@article{BucherMost,
  author    = {Bucher, Christian and Most, Thomas},
  title     = {A comparison of approximate response functions in structural reliability analysis},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {154 -- 163},
  abstract  = {A comparison of approximate response functions in structural reliability analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{KirichukMostBucher,
  author    = {Kirichuk, A. and Most, Thomas and Bucher, Christian},
  title     = {Numerical nonlinear analysis of kinematically excited shells},
  series = {International Journal for Computational Civil and Structural Engineering},
  journal   = {International Journal for Computational Civil and Structural Engineering},
  pages     = {61 -- 74},
  abstract  = {Numerical nonlinear analysis of kinematically excited shells},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{Most,
  author    = {Most, Thomas},
  title     = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {224 -- 252},
  abstract  = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{Most,
  author    = {Most, Thomas},
  title     = {ESTIMATING UNCERTAINTIES FROM INACCURATE MEASUREMENT DATA USING MAXIMUM ENTROPY DISTRIBUTIONS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2873},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28732},
  pages     = {14},
  abstract  = {Modern engineering design often considers uncertainties in geometrical and material parameters and in the loading conditions. Based on initial assumptions on the stochastic properties as mean values, standard deviations and the distribution functions of these uncertain parameters a probabilistic analysis is carried out. In many application fields probabilities of the exceedance of failure criteria are computed. The out-coming failure probability is strongly dependent on the initial assumptions on the random variable properties. Measurements are always more or less inaccurate data due to varying environmental conditions during the measurement procedure. Furthermore the estimation of stochastic properties from a limited number of realisation also causes uncertainties in these quantities. Thus the assumption of exactly known stochastic properties by neglecting these uncertainties may not lead to very useful probabilistic measures in a design process. In this paper we assume the stochastic properties of a random variable as uncertain quantities caused by so-called epistemic uncertainties. Instead of predefined distribution types we use the maximum entropy distribution which enables the description of a wide range of distribution functions based on the first four stochastic moments. These moments are taken again as random variables to model the epistemic scatter in the stochastic assumptions. The main point of this paper is the discussion on the estimation of these uncertain stochastic properties based on inaccurate measurements. We investigate the bootstrap algorithm for its applicability to quantify the uncertainties in the stochastic properties considering imprecise measurement data. Based on the obtained estimates we apply standard stochastic analysis on a simple example to demonstrate the difference and the necessity of the proposed approach.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  series = {International Journal for Numerical and Analytical Methods in Geomechanics},
  journal   = {International Journal for Numerical and Analytical Methods in Geomechanics},
  pages     = {285 -- 305},
  abstract  = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  series = {Engineering Analysis with Boundary Elements},
  journal   = {Engineering Analysis with Boundary Elements},
  pages     = {461 -- 470},
  abstract  = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {219 -- 229},
  abstract  = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  series = {International Journal of Reliability and Safety},
  journal   = {International Journal of Reliability and Safety},
  pages     = {168 -- 187},
  abstract  = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions},
  series = {Structural Engineering and Mechanics},
  journal   = {Structural Engineering and Mechanics},
  pages     = {315 -- 332},
  abstract  = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucherSchorling,
  author    = {Most, Thomas and Bucher, Christian and Schorling, York},
  title     = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  pages     = {381 -- 400},
  abstract  = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading},
  subject      = {Angewandte Mathematik},
  language  = {en}
}