Brugnoli, Andrea
and Cardoso-Ribeiro, Flávio Luiz and Haine, Ghislain and Kotyczka, Paul
Partitioned finite element method for structured discretization with mixed boundary conditions.
(2020)
In: 21th IFAC World Congress, 11 July 2020 - 17 July 2020 (Berlin, Germany).
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 446kB |
Official URL: https://doi.org/10.1016/j.ifacol.2020.12.1351
Abstract
The propagation of acoustic waves in a 2D geometrical domain under mixed boundary control is here described by means of the port-Hamiltonian (pH) formalism. A finite element based method is employed to obtain a consistently discretized model. To construct a model with mixed boundary control, two different methodologies are detailed: one employs Lagrange multipliers, the other relies on a virtual domain decomposition to interconnect models with different causalities. The two approaches are assessed numerically, by comparing the Hamiltonian and the state variables norm for progressively refined meshes.
| Item Type: | Invited Conference |
|---|---|
| Additional Information: | This work is supported by the project ANR-16-CE92-0028, en- titled Interconnected Infinite-Dimensional systems for Heterogeneous Media, INFIDHEM, financed by the French National Research Agency (ANR) and the Deutsche Forschungsgemeinschaft(DFG). |
| HAL Id: | hal-03202663 |
| Audience (conference): | International conference proceedings |
| Uncontrolled Keywords: | |
| Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) Other partners > Instituto Tecnologico de Aeronautica - ITA (BRAZIL) Other partners > Technische Universität München - TUM (GERMANY) |
| Laboratory name: | |
| Funders: | ANR-DFG |
| Statistics: | download |
| Deposited On: | 16 Nov 2020 13:38 |
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