% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Harris:877748,
      author       = {Harris, Isaac and Kleefeld, Andreas},
      title        = {{A}nalysis and computation of the transmission eigenvalues
                      with a conductive boundary condition},
      journal      = {Applicable analysis},
      volume       = {101},
      number       = {6},
      issn         = {1026-7360},
      reportid     = {FZJ-2020-02436},
      pages        = {1880-1895},
      year         = {2022},
      abstract     = {We provide a new analytical and computational study of the
                      transmission eigenvalueswith a conductive boundary
                      condition. These eigenvalues are derived fromthe scalar
                      inverse scattering problem for an inhomogeneous material
                      with a conductiveboundary condition. The goal is to study
                      how these eigenvalues depend onthe material parameters in
                      order to estimate the refractive index. The
                      analyticalquestions we study are: deriving Faber-Krahn type
                      lower bounds, the discretenessand limiting behavior of the
                      transmission eigenvalues as the conductivity tends
                      toinfinity for a sign changing contrast. We also provide a
                      numerical study of a newboundary integral equation for
                      computing the eigenvalues. Lastly, using the
                      limitingbehavior we will numerically estimate the refractive
                      index from the eigenvaluesprovided the conductivity is
                      sufficiently large but unknown.},
      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:000547422000001},
      doi          = {10.1080/00036811.2020.1789598},
      url          = {https://juser.fz-juelich.de/record/877748},
}