Show simple item record

dc.contributor.authorRundell, William
dc.contributor.authorHanke, Martin
dc.date.accessioned2016-02-25T13:51:46Z
dc.date.available2016-02-25T13:51:46Z
dc.date.issued2011-02-23
dc.identifier.citationRundell W, Hanke M (2011) On rational approximation methods for inverse source problems. IPI 5: 185–202. Available: http://dx.doi.org/10.3934/ipi.2011.5.185.
dc.identifier.issn1930-8337
dc.identifier.doi10.3934/ipi.2011.5.185
dc.identifier.urihttp://hdl.handle.net/10754/599043
dc.description.abstractThe basis of most imaging methods is to detect hidden obstacles or inclusions within a body when one can only make measurements on an exterior surface. Such is the ubiquity of these problems, the underlying model can lead to a partial differential equation of any of the major types, but here we focus on the case of steady-state electrostatic or thermal imaging and consider boundary value problems for Laplace's equation. Our inclusions are interior forces with compact support and our data consists of a single measurement of (say) voltage/current or temperature/heat flux on the external boundary. We propose an algorithm that under certain assumptions allows for the determination of the support set of these forces by solving a simpler "equivalent point source" problem, and which uses a Newton scheme to improve the corresponding initial approximation. © 2011 American Institute of Mathematical Sciences.
dc.description.sponsorshipThis research was supported by the National Science Foundation under grant DMS-0715060 and by the King Abdullah University of Science and Technology (KAUST) award KUS-CI-016-04.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectInverse source problem
dc.subjectRational approximation
dc.titleOn rational approximation methods for inverse source problems
dc.typeArticle
dc.identifier.journalInverse Problems and Imaging
dc.contributor.institutionJohannes Gutenberg Universitat Mainz, Mainz, Germany
dc.contributor.institutionTexas A and M University, College Station, United States
kaust.grant.numberKUS-CI-016-04
dc.date.published-online2011-02-23
dc.date.published-print2011


This item appears in the following Collection(s)

Show simple item record