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@INPROCEEDINGS{Sutmann:825182,
      author       = {Sutmann, Godehard},
      title        = {{G}reen’s function enriched {P}oisson solver for
                      electrostatics in many-particle systems},
      volume       = {1738},
      address      = {Melville},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2016-07655},
      isbn         = {978-0-7354-1392-4},
      series       = {AIP Conference Proceedings},
      pages        = {480092},
      year         = {2016},
      note         = {All papers have been peer reviewed; English},
      abstract     = {A highly accurate method is presented for the construction
                      of the charge density for the solution of the
                      Poissonequation in particle simulations. The method is based
                      on an operator adjusted source term which can be shown to
                      produceexact results up to numerical precision in the case
                      of a large support of the charge distribution, therefore
                      compensating thediscretization error of finite difference
                      schemes. This is achieved by balancing an exact
                      representation of the known Green’sfunction of regularized
                      electrostatic problem with a discretized representation of
                      the Laplace operator. It is shown that theexact calculation
                      of the potential is possible independent of the order of the
                      finite difference scheme but the computationalefficiency for
                      higher order methods is found to be superior due to a faster
                      convergence to the exact result as a function of thecharge
                      support.},
      month         = {Sep},
      date          = {2015-09-22},
      organization  = {International Conference of Numerical
                       Analysis and Applied Mathematics 2015,
                       Rhodes (Greece), 22 Sep 2015 - 29 Sep
                       2015},
      keywords     = {Numerische Mathematik (gnd) / Angewandte Mathematik (gnd)},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      UT           = {WOS:000380803300545},
      doi          = {10.1063/1.4952328},
      url          = {https://juser.fz-juelich.de/record/825182},
}