On computation of test dipoles for factorization method
type: Item
instance of: scholarly article
title: On computation of test dipoles for factorization method
zbMATH Open document ID: 1167.78006
author: Nuutti Hyvönen
author: Harri Hakula
published in: BIT
publication date: 2009-04-29T00:00:00Z
review text: The paper addresses the problem of efficient computation of Dirichlet boundary values of potentials created by dipole sources located inside an object examined by the electric impedance tomography (EIT) method, in the case where the main goal is to locate small inclusions (inhomogeneities) inside the otherwise homogeneous (with respect to the conductivity) object. Such a problem turns out to be crucial in the implementation of the factorization algorithm originally introduced by Kirsch for inverse obstacle scattering. The authors introduce (and test numerically in two space dimensions) a fast scheme for approximating the test potentials in the framework of the complete electrode model (CEM) of EIT under the assumption that the known background conductivity is constant. The technique is based on the known functional form of the free-space dipole potential and an approximation link between the CEM and the idealized continuum model, which assumes that the measurements can be conducted everywhere on the object boundary. In particular, the proposed algorithm does not include solving any extra forward (elliptic boundary value) problem.
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 5549595
zbMATH Keywords: factorization method
zbMATH Keywords: electrical impedance tomography
zbMATH Keywords: complete electrode method
zbMATH Keywords: hp-FEM
reviewed by: Dmitry Shepelsky
describes a project that uses: SC Toolbox
describes a project that uses: Schwarz-Christoffel
MaRDI profile type: Publication
full work available at URL: s10543-008-0205-9
OpenAlex ID: W1987432600
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DOI: 10.1007/S10543-008-0205-9
description: scientific article; zbMATH DE number 5549595