Electrical impedance tomography using a point electrode inverse scheme for complete electrode data

Fabrice Delbary; Rainer Kress

doi:10.3934/ipi.2011.5.355

Article Contents

2011, Volume 5, Issue 2: 355-369. Doi: 10.3934/ipi.2011.5.355

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Electrical impedance tomography using a point electrode inverse scheme for complete electrode data

Fabrice Delbary^1, and
Rainer Kress^2,

1.
Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800 Kongens Lyngby
2.
Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 37083 Göttingen

Received: May 2010

Revised: September 2010

Published: May 2011

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Abstract

For the two dimensional inverse electrical impedance problem in the case of piecewise constant conductivities with the currents injected at adjacent point electrodes and the resulting voltages measured between the remaining electrodes, in [3] the authors proposed a nonlinear integral equation approach that extends a method that has been suggested by Kress and Rundell [10] for the case of perfectly conducting inclusions. As the main motivation for using a point electrode method we emphasized on numerical difficulties arising in a corresponding approach by Eckel and Kress [4, 5] for the complete electrode model. Therefore, the purpose of the current paper is to illustrate that the inverse scheme based on point electrodes can be successfully employed when synthetic data from the complete electrode model are used.

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Mathematics Subject Classification: Primary: 35R30; Secondary: 31Bxx, 65N21, 78A70.

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References

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