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

Giovanni Alessandrini; Maarten V. de Hoop; Romina Gaburro; Eva Sincich

doi:10.1016/j.matpur.2016.10.001

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

Giovanni Alessandrini
, Maarten V. de Hoop
, Romina Gaburro
, Eva Sincich

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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 Ω⊂Rⁿ and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

Original language	English
Pages (from-to)	638-664
Number of pages	27
Journal	Journal des Mathematiques Pures et Appliquees
Volume	107
Issue number	5
DOIs	https://doi.org/10.1016/j.matpur.2016.10.001
Publication status	Published - 1 May 2017

Keywords

Electrical impedance tomography
Lipschitz stability
Piecewise linear conductivities

Access to Document

10.1016/j.matpur.2016.10.001

Cite this

@article{56c3f56fb74d430ab266360611d0033a,

title = "Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities",

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 Ω⊂Rn and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.",

keywords = "Electrical impedance tomography, Lipschitz stability, Piecewise linear conductivities",

author = "Giovanni Alessandrini and \{de Hoop\}, \{Maarten V.\} and Romina Gaburro and Eva Sincich",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Masson SAS",

year = "2017",

month = may,

day = "1",

doi = "10.1016/j.matpur.2016.10.001",

language = "English",

volume = "107",

pages = "638--664",

journal = "Journal des Mathematiques Pures et Appliquees",

issn = "0021-7824",

number = "5",

}

TY - JOUR

T1 - Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

AU - Alessandrini, Giovanni

AU - de Hoop, Maarten V.

AU - Gaburro, Romina

AU - Sincich, Eva

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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 Ω⊂Rn and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

AB - 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 Ω⊂Rn and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

KW - Electrical impedance tomography

KW - Lipschitz stability

KW - Piecewise linear conductivities

UR - https://www.scopus.com/pages/publications/85013413885

U2 - 10.1016/j.matpur.2016.10.001

DO - 10.1016/j.matpur.2016.10.001

M3 - Article

AN - SCOPUS:85013413885

SN - 0021-7824

VL - 107

SP - 638

EP - 664

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 5

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this