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The logarithmic finite element method

Wackerfuß, Jens
Schröppel, Christian

The Logarithmic finite element (LogFE) method extends the Ritz-Galerkin method to approximations on a non-linear finite-dimensional manifold in the infinitedimensional solution space. Formulating the interpolant on the logarithmic space allows for a novel treatment of the rotational component of the deformation, and induces a strong coupling between rotations and translations. The Logarithmic finite element method provides a transformation of the initial configuration that is not restricted to an isoparametric formulation.

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@inproceedings{doi:10.17170/kobra-202102173280,
  author    ={Wackerfuß, Jens and Schröppel, Christian},
  keywords ={620 and Finite-Elemente-Methode and Rotation  and Nichtlineare Finite-Elemente-Methode and Deformation },
  title    ={The logarithmic finite element method},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  year   ={2018}
}