Kreß, Rainer

[["dc.bibliographiccitation.firstpage","151"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Inverse Problems and Imaging"],["dc.bibliographiccitation.lastpage","153"],["dc.bibliographiccitation.volume","3"],["dc.contributor.author","Colton, David"],["dc.contributor.author","Kress, Rainer"],["dc.date.accessioned","2018-11-07T08:30:19Z"],["dc.date.available","2018-11-07T08:30:19Z"],["dc.date.issued","2009"],["dc.identifier.doi","10.3934/ipi.2009.3.151"],["dc.identifier.isi","000266313600002"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/5996"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/16868"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Inst Mathematical Sciences"],["dc.relation.conference","International Conference on Inverse Scattering Problems"],["dc.relation.eventlocation","Levante, ITALY"],["dc.relation.issn","1930-8337"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","THIRTY YEARS AND STILL COUNTING"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","131"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Inverse Problems and Imaging"],["dc.bibliographiccitation.lastpage","149"],["dc.bibliographiccitation.volume","4"],["dc.contributor.author","Ivanyshyn, Olha"],["dc.contributor.author","Kress, Rainer"],["dc.date.accessioned","2018-11-07T08:46:17Z"],["dc.date.available","2018-11-07T08:46:17Z"],["dc.date.issued","2010"],["dc.description.abstract","The inverse problem for time-harmonic acoustic wave scattering to recover a sound-soft obstacle from a given incident field and the far field pattern of the scattered field is considered. We split this problem into two subproblems; first to reconstruct the shape from the modulus of the data and this is followed by employing the full far field pattern in a few measurement points to find the location of the obstacle. We extend a nonlinear integral equation approach for shape reconstruction from the modulus of the far field data [6] to the three-dimensional case. It is known, see [13], that the location of the obstacle cannot be reconstructed from only the modulus of the far field pattern since it is invariant under translations. However, employing the underlying invariance relation and using only few far field measurements in the backscattering direction we propose a novel approach for the localization of the obstacle. The efficient implementation of the method is described and the feasibility of the approach is illustrated by numerical examples."],["dc.description.sponsorship","Nanoscale Photonic Imaging [SFB 755]"],["dc.identifier.doi","10.3934/ipi.2010.4.131"],["dc.identifier.isi","000276414600008"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/7244"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/20656"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Inst Mathematical Sciences"],["dc.relation.issn","1930-8337"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","IDENTIFICATION OF SOUND-SOFT 3D OBSTACLES FROM PHASELESS DATA"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","055005"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Inverse Problems"],["dc.bibliographiccitation.volume","25"],["dc.contributor.author","Alves, Carlos"],["dc.contributor.author","Kress, Rainer"],["dc.contributor.author","Serranho, Pedro"],["dc.date.accessioned","2018-11-07T08:30:19Z"],["dc.date.available","2018-11-07T08:30:19Z"],["dc.date.issued","2009"],["dc.description.abstract","We propose two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples."],["dc.description.sponsorship","FCT [POCI/MAT/60863/2004]; Fundacao Calouste Gulbenkian"],["dc.identifier.doi","10.1088/0266-5611/25/5/055005"],["dc.identifier.isi","000264813000006"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/5997"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/16867"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Iop Publishing Ltd"],["dc.relation.issn","0266-5611"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","Iterative and range test methods for an inverse source problem for acoustic waves"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]