@article{Zhang,
  author    = {Zhang, Yongzheng},
  title     = {Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method},
  series = {Engineering with Computers},
  volume    = {2022},
  journal   = {Engineering with Computers},
  publisher = {Springer},
  address   = {London},
  doi       = {10.1007/s00366-021-01587-1},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220209-45849},
  pages     = {1 -- 35},
  abstract  = {In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as 'classical' approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{KaltenbacherLahmerMohretal.,
  author    = {Kaltenbacher, Barbara and Lahmer, Tom and Mohr, Marcus and Kaltenbacher, Manfred},
  title     = {PDE based determination of piezoelectric material tensors},
  series = {European Journal of Applied Mathematics},
  journal   = {European Journal of Applied Mathematics},
  doi       = {10.25643/bauhaus-universitaet.3595},
  pages     = {383 -- 416},
  abstract  = {PDE based determination of piezoelectric material tensors.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LahmerKaltenbacherKaltenbacheretal.,
  author    = {Lahmer, Tom and Kaltenbacher, Manfred and Kaltenbacher, Barbara and Lerch, Reinhard and Leder, Erich},
  title     = {Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials},
  series = {IEEE transactions on ultrasonics, ferroelectrics, and frequency control},
  journal   = {IEEE transactions on ultrasonics, ferroelectrics, and frequency control},
  doi       = {10.25643/bauhaus-universitaet.3594},
  abstract  = {Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LahmerKaltenbacherSchulz,
  author    = {Lahmer, Tom and Kaltenbacher, Barbara and Schulz, V.},
  title     = {Optimal measurement selection for piezoelectric material tensor identification},
  series = {Inverse Problems in Science and Engineering},
  journal   = {Inverse Problems in Science and Engineering},
  doi       = {10.25643/bauhaus-universitaet.3593},
  pages     = {369 -- 387},
  abstract  = {Optimal measurement selection for piezoelectric material tensor identification.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{Lahmer,
  author    = {Lahmer, Tom},
  title     = {Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity},
  series = {Journal of Inverse and Ill-posed Problems},
  journal   = {Journal of Inverse and Ill-posed Problems},
  pages     = {585 -- 593},
  abstract  = {Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{HauckLahmerKaltenbacher,
  author    = {Hauck, A. and Lahmer, Tom and Kaltenbacher, Manfred},
  title     = {Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method},
  series = {COMPEL: The international journal for computation and mathematics in electrical and electronic engineering},
  journal   = {COMPEL: The international journal for computation and mathematics in electrical and electronic engineering},
  pages     = {935 -- 947},
  abstract  = {Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LahmerKoenkeBettzieche,
  author    = {Lahmer, Tom and K{\"o}nke, Carsten and Bettzieche, Volker},
  title     = {Optimal positioning of sensors for the monitoring of water dams},
  series = {WASSERWIRTSCHAFT},
  journal   = {WASSERWIRTSCHAFT},
  pages     = {16 -- 19},
  abstract  = {Optimal positioning of sensors for the monitoring of water dams},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{LahmerKoenkeBettzieche,
  author    = {Lahmer, Tom and K{\"o}nke, Carsten and Bettzieche, Volker},
  title     = {Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerks{\"u}berwachung},
  series = {WASSERWIRTSCHAFT},
  journal   = {WASSERWIRTSCHAFT},
  pages     = {16 -- 16},
  abstract  = {Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerks{\"u}berwachung},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{Lahmer,
  author    = {Lahmer, Tom},
  title     = {Crack identification in hydro-mechanical systems with applications to gravity water dams},
  series = {Inverse Problems in Science and Engineering},
  journal   = {Inverse Problems in Science and Engineering},
  pages     = {1083 -- 1101},
  abstract  = {Crack identification in hydro-mechanical systems with applications to gravity water dams},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SteinLahmerBock,
  author    = {Stein, Peter and Lahmer, Tom and Bock, Sebastian},
  title     = {Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau},
  series = {Bautechnik},
  journal   = {Bautechnik},
  pages     = {8 -- 11},
  abstract  = {Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau},
  subject      = {Angewandte Mathematik},
  language  = {de}
}