@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}
}
@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}
}
@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{KoenkeEckardtHaefneretal.,
  author    = {K{\"o}nke, Carsten and Eckardt, Stefan and H{\"a}fner, Stefan and Luther, Torsten and Unger, J{\"o}rg F.},
  title     = {Multiscale simulation methods in damage prediction of brittle and ductile materials},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  pages     = {17 -- 36},
  abstract  = {Multiscale simulation methods in damage prediction of brittle and ductile materials},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@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{NguyenXuanRabczukNguyenThanhetal.,
  author    = {Nguyen-Xuan, Hung and Rabczuk, Timon and Nguyen-Thanh, Nhon and Nguyen-Thoi, T. and Bordas, St{\´e}phane Pierre Alain},
  title     = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {679 -- 701},
  abstract  = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhThaiHoangNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Thai-Hoang, C. and Nguyen-Xuan, Hung and Rabczuk, Timon},
  title     = {A smoothed finite element method for the static and free vibration analysis of shells},
  series = {Journal of Civil Engineering and Architecture},
  journal   = {Journal of Civil Engineering and Architecture},
  pages     = {13 -- 25},
  abstract  = {A smoothed finite element method for the static and free vibration analysis of shells},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{NguyenThanhRabczuk,
  author    = {Nguyen-Thanh, Nhon and Rabczuk, Timon},
  title     = {A SMOOTHED FINITE ELEMENT METHOD FOR THE STATIC AND FREE VIBRATION ANALYSIS OF SHELLS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2877},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28777},
  pages     = {24},
  abstract  = {A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.},
  subject      = {Angewandte Informatik},
  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}
}