@article{ReichertOlneyLahmer,
  author    = {Reichert, Ina and Olney, Peter and Lahmer, Tom},
  title     = {Combined approach for optimal sensor placement and experimental verification in the context of tower-like structures},
  series = {Journal of Civil Structural Health Monitoring},
  volume    = {2021},
  journal   = {Journal of Civil Structural Health Monitoring},
  number    = {volume 11},
  publisher = {Heidelberg},
  address   = {Springer},
  doi       = {10.1007/s13349-020-00448-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210804-44701},
  pages     = {223 -- 234},
  abstract  = {When it comes to monitoring of huge structures, main issues are limited time, high costs and how to deal with the big amount of data. In order to reduce and manage them, respectively, methods from the field of optimal design of experiments are useful and supportive. Having optimal experimental designs at hand before conducting any measurements is leading to a highly informative measurement concept, where the sensor positions are optimized according to minimal errors in the structures' models. For the reduction of computational time a combined approach using Fisher Information Matrix and mean-squared error in a two-step procedure is proposed under the consideration of different error types. The error descriptions contain random/aleatoric and systematic/epistemic portions. Applying this combined approach on a finite element model using artificial acceleration time measurement data with artificially added errors leads to the optimized sensor positions. These findings are compared to results from laboratory experiments on the modeled structure, which is a tower-like structure represented by a hollow pipe as the cantilever beam. Conclusively, the combined approach is leading to a sound experimental design that leads to a good estimate of the structure's behavior and model parameters without the need of preliminary measurements for model updating.},
  subject      = {Strukturmechanik},
  language  = {en}
}
@article{AlaladeNguyenTuanWuttkeetal.,
  author    = {Alalade, Muyiwa and Nguyen-Tuan, Long and Wuttke, Frank and Lahmer, Tom},
  title     = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM},
  series = {International Journal of Mechanics and Materials in Design},
  journal   = {International Journal of Mechanics and Materials in Design},
  doi       = {10.25643/bauhaus-universitaet.3596},
  pages     = {1 -- 19},
  abstract  = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM.},
  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}
}