[{"department":[{"_id":"101"}],"user_id":"47427","_id":"8759","language":[{"iso":"eng"}],"publication":"Procedia Technology","type":"conference","status":"public","abstract":[{"lang":"eng","text":"In a wide range of applications, it is desirable to optimally control a system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a single optimal solution, the set of optimal compromises, the so-called Pareto set, has to be approximated. When it is not possible to compute the entire control trajectory in advance, for instance due to uncertainties or unforeseeable events, model predictive control methods can be applied to control the system during operation in real time. In this article, we present an algorithm for the solution of multiobjective model predictive control problems. In an offline scenario, it can be used to compute the entire set of optimal compromises whereas in a real time scenario, one optimal compromise is computed according to an operator's preference. The results are illustrated using the example of an industrial laundry. A logistics model of the laundry is developed and then utilized in the optimization routine. Results are presented for an offline as well as an online scenario."}],"author":[{"first_name":"Sebastian","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X","full_name":"Peitz, Sebastian","id":"47427"},{"full_name":"Gräler, Manuel","last_name":"Gräler","first_name":"Manuel"},{"first_name":"Christian","last_name":"Henke","full_name":"Henke, Christian"},{"full_name":"Molo, Mirko Hessel-von","last_name":"Molo","first_name":"Mirko Hessel-von"},{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"},{"full_name":"Trächtler, Ansgar","last_name":"Trächtler","first_name":"Ansgar"}],"date_created":"2019-03-29T13:35:59Z","date_updated":"2022-01-06T07:04:00Z","doi":"10.1016/j.protcy.2016.08.061","title":"Multiobjective Model Predictive Control of an Industrial Laundry","publication_identifier":{"issn":["2212-0173"]},"publication_status":"published","page":"483-490","citation":{"ama":"Peitz S, Gräler M, Henke C, Molo MH, Dellnitz M, Trächtler A. Multiobjective Model Predictive Control of an Industrial Laundry. In: <i>Procedia Technology</i>. ; 2016:483-490. doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.061\">10.1016/j.protcy.2016.08.061</a>","chicago":"Peitz, Sebastian, Manuel Gräler, Christian Henke, Mirko Hessel-von Molo, Michael Dellnitz, and Ansgar Trächtler. “Multiobjective Model Predictive Control of an Industrial Laundry.” In <i>Procedia Technology</i>, 483–90, 2016. <a href=\"https://doi.org/10.1016/j.protcy.2016.08.061\">https://doi.org/10.1016/j.protcy.2016.08.061</a>.","ieee":"S. Peitz, M. Gräler, C. Henke, M. H. Molo, M. Dellnitz, and A. Trächtler, “Multiobjective Model Predictive Control of an Industrial Laundry,” in <i>Procedia Technology</i>, 2016, pp. 483–490.","bibtex":"@inproceedings{Peitz_Gräler_Henke_Molo_Dellnitz_Trächtler_2016, title={Multiobjective Model Predictive Control of an Industrial Laundry}, DOI={<a href=\"https://doi.org/10.1016/j.protcy.2016.08.061\">10.1016/j.protcy.2016.08.061</a>}, booktitle={Procedia Technology}, author={Peitz, Sebastian and Gräler, Manuel and Henke, Christian and Molo, Mirko Hessel-von and Dellnitz, Michael and Trächtler, Ansgar}, year={2016}, pages={483–490} }","short":"S. Peitz, M. Gräler, C. Henke, M.H. Molo, M. Dellnitz, A. Trächtler, in: Procedia Technology, 2016, pp. 483–490.","mla":"Peitz, Sebastian, et al. “Multiobjective Model Predictive Control of an Industrial Laundry.” <i>Procedia Technology</i>, 2016, pp. 483–90, doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.061\">10.1016/j.protcy.2016.08.061</a>.","apa":"Peitz, S., Gräler, M., Henke, C., Molo, M. H., Dellnitz, M., &#38; Trächtler, A. (2016). Multiobjective Model Predictive Control of an Industrial Laundry. In <i>Procedia Technology</i> (pp. 483–490). <a href=\"https://doi.org/10.1016/j.protcy.2016.08.061\">https://doi.org/10.1016/j.protcy.2016.08.061</a>"},"year":"2016"},{"date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-16T05:37:11Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Julian","full_name":"Eckstein, Julian","last_name":"Eckstein"},{"last_name":"Flaßkamp","full_name":"Flaßkamp, Kathrin","first_name":"Kathrin"},{"first_name":"Patrick","last_name":"Friedel","full_name":"Friedel, Patrick"},{"full_name":"Horenkamp, Christian","last_name":"Horenkamp","first_name":"Christian"},{"first_name":"Ulrich","full_name":"Köhler, Ulrich","last_name":"Köhler"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"first_name":"Sebastian","last_name":"Peitz","full_name":"Peitz, Sebastian"},{"first_name":"Sebastian","full_name":"Tiemeyer, Sebastian","last_name":"Tiemeyer"}],"title":"Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control","doi":"10.1007/978-3-319-23413-7_87","publication_status":"published","publication_identifier":{"issn":["1612-3956","2198-3283"],"isbn":["9783319234120","9783319234137"]},"place":"Cham","year":"2016","citation":{"chicago":"Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In <i>Mathematics in Industry</i>. Cham, 2016. <a href=\"https://doi.org/10.1007/978-3-319-23413-7_87\">https://doi.org/10.1007/978-3-319-23413-7_87</a>.","ieee":"M. Dellnitz <i>et al.</i>, “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in <i>Mathematics in Industry</i>, Cham, 2016.","ama":"Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In: <i>Mathematics in Industry</i>. Cham; 2016. doi:<a href=\"https://doi.org/10.1007/978-3-319-23413-7_87\">10.1007/978-3-319-23413-7_87</a>","apa":"Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In <i>Mathematics in Industry</i>. Cham. <a href=\"https://doi.org/10.1007/978-3-319-23413-7_87\">https://doi.org/10.1007/978-3-319-23413-7_87</a>","short":"M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Mathematics in Industry, Cham, 2016.","mla":"Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” <i>Mathematics in Industry</i>, 2016, doi:<a href=\"https://doi.org/10.1007/978-3-319-23413-7_87\">10.1007/978-3-319-23413-7_87</a>.","bibtex":"@inbook{Dellnitz_Eckstein_Flaßkamp_Friedel_Horenkamp_Köhler_Ober-Blöbaum_Peitz_Tiemeyer_2016, place={Cham}, title={Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-23413-7_87\">10.1007/978-3-319-23413-7_87</a>}, booktitle={Mathematics in Industry}, author={Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}, year={2016} }"},"_id":"16579","user_id":"15701","department":[{"_id":"101"}],"language":[{"iso":"eng"}],"type":"book_chapter","publication":"Mathematics in Industry","status":"public"},{"publication_identifier":{"issn":["2158-2491"]},"publication_status":"published","page":"5-5","citation":{"apa":"Ziessler, A., Molo, M. H.-V., &#38; Dellnitz, M. (2016). On the computation of attractors for delay differential equations. <i>Journal of Computational Dynamics</i>, 5–5. <a href=\"https://doi.org/10.3934/jcd.2016005\">https://doi.org/10.3934/jcd.2016005</a>","bibtex":"@article{Ziessler_Molo_Dellnitz_2016, title={On the computation of attractors for delay differential equations}, DOI={<a href=\"https://doi.org/10.3934/jcd.2016005\">10.3934/jcd.2016005</a>}, journal={Journal of Computational Dynamics}, author={Ziessler, Adrian and Molo, Mirko Hessel-Von and Dellnitz, Michael}, year={2016}, pages={5–5} }","short":"A. Ziessler, M.H.-V. Molo, M. Dellnitz, Journal of Computational Dynamics (2016) 5–5.","mla":"Ziessler, Adrian, et al. “On the Computation of Attractors for Delay Differential Equations.” <i>Journal of Computational Dynamics</i>, 2016, pp. 5–5, doi:<a href=\"https://doi.org/10.3934/jcd.2016005\">10.3934/jcd.2016005</a>.","ama":"Ziessler A, Molo MH-V, Dellnitz M. On the computation of attractors for delay differential equations. <i>Journal of Computational Dynamics</i>. 2016:5-5. doi:<a href=\"https://doi.org/10.3934/jcd.2016005\">10.3934/jcd.2016005</a>","ieee":"A. Ziessler, M. H.-V. Molo, and M. Dellnitz, “On the computation of attractors for delay differential equations,” <i>Journal of Computational Dynamics</i>, pp. 5–5, 2016.","chicago":"Ziessler, Adrian, Mirko Hessel-Von Molo, and Michael Dellnitz. “On the Computation of Attractors for Delay Differential Equations.” <i>Journal of Computational Dynamics</i>, 2016, 5–5. <a href=\"https://doi.org/10.3934/jcd.2016005\">https://doi.org/10.3934/jcd.2016005</a>."},"year":"2016","date_created":"2020-04-16T05:38:13Z","author":[{"first_name":"Adrian","full_name":"Ziessler, Adrian","last_name":"Ziessler"},{"first_name":"Mirko Hessel-Von","full_name":"Molo, Mirko Hessel-Von","last_name":"Molo"},{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.3934/jcd.2016005","title":"On the computation of attractors for delay differential equations","publication":"Journal of Computational Dynamics","type":"journal_article","status":"public","department":[{"_id":"101"}],"user_id":"15701","_id":"16580","language":[{"iso":"eng"}]},{"_id":"8758","department":[{"_id":"101"}],"user_id":"15694","language":[{"iso":"eng"}],"publication":"Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering","type":"conference","abstract":[{"lang":"eng","text":"In this contribution we compare two different approaches to the implementation of a Model Predictive Controller in an electric vehicle with respect to the quality of the solution and real-time applicability. The goal is to develop an intelligent cruise control in order to extend the vehicle range, i.e. to minimize energy consumption, by computing the optimal torque profile for a given track. On the one hand, a path-based linear model with strong simplifications regarding the vehicle dynamics is used. On the other hand, a nonlinear model is employed in which the dynamics of the mechanical and electrical subsystem are modeled."}],"status":"public","date_updated":"2022-01-21T14:10:10Z","volume":26,"date_created":"2019-03-29T13:35:25Z","author":[{"last_name":"Eckstein","full_name":"Eckstein, Julian","first_name":"Julian"},{"last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X","id":"47427","full_name":"Peitz, Sebastian","first_name":"Sebastian"},{"last_name":"Schäfer","full_name":"Schäfer, Kai","first_name":"Kai"},{"first_name":"Patrick","last_name":"Friedel","full_name":"Friedel, Patrick"},{"first_name":"Ulrich","last_name":"Köhler","full_name":"Köhler, Ulrich"},{"first_name":"Mirko ","full_name":"Hessel von Molo, Mirko ","last_name":"Hessel von Molo"},{"last_name":"Ober-Blöbaum","id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"}],"title":"A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles","doi":"10.1016/j.protcy.2016.08.059","publication_identifier":{"issn":["2212-0173"]},"publication_status":"published","year":"2016","page":"465-472","intvolume":"        26","citation":{"ama":"Eckstein J, Peitz S, Schäfer K, et al. A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. In: <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>. Vol 26. ; 2016:465-472. doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>","ieee":"J. Eckstein <i>et al.</i>, “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,” in <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, 2016, vol. 26, pp. 465–472, doi: <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>.","chicago":"Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirko  Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” In <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, 26:465–72, 2016. <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">https://doi.org/10.1016/j.protcy.2016.08.059</a>.","apa":"Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., &#38; Dellnitz, M. (2016). A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, <i>26</i>, 465–472. <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">https://doi.org/10.1016/j.protcy.2016.08.059</a>","short":"J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, pp. 465–472.","bibtex":"@inproceedings{Eckstein_Peitz_Schäfer_Friedel_Köhler_Hessel von Molo_Ober-Blöbaum_Dellnitz_2016, title={A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}, volume={26}, DOI={<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>}, booktitle={Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}, author={Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko  and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2016}, pages={465–472} }","mla":"Eckstein, Julian, et al. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, vol. 26, 2016, pp. 465–72, doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>."}},{"publication":"PAMM","type":"journal_article","abstract":[{"text":"In this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100.","lang":"eng"}],"status":"public","_id":"1774","department":[{"_id":"27"},{"_id":"101"}],"user_id":"24135","publication_identifier":{"issn":["1617-7061"]},"issue":"1","year":"2015","page":"613-614","intvolume":"        15","citation":{"ieee":"S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” <i>PAMM</i>, vol. 15, no. 1, pp. 613–614, 2015.","chicago":"Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” <i>PAMM</i> 15, no. 1 (2015): 613–14. <a href=\"https://doi.org/10.1002/pamm.201510296\">https://doi.org/10.1002/pamm.201510296</a>.","ama":"Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. <i>PAMM</i>. 2015;15(1):613-614. doi:<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>","apa":"Peitz, S., &#38; Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. <i>PAMM</i>, <i>15</i>(1), 613–614. <a href=\"https://doi.org/10.1002/pamm.201510296\">https://doi.org/10.1002/pamm.201510296</a>","mla":"Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” <i>PAMM</i>, vol. 15, no. 1, WILEY-VCH Verlag, 2015, pp. 613–14, doi:<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>.","bibtex":"@article{Peitz_Dellnitz_2015, title={Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}, volume={15}, DOI={<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>}, number={1}, journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2015}, pages={613–614} }","short":"S. Peitz, M. Dellnitz, PAMM 15 (2015) 613–614."},"date_updated":"2022-01-06T06:53:19Z","publisher":"WILEY-VCH Verlag","volume":15,"date_created":"2018-03-23T14:14:24Z","author":[{"full_name":"Peitz, Sebastian","last_name":"Peitz","first_name":"Sebastian"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"title":"Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction","doi":"10.1002/pamm.201510296"},{"type":"conference","publication":"PAMM","abstract":[{"lang":"eng","text":"n this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100."}],"status":"public","_id":"8760","user_id":"47427","department":[{"_id":"101"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1617-7061"]},"year":"2015","citation":{"ama":"Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In: <i>PAMM</i>. ; 2015:613-614. doi:<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>","chicago":"Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” In <i>PAMM</i>, 613–14, 2015. <a href=\"https://doi.org/10.1002/pamm.201510296\">https://doi.org/10.1002/pamm.201510296</a>.","ieee":"S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” in <i>PAMM</i>, 2015, pp. 613–614.","apa":"Peitz, S., &#38; Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In <i>PAMM</i> (pp. 613–614). <a href=\"https://doi.org/10.1002/pamm.201510296\">https://doi.org/10.1002/pamm.201510296</a>","mla":"Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” <i>PAMM</i>, 2015, pp. 613–14, doi:<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>.","short":"S. Peitz, M. Dellnitz, in: PAMM, 2015, pp. 613–614.","bibtex":"@inproceedings{Peitz_Dellnitz_2015, title={Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}, DOI={<a href=\"https://doi.org/10.1002/pamm.201510296\">10.1002/pamm.201510296</a>}, booktitle={PAMM}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2015}, pages={613–614} }"},"page":"613-614","date_updated":"2022-01-06T07:04:00Z","date_created":"2019-03-29T13:36:33Z","author":[{"first_name":"Sebastian","full_name":"Peitz, Sebastian","id":"47427","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X"},{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"}],"title":"Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction","doi":"10.1002/pamm.201510296"},{"language":[{"iso":"eng"}],"_id":"16582","department":[{"_id":"101"}],"user_id":"15701","status":"public","publication":"Numerische Mathematik","type":"journal_article","title":"Discrete variational Lie group formulation of geometrically exact beam dynamics","doi":"10.1007/s00211-014-0659-4","date_updated":"2022-01-06T06:52:52Z","author":[{"first_name":"F.","full_name":"Demoures, F.","last_name":"Demoures"},{"first_name":"F.","full_name":"Gay-Balmaz, F.","last_name":"Gay-Balmaz"},{"first_name":"S.","full_name":"Leyendecker, S.","last_name":"Leyendecker"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, S.","first_name":"S."},{"first_name":"T. S.","full_name":"Ratiu, T. S.","last_name":"Ratiu"},{"first_name":"Y.","last_name":"Weinand","full_name":"Weinand, Y."}],"date_created":"2020-04-16T05:40:13Z","year":"2015","page":"73-123","citation":{"apa":"Demoures, F., Gay-Balmaz, F., Leyendecker, S., Ober-Blöbaum, S., Ratiu, T. S., &#38; Weinand, Y. (2015). Discrete variational Lie group formulation of geometrically exact beam dynamics. <i>Numerische Mathematik</i>, 73–123. <a href=\"https://doi.org/10.1007/s00211-014-0659-4\">https://doi.org/10.1007/s00211-014-0659-4</a>","mla":"Demoures, F., et al. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” <i>Numerische Mathematik</i>, 2015, pp. 73–123, doi:<a href=\"https://doi.org/10.1007/s00211-014-0659-4\">10.1007/s00211-014-0659-4</a>.","short":"F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, Y. Weinand, Numerische Mathematik (2015) 73–123.","bibtex":"@article{Demoures_Gay-Balmaz_Leyendecker_Ober-Blöbaum_Ratiu_Weinand_2015, title={Discrete variational Lie group formulation of geometrically exact beam dynamics}, DOI={<a href=\"https://doi.org/10.1007/s00211-014-0659-4\">10.1007/s00211-014-0659-4</a>}, journal={Numerische Mathematik}, author={Demoures, F. and Gay-Balmaz, F. and Leyendecker, S. and Ober-Blöbaum, S. and Ratiu, T. S. and Weinand, Y.}, year={2015}, pages={73–123} }","chicago":"Demoures, F., F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” <i>Numerische Mathematik</i>, 2015, 73–123. <a href=\"https://doi.org/10.1007/s00211-014-0659-4\">https://doi.org/10.1007/s00211-014-0659-4</a>.","ieee":"F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand, “Discrete variational Lie group formulation of geometrically exact beam dynamics,” <i>Numerische Mathematik</i>, pp. 73–123, 2015.","ama":"Demoures F, Gay-Balmaz F, Leyendecker S, Ober-Blöbaum S, Ratiu TS, Weinand Y. 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