@article{UngerKoenke,
  author    = {Unger, J{\"o}rg F. and K{\"o}nke, Carsten},
  title     = {Coupling of scales in a multiscale simulation using neural networks},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  abstract  = {Coupling of scales in a multiscale simulation using neural networks},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{UngerKoenke,
  author    = {Unger, J{\"o}rg F. and K{\"o}nke, Carsten},
  title     = {PARAMETER IDENTIFICATION OF MESOSCALE MODELS FROM MACROSCOPIC TESTS USING BAYESIAN NEURAL NETWORKS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2898},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28984},
  pages     = {5},
  abstract  = {In this paper, a parameter identification procedure using Bayesian neural networks is proposed. Based on a training set of numerical simulations, where the material parameters are simulated in a predefined range using Latin Hypercube sampling, a Bayesian neural network, which has been extended to describe the noise of multiple outputs using a full covariance matrix, is trained to approximate the inverse relation from the experiment (displacements, forces etc.) to the material parameters. The method offers not only the possibility to determine the parameters itself, but also the accuracy of the estimate and the correlation between these parameters. As a result, a set of experiments can be designed to calibrate a numerical model.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{UngerEckardtKoenke,
  author    = {Unger, J{\"o}rg F. and Eckardt, Stefan and K{\"o}nke, Carsten},
  title     = {Modelling of cohesive crack growth in concrete structures with the extended finite element method},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {4087 -- 4100},
  abstract  = {Modelling of cohesive crack growth in concrete structures with the extended finite element method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {Distributed computing for the nonlinear analysis of multiphase composites},
  series = {Advances in Engineering Software},
  journal   = {Advances in Engineering Software},
  pages     = {20 -- 32},
  abstract  = {Distributed computing for the nonlinear analysis of multiphase composites},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {Hybrid computing models for large-scale heterogeneous 3d microstructures},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  pages     = {365 -- 377},
  abstract  = {Hybrid computing models for large-scale heterogeneous 3d microstructures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {SPARSE APPROXIMATE COMPUTATION OF SADDLE POINT PROBLEMS ARISING FROM FETI-DP DISCRETIZATION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2887},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28874},
  pages     = {12},
  abstract  = {The numerical simulation of microstructure models in 3D requires, due to enormous d.o.f., significant resources of memory as well as parallel computational power. Compared to homogeneous materials, the material hetrogeneity on microscale induced by different material phases demand for adequate computational methods for discretization and solution process of the resulting highly nonlinear problem. To enable an efficient/scalable solution process of the linearized equation systems the heterogeneous FE problem will be described by a FETI-DP (Finite Element Tearing and Interconnecting - Dual Primal) discretization. The fundamental FETI-DP equation can be solved by a number of different approaches. In our approach the FETI-DP problem will be reformulated as Saddle Point system, by eliminating the primal and Lagrangian variables. For the reduced Saddle Point system, only defined by interior and dual variables, special Uzawa algorithms can be adapted for iteratively solving the FETI-DP saddle-point equation system (FETI-DP SPE). A conjugate gradient version of the Uzawa algorithm will be shown as well as some numerical tests regarding to FETI-DP discretization of small examples using the presented solution technique. Furthermore the inversion of the interior-dual Schur complement operator can be approximated using different techniques building an adequate preconditioning matrix and therewith leading to substantial gains in computing time efficiency.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{NguyenTuanKoenkeBettziecheetal.,
  author    = {Nguyen-Tuan, Long and K{\"o}nke, Carsten and Bettzieche, Volker and Lahmer, Tom},
  title     = {Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  pages     = {143 -- 154},
  abstract  = {Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NasserSchwedlerWuttkeetal.,
  author    = {Nasser, Mourad and Schwedler, Michael and Wuttke, Frank and K{\"o}nke, Carsten},
  title     = {Seismic analysis of structural response using simplified soil-structure interaction models},
  series = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  journal   = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  abstract  = {Seismic analysis of structural response using simplified soil-structure interaction models},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LuuMartinezRodrigoZabeletal.,
  author    = {Luu, M. and Martinez-Rodrigo, M.D. and Zabel, Volkmar and K{\"o}nke, Carsten},
  title     = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  pages     = {2421 -- 2442},
  abstract  = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LutherKoenke,
  author    = {Luther, Torsten and K{\"o}nke, Carsten},
  title     = {Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  abstract  = {Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries},
  subject      = {Angewandte Mathematik},
  language  = {en}
}