Brugnoli, Andrea and Alazard, Daniel
and Pommier-Budinger, Valérie
and Matignon, Denis
Structure-preserving discretization of port-Hamiltonian plate models.
(2021)
In: Mathematical Theory of Networks and Systems, August 2021 - August 2021 (Cambridge, United Kingdom).
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(Document in English)
PDF (Publisher's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 543kB |
Official URL: https://doi.org/10.1016/j.ifacol.2021.06.094
Abstract
Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and port-Hamiltonian systems has been carried out. In this paper we demonstrate how existing methods can be employed to discretize dynamical plate problems in a structure-preserving way. Based on convergence results of existing schemes, new error estimates are conjectured; numerical simulations confirm the expected behaviors.
Item Type: | Conference or Workshop Item (Paper) |
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HAL Id: | hal-03349680 |
Audience (conference): | International conference proceedings |
Uncontrolled Keywords: | |
Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
Laboratory name: | |
Funders: | project ANR-16-CE92-0028 INFIDHEM https://websites. isae-supaero.fr/infidhem/the-project. |
Statistics: | download |
Deposited On: | 20 Sep 2021 14:01 |
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