@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{AchenbachLahmerMorgenthal,
  author    = {Achenbach, Marcus and Lahmer, Tom and Morgenthal, Guido},
  title     = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods},
  series = {14th International Probabilistic Workshop},
  journal   = {14th International Probabilistic Workshop},
  pages     = {97 -- 106},
  abstract  = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenTuanLahmerDatchevaetal.,
  author    = {Nguyen-Tuan, Long and Lahmer, Tom and Datcheva, Maria and Schanz, Tom},
  title     = {Global and local sensitivity analyses for coupled thermo-hydro-mechanical problems},
  series = {International Journal for Numerical and Analytical Methods in Geomechanics},
  journal   = {International Journal for Numerical and Analytical Methods in Geomechanics},
  abstract  = {Global and local sensitivity analyses for coupled thermo-hydro-mechanical problems},
  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{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{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{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{SchmidtLahmer,
  author    = {Schmidt, Albrecht and Lahmer, Tom},
  title     = {Efficient domain decomposition based reliability analysis for polymorphic uncertain material parameters},
  series = {Proceedings in Applied Mathematics \& Mechanics},
  volume    = {2021},
  journal   = {Proceedings in Applied Mathematics \& Mechanics},
  number    = {Volume 21, issue 1},
  publisher = {Wiley-VHC},
  address   = {Weinheim},
  doi       = {10.1002/pamm.202100014},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220112-45563},
  pages     = {1 -- 4},
  abstract  = {Realistic uncertainty description incorporating aleatoric and epistemic uncertainties can be described within the framework of polymorphic uncertainty, which is computationally demanding. Utilizing a domain decomposition approach for random field based uncertainty models the proposed level-based sampling method can reduce these computational costs significantly and shows good agreement with a standard sampling technique. While 2-level configurations tend to get unstable with decreasing sampling density 3-level setups show encouraging results for the investigated reliability analysis of a structural unit square.},
  subject      = {Polymorphie},
  language  = {en}
}
@inproceedings{WellmannJelicBaitschHartmann2004,
  author    = {Wellmann Jelic, Andres and Baitsch, Matthias and Hartmann, Dietrich},
  title     = {Distributed computing of failure probabilities for structures in civil engineering},
  doi       = {10.25643/bauhaus-universitaet.103},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-1030},
  year      = {2004},
  abstract  = {In this contribution the software design and implementation of an analysis server for the computation of failure probabilities in structural engineering is presented. The structures considered are described in terms of an equivalent Finite Element model, the stochastic properties, like e.g. the scatter of the material behavior or the incoming load, are represented using suitable random variables. Within the software framework, a Client-Server-Architecture has been implemented, employing the middleware CORBA for the communication between the distributed modules. The analysis server offers the possibility to compute failure probabilities for stochastically defined structures. Therefore, several different approximation (FORM, SORM) and simulation methods (Monte Carlo Simulation and Importance Sampling) have been implemented. This paper closes in showing several examples computed on the analysis server.},
  subject      = {Konzipieren <Technik>},
  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 = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {960},
  abstract  = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  subject      = {Angewandte Mathematik},
  language  = {en}
}