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Boundary integral formulations for the forward problem in magnetic induction tomography

✍ Scribed by S. Engleder; O. Steinbach


Book ID
102512395
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
429 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis


In this paper we present two models for the forward problem of magnetic induction tomography. In particular, we describe the eddy current model, and a reduced simplified model. The error between the reduced and the full model is analyzed in dependence of parameters such as the frequency and the conductivity. In the case of a piecewise constant conductivity we derive a boundary integral formulation for the reduced model. Finally, we comment on numerical results for the forward problem and give a comparison of both models.


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## Abstract The reconstruction of a current distribution from measurements of the magnetic field is an important problem of current research in inverse problems. Here, we study an appropriate solution to the forward problem, i.e. the calculation of a current distribution given some resistance or co