This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Elschner, JohannesHsiao, George C.Rathsfeld, Andreas2016-03-242019-06-2820100946-8633https://doi.org/10.34657/2127https://oa.tib.eu/renate/handle/123456789/2233We consider the inverse problem for an elastic body emerged in a fluid due to an acoustic wave. The shape of this obstacle is to be reconstructed from the far-field pattern of the scattered wave. For the numerical solution in the two-dimensional case, we compare a simple Newton type iteration method with the Kirsch-Kress algorithm. Our computational tests reveal that the Kirsch-Kress method converges faster for obstacles with very smooth boundaries. The simple Newton method, however, is more stable in the case of not so smooth domains and more robust with respect to measurement errors.application/pdfeng510acoustic and elastic wavesinverse scatteringsimple Newton iterationKirsch-Kress methodComparison of numerical methods for the reconstruction of elastic obstacles from the far-field data of scattered acoustic wavesReport