@article{19945, abstract = {{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.}}, author = {{McLachlan, Robert I and Offen, Christian and Tapley, Benjamin K}}, issn = {{2158-2505}}, journal = {{Journal of Computational Dynamics}}, number = {{1}}, pages = {{111--130}}, publisher = {{American Institute of Mathematical Sciences (AIMS)}}, title = {{{Symplectic integration of PDEs using Clebsch variables}}}, doi = {{10.3934/jcd.2019005}}, volume = {{6}}, year = {{2019}}, } @inproceedings{19985, author = {{Sander, Sascha and Meschut, Gerson and Teutenberg, Dominik}}, location = {{Hilton Head, South Carolina}}, title = {{{Investigation of long-term behavior of adhesive bonds under combined hygro-thermo-mechanical load}}}, year = {{2019}}, } @inproceedings{19986, author = {{Sander, Sascha and Meschut, Gerson and Teutenberg, Dominik}}, location = {{Kassel}}, title = {{{Untersuchung des Diffusions- und Kurzzeitverhaltens von Klebverbindungen unter kombinierter hygro-thermo-mechanischer Beanspruchung}}}, year = {{2019}}, } @inproceedings{19987, author = {{Sander, Sascha and Teutenberg, Dominik and Meschut, Gerson and Kroll, Ulrich and Matzenmiller, Anton}}, booktitle = {{19. Kolloquium Gemeinsame Forschung in der Klebtechnik}}, location = {{Maternushaus Köln}}, title = {{{Methodenentwicklung zur Langzeitprognose von Klebverbindungen bei kombinierter Temperatur- und Medieneinwirkung}}}, year = {{2019}}, } @inproceedings{20144, author = {{Meyer, Sebastian and Meschut, Gerson and Behrens, Bernd-Arno and Hübner, Sven and Vogt, Hendrik}}, title = {{{Einbringen selbststanzender Gewindeelemente während der Warmumformung von 22MnB5}}}, year = {{2019}}, } @inproceedings{20147, author = {{Otroshi, Mortaza and Meschut, Gerson and Masendorf, Lukas and Esderts, Alfons}}, isbn = {{978-3-86776-580-0}}, location = {{Braunschweig, Germany}}, pages = {{75--80}}, publisher = {{Europäische Forschungsgesellschaft für Blechverarbeitung e.V.}}, title = {{{Simulationsbasierte Betriebsfestigkeitsanalyse stanzgenieteter Bauteile}}}, year = {{2019}}, } @inproceedings{20149, author = {{Masendorf, Lukas and Wächter, Michael and Esderts, Alfons and Horstmann, Stephan and Otroshi, Mortaza and Meschut, Gerson}}, isbn = {{9-783883-554181}}, location = {{Neu-Ulm, Germany}}, publisher = {{Deutsche Gesellschaft für Materialkunde e.V. (DGM)}}, title = {{{Experimentelle Ermittlung von Eingangsdaten für eine simulationsbasierte Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile}}}, year = {{2019}}, } @inproceedings{20152, author = {{Masendorf, Lukas and Wächter, Michael and Esderts, Alfons and Otroshi, Mortaza and Horstmann, Stephan and Meschut, Gerson}}, location = {{Kassel, Germany}}, title = {{{Erstellung eines Simulationsmodells für die Lebensdauerabschätzung halbhohlstanzgenieteter Bauteile unter zyklischer Belastung}}}, year = {{2019}}, } @inproceedings{20236, author = {{Dross, Marcel and Heyser, Per and Huerkamp, André and Beuscher, Jan and Dröder, Klaus and Meschut, Gerson}}, booktitle = {{ICCM22 Proceedings}}, location = {{Melbourne }}, title = {{{Increasing the strength of mechanically joined connections of metal and fiber-reinforced plastics using a structured auxiliary joining element}}}, year = {{2019}}, } @inproceedings{20237, author = {{Heyser, Per and Meschut, Gerson and Dross, Marcel and Dröder, Klaus}}, booktitle = {{ICCM22 Proceedings}}, location = {{Melbourne }}, title = {{{Auxiliary joining element with integrated pin structures for mechanical joining of fiber-reinforced plastic/metal combinations}}}, year = {{2019}}, }