Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
Capdeboscq, Yves ; Vogelius, Michael S.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003), p. 227-240 / Harvested from Numdam
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We recently derived a very general representation formula for the boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction (cf. Capdeboscq and Vogelius (2003)). In this paper we show how this representation formula may be used to obtain very accurate estimates for the size of the inhomogeneities in terms of multiple boundary measurements. As demonstrated by our computational experiments, these estimates are significantly better than previously known (single measurement) estimates, even for moderate volume fractions.

Publié le : 2003-01-01
DOI : https://doi.org/10.1051/m2an:2003024
Classification:  35J20,  35B27,  35R30 
@article{M2AN_2003__37_2_227_0,
     author = {Capdeboscq, Yves and Vogelius, Michael S.},
     title = {Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {37},
     year = {2003},
     pages = {227-240},
     doi = {10.1051/m2an:2003024},
     mrnumber = {1991198},
     zbl = {1137.35347},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2003__37_2_227_0}
}

Capdeboscq, Yves; Vogelius, Michael S. Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 227-240. doi : 10.1051/m2an:2003024. http://gdmltest.u-ga.fr/item/M2AN_2003__37_2_227_0/

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