We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain ⊂ R^n and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

ALESSANDRINI, GIOVANNI;SINCICH, EVA
2016-01-01

Abstract

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain ⊂ R^n and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.
2016
Pubblicato
http://www.sciencedirect.com/science/article/pii/S002178241630112X
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S002178241630112X-main.pdf

Accesso chiuso

Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 442.38 kB
Formato Adobe PDF
442.38 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
2881573_1-s2.0-S002178241630112X-main-PostPrint.pdf

accesso aperto

Descrizione: Post Print VQR3
Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Digital Rights Management non definito
Dimensione 977.64 kB
Formato Adobe PDF
977.64 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2881573
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 28
  • ???jsp.display-item.citation.isi??? 26
social impact