# 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

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 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} } 
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## Nils Viebahn, M. Sc.

Tel.: +49(0)201/183-68 54
Fax: +49(0)201/183-2680

Raum: V15 S06 D97

Archive of the Oberwolfach Research Institute for Mathematics