BOUNDS ON THE SIZE OF AN INCLUSION USING THE TRANSLATION METHOD FOR TWO-DIMENSIONAL COMPLEX CONDUCTIVITY

The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on the volume fraction of the unknown inclusion embedded in the body sire derived in terms of two pairs of voltage and curren...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2014-01, Vol.74 (4), p.939-958
Main Authors: KANG, HYEONBAE, KIM, KYOUNGSUN, LEE, HYUNDAE, LI, XIAOFEI, MILTON, GRAEME W.
Format: Article
Language:English
Subjects:
Boundaries
Boundary value problems
Complex numbers
Composite materials
Conductivity
Dental calculus
Electric current
Electric potential
Estimation methods
Inclusions
Material concentration
Mathematical models
Noise measurement
Resistivity
Translations
Two dimensional
Voltage
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Summary:The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on the volume fraction of the unknown inclusion embedded in the body sire derived in terms of two pairs of voltage and current data measured on the boundary of the body. These bounds are derived using the translation method. We then show by numerical examples that these bounds are quite tight and stable under measurement noise.
ISSN:0036-1399
1095-712X
DOI:10.1137/130940426