A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 1, p. 159-173

We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.

DOI : https://doi.org/10.1051/m2an:2003014
Classification:  35J20,  35B27,  35R30
Keywords: voltage perturbations, conductivity inhomogeneities, low volume fraction
@article{M2AN_2003__37_1_159_0,
     author = {Capdeboscq, Yves and Vogelius, Michael S.},
     title = {A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {1},
     year = {2003},
     pages = {159-173},
     doi = {10.1051/m2an:2003014},
     zbl = {1137.35346},
     mrnumber = {1972656},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2003__37_1_159_0}
}
Capdeboscq, Yves; Vogelius, Michael S. A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 1, pp. 159-173. doi : 10.1051/m2an:2003014. http://www.numdam.org/item/M2AN_2003__37_1_159_0/

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