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

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10.1016/j.matpur.2016.10.001

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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",

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AU - de Hoop, Maarten V.

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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.

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KW - Lipschitz stability

KW - Piecewise linear conductivities

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M3 - Article

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

Abstract

Keywords

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