BOUNDS ON THE VOLUME FRACTIONS OF TWO MATERIALS IN A THREE-DIMENSIONAL BODY FROM BOUNDARY MEASUREMENTS BY THE TRANSLATION METHOD

Title
BOUNDS ON THE VOLUME FRACTIONS OF TWO MATERIALS IN A THREE-DIMENSIONAL BODY FROM BOUNDARY MEASUREMENTS BY THE TRANSLATION METHOD
Authors
강현배
Keywords
inverse problems, size estimation, electrical impedance tomography
Issue Date
2013
Publisher
SIAM JOURNAL ON APPLIED MATHEMATICS
Series/Report no.
SIAM JOURNAL ON APPLIED MATHEMATICS ; Vol73 no.1 Startpage 475 Endpage 492
Abstract
Using the translation method of Tartar, Murat, Lurie, and Cherkaev, bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. The bounds assume that electrical impedance tomography measurements have been made for three sets of pairs of current flux and voltage measurements around the boundary. Additionally, the conductivity of the inclusion and the conductivity of the surrounding medium are assumed to be known. If the boundary data (Dirichlet or Neumann) is special, i.e., such that the fields inside the body would be uniform were the body homogeneous, then the bounds reduce to those of Milton and thus, when the volume fraction is small, to those of Capdeboscq and Vogelius.
URI
http://dspace.inha.ac.kr/handle/10505/33378
ISSN
0036-1399
Appears in Collections:
College of Natural Science(자연과학대학) > Mathematics (수학) > Journal Papers, Reports(수학 논문, 보고서)
Files in This Item:
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