Geodesic
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 49-66

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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.

DOI : 10.1051/cocv:2002071
Classification : 35J25, 35R30, 65R99
Keywords: electromagnetic imaging, small inhomogeneities, numerical reconstruction algorithms 
@article{COCV_2003__9__49_0,
     author = {Ammari, Habib and Moskow, Shari and Vogelius, Michael S.},
     title = {Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {49--66},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2003},
     doi = {10.1051/cocv:2002071},
     mrnumber = {1957090},
     zbl = {1075.78010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002071/}
}
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Ammari, Habib; Moskow, Shari; Vogelius, Michael S. Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 49-66. doi: 10.1051/cocv:2002071

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