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@PHDTHESIS{Pieronek:885910,
      author       = {Pieronek, Lukas Julian},
      title        = {{T}he method of fundamental solutions for computing
                      interior transmission eigenvalues},
      volume       = {44},
      school       = {BTU Cottbus-Senftenberg},
      type         = {Dr.},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {FZJ-2020-04174},
      isbn         = {978-3-95806-504-8},
      series       = {Schriften des Forschungszentrums Jülich. IAS Series},
      pages        = {115 S.},
      year         = {2020},
      note         = {BTU Cottbus-Senftenberg, Diss., 2020},
      abstract     = {This thesis deals with a novel approach for analyzing and
                      computing interior transmission eigenvalues of (piecewise)
                      homogeneous media in two dimensions. It is based on
                      approximating boundary data of respective eigenfunctions by
                      the method of fundamental solutions. However, since a
                      straightforward implementation would solely exploit
                      ill-conditioned matrices and thus evoke spurious results, a
                      stabilization scheme is incorporated. The combined method is
                      then studied with a distinction between isotropic and
                      anisotropic materials, and complemented by novel
                      approximation theory each. Numerical validations complete
                      the investigations for different wave type scenarios.},
      cin          = {JSC},
      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)3 / PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:0001-2020103015},
      url          = {https://juser.fz-juelich.de/record/885910},
}