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

Yves Capdeboscq; Michael S. Vogelius

doi:10.1051/m2an:2003014

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

Yves Capdeboscq, Michael S. Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

91 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	159-173
Number of pages	15
Journal	Mathematical Modelling and Numerical Analysis
Volume	37
Issue number	1
DOIs	https://doi.org/10.1051/m2an:2003014
State	Published - Jan 2003

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Modeling and Simulation
Computational Mathematics
Applied Mathematics

Keywords

Conductivity inhomogeneities
Low volume fraction
Voltage perturbations

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10.1051/m2an:2003014

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

abstract = "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.",

keywords = "Conductivity inhomogeneities, Low volume fraction, Voltage perturbations",

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T1 - A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

AU - Capdeboscq, Yves

AU - Vogelius, Michael S.

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N2 - 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.

AB - 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.

KW - Conductivity inhomogeneities

KW - Low volume fraction

KW - Voltage perturbations

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EP - 173

JO - Mathematical Modelling and Numerical Analysis

JF - Mathematical Modelling and Numerical Analysis

IS - 1

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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