Kreß, Rainer

[["dc.bibliographiccitation.firstpage","193"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of Integral Equations and Applications"],["dc.bibliographiccitation.lastpage","216"],["dc.bibliographiccitation.volume","22"],["dc.contributor.author","Delbary, Fabrice"],["dc.contributor.author","Kress, Rainer"],["dc.date.accessioned","2018-11-07T08:42:49Z"],["dc.date.available","2018-11-07T08:42:49Z"],["dc.date.issued","2010"],["dc.description.abstract","We consider the two-dimensional inverse electrical impedance problem in the case of piecewise constant conductivities with the currents injected at adjacent point electrodes and the resulting voltages measured between the remaining electrodes. Our approach is based on nonlinear integral equations for the unknown shape of an inclusion with conductivity different from the background conductivity. It extends a method that has been suggested by Kress and Rundell [7] for the case of a perfectly conducting inclusion. We describe the method in detail and illustrate its feasibility by numerical examples."],["dc.description.sponsorship","German Ministry of Education and Research"],["dc.identifier.doi","10.1216/JIE-2010-22-2-193"],["dc.identifier.isi","000279048300003"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/19794"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Rocky Mt Math Consortium"],["dc.relation.issn","0897-3962"],["dc.title","ELECTRICAL IMPEDANCE TOMOGRAPHY WITH POINT ELECTRODES"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","355"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Inverse Problems and Imaging"],["dc.bibliographiccitation.lastpage","369"],["dc.bibliographiccitation.volume","5"],["dc.contributor.author","Delbary, Fabrice"],["dc.contributor.author","Kress, Rainer"],["dc.date.accessioned","2018-11-07T08:56:17Z"],["dc.date.available","2018-11-07T08:56:17Z"],["dc.date.issued","2011"],["dc.description.abstract","For the two dimensional inverse electrical impedance problem in the case of piecewise constant conductivities with the currents injected at adjacent point electrodes and the resulting voltages measured between the remaining electrodes, in [3] the authors proposed a nonlinear integral equation approach that extends a method that has been suggested by Kress and Rundell [10] for the case of perfectly conducting inclusions. As the main motivation for using a point electrode method we emphasized on numerical difficulties arising in a corresponding approach by Eckel and Kress [4, 5] for the complete electrode model. Therefore, the purpose of the current paper is to illustrate that the inverse scheme based on point electrodes can be successfully employed when synthetic data from the complete electrode model are used."],["dc.description.sponsorship","German Ministry of Education and Research"],["dc.identifier.doi","10.3934/ipi.2011.5.355"],["dc.identifier.isi","000293576500005"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/23106"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Inst Mathematical Sciences"],["dc.relation.issn","1930-8337"],["dc.title","ELECTRICAL IMPEDANCE TOMOGRAPHY USING A POINT ELECTRODE INVERSE SCHEME FOR COMPLETE ELECTRODE DATA"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","015002"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Inverse Problems"],["dc.bibliographiccitation.volume","24"],["dc.contributor.author","Delbary, Fabrice"],["dc.contributor.author","Erhard, Klaus"],["dc.contributor.author","Kress, Rainer"],["dc.contributor.author","Potthast, Roland"],["dc.contributor.author","Schulz, Jochen"],["dc.date.accessioned","2018-11-07T11:18:36Z"],["dc.date.available","2018-11-07T11:18:36Z"],["dc.date.issued","2008"],["dc.description.abstract","The detection of metallic objects is an important application in state-of-the-art security technology. In particular, for humanitarian mine detection the task is to detect objects that are buried in soil. Usually hand-held mine detectors create an electromagnetic pulse via a current in some wire loop and evaluate the scattered electromagnetic field via induction in a receiver loop that is moved together with the sender loop. This receiver signal can then be employed in identifying the location and the shape of metallic objects. Here, we model the full electromagnetic scattering problem in a two-layered medium from a perfectly conducting obstacle using boundary integral equations. The scattered field is modeled via a boundary layer approach and for its kernel the Green's matrix for the two-layered medium is constructed. We establish uniqueness and existence for the solution of the corresponding boundary integral equation. In the second part of the paper, we employ a direct search method for parameter estimation to find the location and size of some simple metallic objects from measurements of the induced voltage for a number of sender-receiver-loop positions."],["dc.identifier.doi","10.1088/0266-5611/24/1/015002"],["dc.identifier.isi","000254150900004"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/55076"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Iop Publishing Ltd"],["dc.relation.issn","0266-5611"],["dc.title","Inverse electromagnetic scattering in a two-layered medium with an application to mine detection"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]