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@ARTICLE{Harris:1046703,
      author       = {Harris, Isaac and Kleefeld, Andreas and Lee, Heejin},
      title        = {{S}ampling methods for recovering buried corroded
                      boundaries from partial electrostatic {C}auchy data},
      journal      = {SIAM journal on applied mathematics},
      volume       = {85},
      number       = {5},
      issn         = {0036-1399},
      address      = {Philadelphia, Pa.},
      publisher    = {Soc.},
      reportid     = {FZJ-2025-03922},
      pages        = {2215 - 2241},
      year         = {2025},
      abstract     = {We consider the inverse shape and parameter problem for
                      detecting corrosion from partial boundary measurements. This
                      problem models the nondestructive testing for a partially
                      buried object from electrostatic measurements on the
                      accessible part of the boundary. The main novelty is the
                      extension of the linear sampling and factorization methods
                      to an electrostatic problem with partial measurements. These
                      methods so far have only mainly applied to recovering
                      interior defects, which is a simpler problem. Another
                      important aspect of this paper is in our numerics, where we
                      derive a system of boundary integral equations to recover
                      the mixed Green’s function needed for our inversion. With
                      this, we are able to analytically and numerically solve the
                      inverse shape problem. For the inverse parameter problem, we
                      prove uniqueness and Lipschitz-stability (in a finite
                      dimensional function space) assuming that one has the
                      associated Neumann-to-Dirichlet operator on the accessible
                      part of the boundary.},
      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:001607381900013},
      doi          = {10.1137/24M1694483},
      url          = {https://juser.fz-juelich.de/record/1046703},
}