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

Habib Ammari, Shari Moskow, Michael S. Vogelius

Research output: Contribution to journalArticlepeer-review

63 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 languageEnglish (US)
Pages (from-to)49-66
Number of pages18
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume9
DOIs
StatePublished - 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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