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Konferenzveröffentlichung
The logarithmic finite element method
Abstract
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.
a transformation of the initial configuration that is not restricted to an isoparametric formulation.
Citation
@inproceedings{doi:10.17170/kobra-202102173280,
author={Wackerfuß, Jens and Schröppel, Christian},
title={The logarithmic finite element method},
booktitle={Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) - ECCM 6, 7th European Conference on Computational Fluid Dynamics - ECFD 7 : Glasgow, Scotland, UK, June 11-15, 2018},
year={2018}
}
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1100 2018$n2018
1500 1/eng
2050 ##0##http://hdl.handle.net/123456789/12532
3000 Wackerfuß, Jens
3010 Schröppel, Christian
4000 The logarithmic finite element method / Wackerfuß, Jens
4030
4060 Online-Ressource
4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/12532=x R
4204 \$dKonferenzveröffentlichung
4170
5550 {{Finite-Elemente-Methode}}
5550 {{Rotation <Drehung>}}
5550 {{Nichtlineare Finite-Elemente-Methode}}
5550 {{Deformation <Mathematik>}}
7136 ##0##http://hdl.handle.net/123456789/12532
<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2021-02-19T09:44:45Z 2021-02-19T09:44:45Z 2018 doi:10.17170/kobra-202102173280 http://hdl.handle.net/123456789/12532 eng International Center for Numerical Methods in Engineering (CIMNE) Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ Logarithmic finite element method Ritz-Galerkin method Geometrically exact beam Finite rotations Lie group theory 620 The logarithmic finite element method Konferenzveröffentlichung 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. open access Wackerfuß, Jens Schröppel, Christian 2549-2560 Barcelona, Spain Finite-Elemente-Methode Rotation <Drehung> Nichtlineare Finite-Elemente-Methode Deformation <Mathematik> publishedVersion 2018-06-11/15 Glasgow, Scotland, UK Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) - ECCM 6, 7th European Conference on Computational Fluid Dynamics - ECFD 7 : Glasgow, Scotland, UK, June 11-15, 2018 Owen, Roger Borst, René Reese, Jason Pearce, Chris ISBN 9788494731167 false European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM) 6; European Conference on Computational Fluid Dynamics (ECFD) 7 </resource>
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