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

Habib Ammari; Shari Moskow; Michael S. Vogelius

doi:10.1051/cocv:2002071

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

Habib Ammari, Shari Moskow, Michael S. Vogelius

School of Arts and Sciences, Mathematics

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

70 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	49-66
Number of pages	18
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	9
DOIs	https://doi.org/10.1051/cocv:2002071
State	Published - Jan 2003

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization
Computational Mathematics

Keywords

Electromagnetic imaging
Numerical reconstruction algorithms
Small inhomogeneities

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10.1051/cocv:2002071

Cite this

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

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

keywords = "Electromagnetic imaging, Numerical reconstruction algorithms, Small inhomogeneities",

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AU - Ammari, Habib

AU - Moskow, Shari

AU - Vogelius, Michael S.

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N2 - In this paper we discuss the approximate reconstruction of inhomogeneities of small vol-ume. The data used for the reconstruction consist of boundary integrals of the (observed) electromag-netic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.

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

KW - Electromagnetic imaging

KW - Numerical reconstruction algorithms

KW - Small inhomogeneities

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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