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Tapley, Journal of Computational Dynamics 6 (2019) 111–130.","bibtex":"@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of PDEs using Clebsch variables}, volume={6}, DOI={10.3934/jcd.2019005}, number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian and Tapley, Benjamin K}, year={2019}, pages={111–130} }","mla":"McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics, vol. 6, no. 1, American Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:10.3934/jcd.2019005.","apa":"McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005","ama":"McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005","chicago":"McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005."},"type":"journal_article","year":"2019","extern":"1","abstract":[{"lang":"eng","text":"Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations, …) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifolds equipped with Poisson brackets. The Poisson structure is connected to conservation properties and other geometric features of solutions to the PDE and, therefore, of great interest for numerical integration. For the example of Burgers' equations and related PDEs we use Clebsch variables to lift the original system to a collective Hamiltonian system on a symplectic manifold whose structure is related to the original Lie-Poisson structure. On the collective Hamiltonian system a symplectic integrator can be applied. Our numerical examples show excellent conservation properties and indicate that the disadvantage of an increased phase-space dimension can be outweighed by the advantage of symplectic integration."}],"article_type":"original","user_id":"85279","publication":"Journal of Computational Dynamics","publisher":"American Institute of Mathematical Sciences (AIMS)","author":[{"last_name":"McLachlan","full_name":"McLachlan, Robert I","first_name":"Robert I"},{"orcid":"https://orcid.org/0000-0002-5940-8057","full_name":"Offen, Christian","first_name":"Christian","id":"85279","last_name":"Offen"},{"last_name":"Tapley","full_name":"Tapley, Benjamin K","first_name":"Benjamin K"}],"volume":6,"date_created":"2020-10-06T16:44:07Z","status":"public","date_updated":"2022-01-06T06:54:15Z","doi":"10.3934/jcd.2019005","oa":"1","language":[{"iso":"eng"}],"title":"Symplectic integration of PDEs using Clebsch variables","department":[{"_id":"636"}],"publication_identifier":{"issn":["2158-2505"]}},{"title":"Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load","user_id":"23175","status":"public","date_created":"2020-10-13T08:39:32Z","author":[{"last_name":"Sander","id":"23175","first_name":"Sascha","full_name":"Sander, Sascha"},{"first_name":"Gerson","orcid":"0000-0002-2763-1246","full_name":"Meschut, Gerson","last_name":"Meschut","id":"32056"},{"last_name":"Teutenberg","id":"537","first_name":"Dominik","full_name":"Teutenberg, Dominik"}],"department":[{"_id":"157"}],"_id":"19985","date_updated":"2022-01-06T06:54:17Z","conference":{"location":"Hilton Head, South Carolina","start_date":"2019-02-17","name":"The Adhesion Society 42nd Annual Meeting","end_date":"2019-02-20"},"year":"2019","citation":{"apa":"Sander, S., Meschut, G., & Teutenberg, D. (2019). Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load. Presented at the The Adhesion Society 42nd Annual Meeting, Hilton Head, South Carolina.","ama":"Sander S, Meschut G, Teutenberg D. Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load. In: ; 2019.","chicago":"Sander, Sascha, Gerson Meschut, and Dominik Teutenberg. “Investigation of Long-Term Behavior of Adhesive Bonds under Combined Hygro-Thermo-Mechanical Load,” 2019.","mla":"Sander, Sascha, et al. Investigation of Long-Term Behavior of Adhesive Bonds under Combined Hygro-Thermo-Mechanical Load. 2019.","bibtex":"@inproceedings{Sander_Meschut_Teutenberg_2019, title={Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load}, author={Sander, Sascha and Meschut, Gerson and Teutenberg, Dominik}, year={2019} }","short":"S. Sander, G. Meschut, D. Teutenberg, in: 2019.","ieee":"S. Sander, G. Meschut, and D. Teutenberg, “Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load,” presented at the The Adhesion Society 42nd Annual Meeting, Hilton Head, South Carolina, 2019."},"type":"conference","language":[{"iso":"eng"}]},{"user_id":"23175","title":"Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung","author":[{"id":"23175","last_name":"Sander","full_name":"Sander, Sascha","first_name":"Sascha"},{"first_name":"Gerson","orcid":"0000-0002-2763-1246","full_name":"Meschut, Gerson","last_name":"Meschut","id":"32056"},{"last_name":"Teutenberg","id":"537","first_name":"Dominik","full_name":"Teutenberg, Dominik"}],"department":[{"_id":"157"}],"status":"public","date_created":"2020-10-13T08:42:08Z","publication_status":"submitted","_id":"19986","date_updated":"2022-01-06T06:54:17Z","conference":{"start_date":"2019-09-24","name":"10. Doktorandenseminar der Klebtechnik","location":"Kassel","end_date":"2019-09-25"},"language":[{"iso":"ger"}],"year":"2019","citation":{"mla":"Sander, Sascha, et al. Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung.","bibtex":"@inproceedings{Sander_Meschut_Teutenberg, title={Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung}, author={Sander, Sascha and Meschut, Gerson and Teutenberg, Dominik} }","apa":"Sander, S., Meschut, G., & Teutenberg, D. (n.d.). Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung. Presented at the 10. Doktorandenseminar der Klebtechnik, Kassel.","ama":"Sander S, Meschut G, Teutenberg D. Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung.","chicago":"Sander, Sascha, Gerson Meschut, and Dominik Teutenberg. “Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung,” n.d.","ieee":"S. Sander, G. Meschut, and D. Teutenberg, “Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung,” presented at the 10. Doktorandenseminar der Klebtechnik, Kassel.","short":"S. Sander, G. Meschut, D. Teutenberg, in: n.d."},"type":"conference"},{"corporate_editor":["DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V."],"conference":{"end_date":"2019-02-13","location":"Maternushaus Köln","name":"19. 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Kolloquium Gemeinsame Forschung in der Klebtechnik, edited by DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V., 2019.","chicago":"Sander, Sascha, Dominik Teutenberg, Gerson Meschut, Ulrich Kroll, and Anton Matzenmiller. “Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung.” In 19. Kolloquium Gemeinsame Forschung in der Klebtechnik, edited by DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V., 2019.","ama":"Sander S, Teutenberg D, Meschut G, Kroll U, Matzenmiller A. Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung. In: DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V., ed. 19. Kolloquium Gemeinsame Forschung in der Klebtechnik. ; 2019.","apa":"Sander, S., Teutenberg, D., Meschut, G., Kroll, U., & Matzenmiller, A. (2019). Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung. In DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V. (Ed.), 19. Kolloquium Gemeinsame Forschung in der Klebtechnik. Maternushaus Köln.","ieee":"S. Sander, D. Teutenberg, G. Meschut, U. Kroll, and A. Matzenmiller, “Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung,” in 19. Kolloquium Gemeinsame Forschung in der Klebtechnik, Maternushaus Köln, 2019.","short":"S. Sander, D. Teutenberg, G. Meschut, U. Kroll, A. Matzenmiller, in: DECHEMA, Gesellschaft für Chemische Technik und Biotechnologie e.V. (Ed.), 19. Kolloquium Gemeinsame Forschung in der Klebtechnik, 2019."},"year":"2019","type":"conference","user_id":"23175","title":"Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung","date_created":"2020-10-13T08:49:12Z","status":"public","department":[{"_id":"157"}],"publication":"19. 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Einbringen Selbststanzender Gewindeelemente Während Der Warmumformung von 22MnB5. 2019.","bibtex":"@inproceedings{Meyer_Meschut_Behrens_Hübner_Vogt_2019, title={Einbringen selbststanzender Gewindeelemente während der Warmumformung von 22MnB5}, author={Meyer, Sebastian and Meschut, Gerson and Behrens, Bernd-Arno and Hübner, Sven and Vogt, Hendrik}, year={2019} }","apa":"Meyer, S., Meschut, G., Behrens, B.-A., Hübner, S., & Vogt, H. (2019). Einbringen selbststanzender Gewindeelemente während der Warmumformung von 22MnB5.","ama":"Meyer S, Meschut G, Behrens B-A, Hübner S, Vogt H. Einbringen selbststanzender Gewindeelemente während der Warmumformung von 22MnB5. In: ; 2019.","chicago":"Meyer, Sebastian, Gerson Meschut, Bernd-Arno Behrens, Sven Hübner, and Hendrik Vogt. “Einbringen Selbststanzender Gewindeelemente Während Der Warmumformung von 22MnB5,” 2019.","ieee":"S. Meyer, G. Meschut, B.-A. Behrens, S. Hübner, and H. Vogt, “Einbringen selbststanzender Gewindeelemente während der Warmumformung von 22MnB5,” 2019.","short":"S. Meyer, G. Meschut, B.-A. Behrens, S. Hübner, H. Vogt, in: 2019."},"_id":"20144","date_updated":"2022-01-06T06:54:20Z"},{"conference":{"name":"9. Fügetechnisches Gemeinschaftskolloquium","start_date":"2019-12-03","location":"Braunschweig, Germany","end_date":"2019-12-04"},"date_updated":"2022-01-06T06:54:20Z","_id":"20147","series_title":"Tagungsband-Fachartikel Nr. 049_07","language":[{"iso":"ger"}],"page":"75-80","citation":{"short":"M. Otroshi, G. Meschut, L. Masendorf, A. Esderts, (2019) 75–80.","ieee":"M. Otroshi, G. Meschut, L. Masendorf, and A. Esderts, “Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile.” Europäische Forschungsgesellschaft für Blechverarbeitung e.V., pp. 75–80, 2019.","chicago":"Otroshi, Mortaza, Gerson Meschut, Lukas Masendorf, and Alfons Esderts. “Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile.” Tagungsband-Fachartikel Nr. 049_07. Europäische Forschungsgesellschaft für Blechverarbeitung e.V., 2019.","apa":"Otroshi, M., Meschut, G., Masendorf, L., & Esderts, A. (2019). Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile. Presented at the 9. Fügetechnisches Gemeinschaftskolloquium, Braunschweig, Germany: Europäische Forschungsgesellschaft für Blechverarbeitung e.V.","ama":"Otroshi M, Meschut G, Masendorf L, Esderts A. Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile. 2019:75-80.","bibtex":"@article{Otroshi_Meschut_Masendorf_Esderts_2019, series={Tagungsband-Fachartikel Nr. 049_07}, title={Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile}, publisher={Europäische Forschungsgesellschaft für Blechverarbeitung e.V.}, author={Otroshi, Mortaza and Meschut, Gerson and Masendorf, Lukas and Esderts, Alfons}, year={2019}, pages={75–80}, collection={Tagungsband-Fachartikel Nr. 049_07} }","mla":"Otroshi, Mortaza, et al. Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile. Europäische Forschungsgesellschaft für Blechverarbeitung e.V., 2019, pp. 75–80."},"year":"2019","type":"conference","user_id":"71269","title":"Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile","department":[{"_id":"157"}],"author":[{"first_name":"Mortaza","orcid":"0000-0002-8652-9209","full_name":"Otroshi, Mortaza","last_name":"Otroshi","id":"71269"},{"first_name":"Gerson","orcid":"0000-0002-2763-1246","full_name":"Meschut, Gerson","last_name":"Meschut","id":"32056"},{"first_name":"Lukas","full_name":"Masendorf, Lukas","last_name":"Masendorf"},{"last_name":"Esderts","first_name":"Alfons","full_name":"Esderts, Alfons"}],"publisher":"Europäische Forschungsgesellschaft für Blechverarbeitung e.V.","date_created":"2020-10-21T08:38:05Z","status":"public","publication_identifier":{"isbn":["978-3-86776-580-0"]},"publication_status":"published"},{"department":[{"_id":"157"}],"author":[{"last_name":"Masendorf","first_name":"Lukas","full_name":"Masendorf, Lukas"},{"first_name":"Michael","full_name":"Wächter, Michael","last_name":"Wächter"},{"last_name":"Esderts","full_name":"Esderts, Alfons","first_name":"Alfons"},{"full_name":"Horstmann, Stephan ","first_name":"Stephan ","last_name":"Horstmann"},{"first_name":"Mortaza","full_name":"Otroshi, Mortaza","orcid":"0000-0002-8652-9209","last_name":"Otroshi","id":"71269"},{"id":"32056","last_name":"Meschut","orcid":"0000-0002-2763-1246","full_name":"Meschut, Gerson","first_name":"Gerson"}],"publisher":"Deutsche Gesellschaft für Materialkunde e.V. (DGM)","publication_status":"published","publication_identifier":{"isbn":["9-783883-554181"]},"date_created":"2020-10-21T08:58:13Z","status":"public","title":"Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile","user_id":"71269","type":"conference","year":"2019","citation":{"short":"L. Masendorf, M. Wächter, A. Esderts, S. Horstmann, M. Otroshi, G. Meschut, in: Deutsche Gesellschaft für Materialkunde e.V. (DGM), 2019.","ieee":"L. Masendorf, M. Wächter, A. Esderts, S. Horstmann, M. Otroshi, and G. Meschut, “Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile,” presented at the Werkstoffe und Bauteile auf dem Prüfstand, Neu-Ulm, Germany, 2019.","chicago":"Masendorf, Lukas, Michael Wächter, Alfons Esderts, Stephan Horstmann, Mortaza Otroshi, and Gerson Meschut. “Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile.” Deutsche Gesellschaft für Materialkunde e.V. (DGM), 2019.","apa":"Masendorf, L., Wächter, M., Esderts, A., Horstmann, S., Otroshi, M., & Meschut, G. (2019). Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile. Presented at the Werkstoffe und Bauteile auf dem Prüfstand, Neu-Ulm, Germany: Deutsche Gesellschaft für Materialkunde e.V. (DGM).","ama":"Masendorf L, Wächter M, Esderts A, Horstmann S, Otroshi M, Meschut G. Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile. In: Deutsche Gesellschaft für Materialkunde e.V. (DGM); 2019.","mla":"Masendorf, Lukas, et al. Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile. Deutsche Gesellschaft für Materialkunde e.V. (DGM), 2019.","bibtex":"@inproceedings{Masendorf_Wächter_Esderts_Horstmann_Otroshi_Meschut_2019, title={Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile}, publisher={Deutsche Gesellschaft für Materialkunde e.V. (DGM)}, author={Masendorf, Lukas and Wächter, Michael and Esderts, Alfons and Horstmann, Stephan and Otroshi, Mortaza and Meschut, Gerson}, year={2019} }"},"language":[{"iso":"ger"}],"conference":{"start_date":"2019-12-03","name":"Werkstoffe und Bauteile auf dem Prüfstand","location":"Neu-Ulm, Germany","end_date":"2019-12-04"},"_id":"20149","date_updated":"2022-01-06T06:54:20Z"},{"department":[{"_id":"157"}],"author":[{"last_name":"Masendorf","full_name":"Masendorf, Lukas","first_name":"Lukas"},{"full_name":"Wächter, Michael","first_name":"Michael","last_name":"Wächter"},{"last_name":"Esderts","first_name":"Alfons","full_name":"Esderts, Alfons"},{"orcid":"0000-0002-8652-9209","full_name":"Otroshi, Mortaza","first_name":"Mortaza","id":"71269","last_name":"Otroshi"},{"first_name":"Stephan","full_name":"Horstmann, Stephan","last_name":"Horstmann"},{"orcid":"0000-0002-2763-1246","full_name":"Meschut, Gerson","first_name":"Gerson","id":"32056","last_name":"Meschut"}],"date_created":"2020-10-21T09:03:51Z","status":"public","publication_status":"published","user_id":"71269","title":"Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung","language":[{"iso":"ger"}],"type":"conference","citation":{"short":"L. Masendorf, M. Wächter, A. Esderts, M. Otroshi, S. Horstmann, G. Meschut, in: 2019.","ieee":"L. Masendorf, M. Wächter, A. Esderts, M. Otroshi, S. Horstmann, and G. Meschut, “Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung,” presented at the 37. CADFEM ANSYS Simulation Conference, Kassel, Germany, 2019.","chicago":"Masendorf, Lukas, Michael Wächter, Alfons Esderts, Mortaza Otroshi, Stephan Horstmann, and Gerson Meschut. “Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung,” 2019.","apa":"Masendorf, L., Wächter, M., Esderts, A., Otroshi, M., Horstmann, S., & Meschut, G. (2019). Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung. Presented at the 37. CADFEM ANSYS Simulation Conference, Kassel, Germany.","ama":"Masendorf L, Wächter M, Esderts A, Otroshi M, Horstmann S, Meschut G. Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung. In: ; 2019.","bibtex":"@inproceedings{Masendorf_Wächter_Esderts_Otroshi_Horstmann_Meschut_2019, title={Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung}, author={Masendorf, Lukas and Wächter, Michael and Esderts, Alfons and Otroshi, Mortaza and Horstmann, Stephan and Meschut, Gerson}, year={2019} }","mla":"Masendorf, Lukas, et al. Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung. 2019."},"year":"2019","conference":{"name":"37. 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Dross, P. Heyser, A. Huerkamp, J. Beuscher, K. Dröder, and G. Meschut, “Increasing the strength of mechanically joined connections of metal and fiber-reinforced plastics using a structured auxiliary joining element,” in ICCM22 Proceedings, Melbourne , 2019.","short":"M. Dross, P. Heyser, A. Huerkamp, J. Beuscher, K. Dröder, G. 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Müller, R. Hörhold, Gerson Meschut, and M. Merklein. “Fundamental Mechanisms and Their Interactions in Shear‐clinching Technology and Investigation of the Process Robustness.” Materialwissenschaft Und Werkstofftechnik, 2019, 987–1005. https://doi.org/10.1002/mawe.201900030.","ama":"Wiesenmayer S, Han D, Müller M, Hörhold R, Meschut G, Merklein M. Fundamental mechanisms and their interactions in shear‐clinching technology and investigation of the process robustness. Materialwissenschaft und Werkstofftechnik. 2019:987-1005. doi:10.1002/mawe.201900030","apa":"Wiesenmayer, S., Han, D., Müller, M., Hörhold, R., Meschut, G., & Merklein, M. (2019). Fundamental mechanisms and their interactions in shear‐clinching technology and investigation of the process robustness. 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