| Issue |
ESAIM: M2AN
Volume 37, Number 1, January/February 2003
|
|
|---|---|---|
| Page(s) | 159 - 173 | |
| DOI | https://doi.org/10.1051/m2an:2003014 | |
| Published online | 15 March 2003 | |
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
Department of Mathematics, Rutgers University, New Brunswick,
NJ 08903, USA. vogelius@math.rutgers.edu.
Received:
17
July
2002
Revised:
30
October
2002
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.
Mathematics Subject Classification: 35J20 / 35B27 / 35R30
Key words: Voltage perturbations / conductivity inhomogeneities / low volume fraction.
© EDP Sciences, SMAI, 2003
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