# Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume

Habib Ammari; Shari Moskow; Michael S. Vogelius

ESAIM: Control, Optimisation and Calculus of Variations (2003)

- Volume: 9, page 49-66
- ISSN: 1292-8119

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topAmmari, Habib, Moskow, Shari, and Vogelius, Michael S.. "Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume." ESAIM: Control, Optimisation and Calculus of Variations 9 (2003): 49-66. <http://eudml.org/doc/245661>.

@article{Ammari2003,

abstract = {In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.},

author = {Ammari, Habib, Moskow, Shari, Vogelius, Michael S.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {electromagnetic imaging; small inhomogeneities; numerical reconstruction algorithms},

language = {eng},

pages = {49-66},

publisher = {EDP-Sciences},

title = {Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume},

url = {http://eudml.org/doc/245661},

volume = {9},

year = {2003},

}

TY - JOUR

AU - Ammari, Habib

AU - Moskow, Shari

AU - Vogelius, Michael S.

TI - Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2003

PB - EDP-Sciences

VL - 9

SP - 49

EP - 66

AB - In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.

LA - eng

KW - electromagnetic imaging; small inhomogeneities; numerical reconstruction algorithms

UR - http://eudml.org/doc/245661

ER -

## References

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## Citations in EuDML Documents

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