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@ARTICLE{Kleefeld:843608,
      author       = {Kleefeld, Andreas and Pieronek, Lukas},
      title        = {{T}he method of fundamental solutions for computing
                      acoustic interior transmission eigenvalues},
      journal      = {Inverse problems},
      volume       = {34},
      number       = {3},
      issn         = {1361-6420},
      reportid     = {FZJ-2018-01190},
      pages        = {035007},
      year         = {2018},
      abstract     = {We analyze the method of fundamental solutions (MFS) in two
                      different versions with focus on the computation of
                      approximate acoustic interior transmission eigenvalues in 2D
                      for homogeneous media. Our approach is mesh- and integration
                      free, but suffers in general from the ill-conditioning
                      effects of the discretized eigenoperator, which we could
                      then successfully balance using an approved stabilization
                      scheme. Our numerical examples cover many of the common
                      scattering objects and prove to be very competitive in
                      accuracy with the standard methods for PDE-related
                      eigenvalue problems. We finally give an approximation
                      analysis for our framework and provide error estimates,
                      which bound interior transmission eigenvalue deviations in
                      terms of some generalized MFS output.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / PhD no Grant - Doktorand ohne besondere
                      Förderung (PHD-NO-GRANT-20170405)},
      pid          = {G:(DE-HGF)POF3-511 / G:(DE-Juel1)PHD-NO-GRANT-20170405},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000424014600002},
      doi          = {10.1088/1361-6420/aaa72d},
      url          = {https://juser.fz-juelich.de/record/843608},
}