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

Yves Capdeboscq; Michael S. Vogelius

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 1, page 159-173
- ISSN: 0764-583X

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topCapdeboscq, Yves, and 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 37.1 (2010): 159-173. <http://eudml.org/doc/194151>.

@article{Capdeboscq2010,

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.
},

author = {Capdeboscq, Yves, Vogelius, Michael S.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Voltage perturbations; conductivity inhomogeneities; low volume fraction.; voltage perturbations; low volume fraction},

language = {eng},

month = {3},

number = {1},

pages = {159-173},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/194151},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Capdeboscq, Yves

AU - Vogelius, Michael S.

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 1

SP - 159

EP - 173

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.

LA - eng

KW - Voltage perturbations; conductivity inhomogeneities; low volume fraction.; voltage perturbations; low volume fraction

UR - http://eudml.org/doc/194151

ER -

## References

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## Citations in EuDML Documents

top- Hoai-Minh Nguyen, Michael S. Vogelius, A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
- Yves Capdeboscq, Michael S. Vogelius, Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
- Yves Capdeboscq, Michael S. Vogelius, Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
- Roland Griesmaier, A general perturbation formula for electromagnetic fields in presence of low volume scatterers
- Roland Griesmaier, A general perturbation formula for electromagnetic fields in presence of low volume scatterers
- Habib Ammari, Hyeonbae Kang, Sur le Problème de Conductivité Inverse
- Stanislas Larnier, Mohamed Masmoudi, The extended adjoint method
- Stanislas Larnier, Mohamed Masmoudi, The extended adjoint method

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