Handle URI:
http://hdl.handle.net/10754/599470
Title:
Recovering an obstacle using integral equations
Authors:
Rundell, William
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.
Citation:
Rundell W (2009) Recovering an obstacle using integral equations. IPI 3: 319–332. Available: http://dx.doi.org/10.3934/ipi.2009.3.319.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Inverse Problems and Imaging
KAUST Grant Number:
KUS-CI-016-04
Issue Date:
May-2009
DOI:
10.3934/ipi.2009.3.319
Type:
Article
ISSN:
1930-8337
Sponsors:
This research was partially supported by the National Science Foundation under grant DMS-0715060 and by the King Abdullah University of Science and Technology (KAUST) under awardKUS-CI-016-04.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorRundell, Williamen
dc.date.accessioned2016-02-28T05:51:44Zen
dc.date.available2016-02-28T05:51:44Zen
dc.date.issued2009-05en
dc.identifier.citationRundell W (2009) Recovering an obstacle using integral equations. IPI 3: 319–332. Available: http://dx.doi.org/10.3934/ipi.2009.3.319.en
dc.identifier.issn1930-8337en
dc.identifier.doi10.3934/ipi.2009.3.319en
dc.identifier.urihttp://hdl.handle.net/10754/599470en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis research was partially supported by the National Science Foundation under grant DMS-0715060 and by the King Abdullah University of Science and Technology (KAUST) under awardKUS-CI-016-04.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.titleRecovering an obstacle using integral equationsen
dc.typeArticleen
dc.identifier.journalInverse Problems and Imagingen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, Tx 77843-3368, USAen
kaust.grant.numberKUS-CI-016-04en
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