@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{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  doi       = {10.1016/j.jsv.2010.07.006},
  pages     = {5375 -- 5392},
  abstract  = {In the context of finite element model updating using output-only vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the correct pairing of experimentally obtained and numerically derived natural frequencies and mode shapes is important. In many cases, only limited spatial information is available and noise is present in the measurements. Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task. The most common criterion for indicating corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases and is not reliable for automatic approaches. In this paper, the purely mathematical modal assurance criterion will be enhanced by additional physical information from the numerical model in terms of modal strain energies. A numerical example and a benchmark study with experimental data are presented to show the advantages of the proposed energy-based criterion in comparison to the traditional modal assurance criterion.},
  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}
}
@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}
}
@article{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  series = {Mechanical Systems and Signal Processing},
  journal   = {Mechanical Systems and Signal Processing},
  abstract  = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhRabczukNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Rabczuk, Timon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain},
  title     = {An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates},
  series = {Finite Elements in Analysis \& Design},
  journal   = {Finite Elements in Analysis \& Design},
  pages     = {519 -- 535},
  abstract  = {An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhNguyenXuanBordasetal.,
  author    = {Nguyen-Thanh, Nhon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {1892 -- 1908},
  abstract  = {Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhKiendlNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Kiendl, J. and Nguyen-Xuan, Hung and W{\"u}chner, R. and Bletzinger, Kai-Uwe and Bazilevs, Yuri and Rabczuk, Timon},
  title     = {Rotation free isogeometric thin shell analysis using PHT-splines},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {3410 -- 3424},
  abstract  = {Rotation free isogeometric thin shell analysis using PHT-splines},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SimpsonBordasTrevelyanetal.,
  author    = {Simpson, R. and Bordas, St{\´e}phane Pierre Alain and Trevelyan, J. and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {An Isogeometric Boundary Element Method for elastostatic analysis},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  doi       = {10.1016/j.cma.2011.08.008},
  abstract  = {The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}