Stability In Conductivity Imaging From Partial Measurements Of One Interior Current

Keywords

1-Laplacian; Current density imaging; Electrical impedance tomography; Hybrid inverse problems; Magnetic resonance

Abstract

We prove a stability result in the hybrid inverse problem of recovering the electrical conductivity from partial knowledge of one current density field generated inside a body by an imposed boundary voltage. The region of stable reconstruction is well defined by a combination of the exact and perturbed data. This work explains the high resolution and accuracy reconstructions in some existing numerical experiments that use partial interior data.

Publication Date

4-1-2017

Publication Title

Inverse Problems and Imaging

Volume

11

Issue

2

Number of Pages

339-353

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.3934/ipi.2017016

Socpus ID

85015712395 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85015712395

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