A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

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. [PUBLICATION AB...

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Bibliographic Details
Published in:ESAIM. Mathematical modelling and numerical analysis 2003, Vol.37 (1), p.159-173
Main Authors: CAPDEBOSCQ, Yves, VOGELIUS, Michael S
Format: Article
Language:English
Subjects:
Boundary value problems
Exact sciences and technology
Function theory, analysis
Mathematical analysis
Mathematical methods in physics
Mathematics
Numerical analysis
Partial differential equations
Physics
Sciences and techniques of general use
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Summary: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. [PUBLICATION ABSTRACT]
ISSN:0764-583X
1290-3841
DOI:10.1051/m2an:2003014