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Partitioned Finite Element Method for Power-Preserving Structured Discretization with Mixed Boundary Conditions

Brugnoli, Andrea and Cardoso-Ribeiro, Flavio Luiz and Haine, Ghislain and Kotyczka, Paul Partitioned Finite Element Method for Power-Preserving Structured Discretization with Mixed Boundary Conditions. (2020) In: Proceedings of the 21st IFAC World Congress, 11 July 2020 - 17 July 2020 (Berlin, Germany).

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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).
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
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Deposited On:16 Nov 2020 13:38

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