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@MASTERSTHESIS{Weger:851509,
      author       = {Weger, Ann-Cathrin},
      title        = {{N}umerische {B}erechnung von elastischen {S}treuproblemen
                      in 2{D}},
      volume       = {4413},
      school       = {FH Aachen Campus Jülich},
      type         = {Masterarbeit},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {FZJ-2018-05135, Juel-4413},
      series       = {Berichte des Forschungszentrums Jülich},
      pages        = {VIII, 118 p.},
      year         = {2018},
      note         = {Masterarbeit, FH Aachen Campus Jülich, 2018},
      abstract     = {The master thesis deals with the numerical calculation of
                      elastic scattering problemsin 2D using the boundary integral
                      equation method. Elastic scattering problems, for example,
                      play an important role in nondestructive material testing
                      because they are useful for studying the internal structure
                      of an object. The field of elastic waves scattered on the
                      object can be used to draw conclusions about the condition
                      of the object. In this thesis the boundary integral equation
                      method with the resulting boundary integral equations and
                      operators is described. Afterwards the discretization of the
                      operators is explained and the integral algorithm of Beyn is
                      introduced. The main part of the thesis is the calculation
                      of the boundary integral operators for the static and
                      dynamic case with special treatment of the diagonal element
                      and their singularities. In this context, a singularity
                      subtraction is performed and various integrals are
                      determined as $\textit{Cauchy principle value}$ or
                      $\textit{Hadamard finite part integral}$. The operators
                      implemented in MATLAB are tested for various points in the
                      considered domain and examined for convergence. In addition,
                      the operators are used to determine the eigenvalues of
                      elastic scattering problems or transmission problems using
                      Beyn’s integral algorithm.},
      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)3 / PUB:(DE-HGF)29 / PUB:(DE-HGF)19},
      url          = {https://juser.fz-juelich.de/record/851509},
}