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@ARTICLE{Ayala:1018740,
      author       = {Ayala, Rafael Ceja and Harris, Isaac and Kleefeld, Andreas},
      title        = {{D}irect sampling method via {L}andweber iteration for an
                      absorbing scatterer with a conductive boundary},
      journal      = {Inverse problems and imaging},
      volume       = {18},
      number       = {3},
      issn         = {1930-8337},
      address      = {Springfield, Mo.},
      publisher    = {AIMS},
      reportid     = {FZJ-2023-05021},
      pages        = {708-729},
      year         = {2024},
      abstract     = {In this paper, we consider the inverse shape problem of
                      recovering isotropic scatterers with a conductive boundary
                      condition. Here, we assume that the measured far-field data
                      is known at a fixed wave number. Motivated by recent work,
                      we study a new direct sampling indicator based on the
                      Landweber iteration and the factorization method. Therefore,
                      we prove the connection between these reconstruction
                      methods. The method studied here falls under the category of
                      qualitative reconstruction methods where an imaging function
                      is used to recover the absorbing scatterer. We prove
                      stability of our new imaging function as well as derive a
                      discrepancy principle for recovering the regularization
                      parameter. The theoretical results are verified with
                      numerical examples to show how the reconstruction performs
                      by the new Landweber direct sampling method.},
      cin          = {JSC},
      ddc          = {510},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5112},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001115861700001},
      doi          = {10.3934/ipi.2023051},
      url          = {https://juser.fz-juelich.de/record/1018740},
}