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Beyond Ritz-Galerkin: Finite element approximations on a manifold in the configuration space [Abstract]

Wackerfuß, Jens
Schröppel, Christian

An extension of the Ritz-Galerkin method, based on finding approximations on a finite-dimensional manifold of functions (i.e., not a linear subspace) in the infinite-dimensional exact configuration space, will be presented. This new approach is particularly efficient in computing geometrically exact solutions for problems involving large rotations.

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European Congress on Computational Methods in Applied Sciences and Engineering ; 7; 2016; Crete Island; ECCOMAS Congress ; 7; 2016; Crete Island,2016-06-05/10,Kreta, Griechenland
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@inproceedings{doi:10.17170/kobra-202102183294,
  author    ={Wackerfuß, Jens and Schröppel, Christian},
  keywords ={620 and Rotation  and Galerkin-Methode and Finite-Elemente-Methode},
  title    ={Beyond Ritz-Galerkin: Finite element approximations on a manifold in the configuration space [Abstract]},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  year   ={2016}
}