@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{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     = {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.3608},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20171030-36083},
  abstract  = {We propose an enhanced iterative scheme for the precise reconstruction of piezoelectric material parameters from electric impedance and mechanical displacement measurements. It is based on finite-element simulations of the full three-dimensional piezoelectric equations, combined with an inexact Newton or nonlinear Landweber iterative inversion scheme. We apply our method to two piezoelectric materials and test its performance. For the first material, the manufacturer provides a full data set; for the second one, no material data set is available. For both cases, our inverse scheme, using electric impedance measurements as input data, performs well.},
  subject      = {Finite-Elemente-Methode},
  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{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{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{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{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{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}
}
@article{LahmerKnabeNikullaetal.,
  author    = {Lahmer, Tom and Knabe, Tina and Nikulla, Susanne and Reuter, Markus},
  title     = {Bewertungsmethoden f{\"u}r Modelle des konstruktiven Ingenieurbaus},
  series = {Bautechnik},
  journal   = {Bautechnik},
  pages     = {60 -- 64},
  abstract  = {Bewertungsmethoden f{\"u}r Modelle des konstruktiven Ingenieurbaus},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{Lahmer,
  author    = {Lahmer, Tom},
  title     = {Optimal experimental design for nonlinear ill-posed problems applied to gravity dams},
  series = {Inverse Problems},
  journal   = {Inverse Problems},
  abstract  = {Optimal experimental design for nonlinear ill-posed problems applied to gravity dams},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{KeitelKarakiLahmeretal.,
  author    = {Keitel, Holger and Karaki, Ghada and Lahmer, Tom and Nikulla, Susanne and Zabel, Volkmar},
  title     = {Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis},
  series = {Engineering structures},
  journal   = {Engineering structures},
  pages     = {3726 -- 3736},
  abstract  = {Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenVinhBakarMsekhetal.,
  author    = {Nguyen-Vinh, H. and Bakar, I. and Msekh, Mohammed Abdulrazzak and Song, Jeong-Hoon and Muthu, Jacob and Zi, Goangseup and Le, P. and Bordas, St{\´e}phane Pierre Alain and Simpson, R. and Natarajan, S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials},
  series = {Engineering Fracture Mechanics},
  journal   = {Engineering Fracture Mechanics},
  doi       = {10.1016/j.engfracmech.2012.04.025},
  pages     = {19 -- 31},
  abstract  = {We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{KnabeDatchevaLahmeretal.,
  author    = {Knabe, Tina and Datcheva, Maria and Lahmer, Tom and Cotecchia, F. and Schanz, Tom},
  title     = {Identification of constitutive parameters of soil using an optimization strategy and statistical analysis},
  series = {Computers and Geotechnics},
  journal   = {Computers and Geotechnics},
  pages     = {143 -- 157},
  abstract  = {Identification of constitutive parameters of soil using an optimization strategy and statistical analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerRabczuk,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Detection of flaws in piezoelectric structures using extended FEM},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {373 -- 389},
  abstract  = {Detection of flaws in piezoelectric structures using extended FEM},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacLahmerZhangetal.,
  author    = {Vu-Bac, N. and Lahmer, Tom and Zhang, Yancheng and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)},
  series = {Composites Part B Engineering},
  journal   = {Composites Part B Engineering},
  pages     = {80 -- 95},
  abstract  = {Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{IlyaniAkmarLahmerBordasetal.,
  author    = {Ilyani Akmar, A.B. and Lahmer, Tom and Bordas, St{\´e}phane Pierre Alain and Beex, L.A.A. and Rabczuk, Timon},
  title     = {Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties},
  series = {Composite Structures},
  journal   = {Composite Structures},
  doi       = {10.1016/j.compstruct.2014.04.014},
  pages     = {1 -- 17},
  abstract  = {Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerRabczuk,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {98 -- 112},
  abstract  = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacLahmerKeiteletal.,
  author    = {Vu-Bac, N. and Lahmer, Tom and Keitel, Holger and Zhao, Jun-Hua and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations},
  series = {Mechanics of Materials},
  journal   = {Mechanics of Materials},
  pages     = {70 -- 84},
  abstract  = {Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations},
  subject      = {Angewandte Mathematik},
  language  = {en}
}