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@ARTICLE{Reiser:865449,
      author       = {Reiser, Dirk},
      title        = {{M}odel discovery for studies of surface morphological
                      modifications based on {K}uramoto-{S}ivashinsky dynamics},
      journal      = {Physical review / E},
      volume       = {100},
      number       = {3},
      issn         = {2470-0045},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2019-04900},
      pages        = {033312},
      year         = {2019},
      abstract     = {A wide range of observations in studies of surfaces exposed
                      to ion beams can be explained and analyzed successfully by
                      continuum models of the Kuramoto-Sivashinsky type. Despite
                      certain progress in the theoretical understanding of the
                      model parameters on the basis of atomistic models, much of
                      the applications are based on phenomenological determination
                      of several unknown quantities. In this work a numerical tool
                      is discussed and investigated, which allows us to determine
                      model coefficients and complex model structures from
                      experimental findings. The method resembles known approaches
                      in machine learning and data-driven reconstruction
                      techniques. To keep the discussion on a fundamental level,
                      numerical simulations are conducted by employing a scaled
                      test model. The reconstruction technique is demonstrated for
                      this model system and shows a high accuracy in recovering
                      input parameters for situations without beam noise. As an
                      application to an unknown system to be explored, the
                      algorithm is then applied to a system with lognormal
                      distributed ion bombardment. The impact of the beam
                      fluctuations in the proposed model are discussed.
                      Perspectives of the numerical algorithm for an analysis of
                      experimental data are addressed.},
      cin          = {IEK-4},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-4-20101013},
      pnm          = {174 - Plasma-Wall-Interaction (POF3-174)},
      pid          = {G:(DE-HGF)POF3-174},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000487738200011},
      pubmed       = {pmid:31639987},
      doi          = {10.1103/PhysRevE.100.033312},
      url          = {https://juser.fz-juelich.de/record/865449},
}