Recovering an obstacle using integral equations

William Rundell

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the inverse problem of recovering the shape, location and surface properties of an object where the surrounding medium is both conductive and homogeneous and we measure Cauchy data on an accessible part of the exterior boundary. It is assumed that the physical situation is modelled by harmonic functions and the boundary condition on the obstacle is one of Dirichlet type. The purpose of this paper is to answer some of the questions raised in a recent paper that introduced a nonlinear integral equation approach for the solution of this type of problem.
Original languageEnglish (US)
Pages (from-to)319-332
Number of pages14
JournalInverse Problems and Imaging
Volume3
Issue number2
DOIs
StatePublished - May 14 2009
Externally publishedYes

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