# Nils Viebahn

## M. Sc. Nils Viebahn

## Research

- „Reliable simulation techniques in solid mechanics. Development of non-standard discretization methods, mechanical and mathematical analysis.“, SPP 1748

- Development of new finite element formulations as a suitable basis for the stable calculation of complex materials in nonlinear applications.

## Career

2013 |
Study abroad at University of California, Berkeley |

2012-2014 |
Master, Computational Mechanics, Universität Duisburg Essen |

2009-2012 |
Bachelor, Bauingenieurwesen, Universität Duisburg Essen |

2008-2009 |
Community service |

2008 |
Abitur, Don Bosco Gymnasium, Essen |

## Publications

Viebahn N, Schröder J and Wriggers P (2018), "Application of assumed stress finite elements in hyperelasticity", In Report of the Workshop 48 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Engineering'', organized by O. Allix, A. Buffa, C. Carstensen, J. Schröder.
[BibTeX] |

BibTeX:
@inproceedings{VieSchWri:2018:aoa, author = {Viebahn, N. and Schröder, J. and Wriggers, P.}, title = {Application of assumed stress finite elements in hyperelasticity}, booktitle = {Report of the Workshop 48 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Engineering'', organized by O. Allix, A. Buffa, C. Carstensen, J. Schröder}, year = {2018} } |

Viebahn N, Steeger K and Schröder J (2018), "A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity", Computer Methods in Applied Mechanics and Engineering. Vol. 340, pp. 278-295.
[BibTeX] |

BibTeX:
@article{VieSteSch:2018:asa, author = {Viebahn, N. and Steeger, K. and Schröder, J.}, title = {A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2018}, volume = {340}, pages = {278--295} } |

Viebahn N, Steeger K and Schröder J (2018), "On the construction of a triangular Mixed Finite Element based on the principle of Hellinger-Reissner", Proceedings in Applied Mathematics and Mechanics. Vol. 18, pp. e201800116 (2 pages).
[BibTeX] |

BibTeX:
@article{VieSteSch:2018:otc, author = {Viebahn, N. and Steeger, K. and Schröder, J.}, title = {On the construction of a triangular Mixed Finite Element based on the principle of Hellinger-Reissner}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2018}, volume = {18}, pages = {e201800116 (2 pages)} } |

Schröder J, Viebahn N, Wriggers P, Auricchio F and Steeger K (2017), "On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations", Computational Mechanics. Vol. 60(3), pp. 479-492.
[BibTeX] |

BibTeX:
@article{SchVieWriAurSte:2017:ots, author = {Schröder, J. and Viebahn, N. and Wriggers, P. and Auricchio, F. and Steeger, K.}, title = {On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations}, journal = {Computational Mechanics}, year = {2017}, volume = {60}, number = {3}, pages = {479--492} } |

Viebahn N, Pimenta P and Schröder J (2017), "A simple triangular finite element for nonlinear thin shells - Statics, Dynamics and anisotropy", Computational Mechanics. Vol. 59(2), pp. 281-297.
[BibTeX] |

BibTeX:
@article{ViePimSch:2017:ast, author = {N. Viebahn and P.M. Pimenta and J. Schröder}, title = {A simple triangular finite element for nonlinear thin shells - Statics, Dynamics and anisotropy}, journal = {Computational Mechanics}, year = {2017}, volume = {59}, number = {2}, pages = {281--297} } |

Schröder J, Viebahn N, Balzani D and Wriggers P (2016), "A novel mixed finite element for finite anisotropic elasticity; the SKA-element-Simplified Kinematics for Anisotropy", Computer Methods in Applied Mechanics and Engineering. Vol. 310, pp. 475-494.
[BibTeX] |

BibTeX:
@article{SchVieBalWri:2016:anm, author = {J. Schröder and N. Viebahn and D. Balzani and P. Wriggers}, title = {A novel mixed finite element for finite anisotropic elasticity; the SKA-element-Simplified Kinematics for Anisotropy}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {310}, pages = {475--494} } |

Viebahn N, Schröder J, Wriggers P and Balzani D (2016), "Notes on a novel finite element for anisotropy at large strains", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 247-248.
[BibTeX] |

BibTeX:
@article{VieSchWriBal:16:noa, author = {N. Viebahn and J. Schröder and P. Wriggers and D. Balzani}, title = {Notes on a novel finite element for anisotropy at large strains}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2016}, volume = {16}, pages = {247-248} } |

Schröder J, Viebahn N, Wriggers P and Balzani D (2015), "A novel mixed finite element for anisotropy - Basic Ideas", In Report of the Workshop 43 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Engineering'', organized by S. Brenner, C. Carstensen, L. Demkowicz, P. Wriggers.
[BibTeX] |

BibTeX:
@inproceedings{SchVieWriBal:2015:anm, author = {Schröder, J. and Viebahn, N. and Wriggers, P. and Balzani, D.}, title = {A novel mixed finite element for anisotropy - Basic Ideas}, booktitle = {Report of the Workshop 43 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Engineering'', organized by S. Brenner, C. Carstensen, L. Demkowicz, P. Wriggers}, year = {2015} } |