# 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 (2010)

- 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 (2010): 49-66. <http://eudml.org/doc/90708>.

@article{Ammari2010,

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.; electromagnetic imaging; numerical reconstruction algorithms},

language = {eng},

month = {3},

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/90708},

volume = {9},

year = {2010},

}

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

DA - 2010/3//

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.; electromagnetic imaging; numerical reconstruction algorithms

UR - http://eudml.org/doc/90708

ER -

## References

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