem. Click on title above or here to access this collection.
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright Editore
Dimensione
476.11 kB
Formato
Adobe PDF
|
476.11 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
2021_RSS_SIMA-Post_print.pdf
accesso aperto
Tipologia:
Bozza finale post-referaggio (post-print)
Licenza:
Creative commons
Dimensione
1.1 MB
Formato
Adobe PDF
|
1.1 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.