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Partitioned finite element method for structured discretization with mixed boundary conditions

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.
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https://hal.archives-ouvertes.fr/hal-03202663
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Submitted on : Tuesday, April 20, 2021 - 10:08:42 AM
Last modification on : Thursday, April 22, 2021 - 3:02:21 AM
Long-term archiving on: : Wednesday, July 21, 2021 - 6:18:18 PM

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Andrea Brugnoli, Flávio Luiz Cardoso-Ribeiro, Ghislain Haine, Paul Kotyczka. Partitioned finite element method for structured discretization with mixed boundary conditions. 21th IFAC World Congress -1st Virtual IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.7557-7562, ⟨10.1016/j.ifacol.2020.12.1351⟩. ⟨hal-03202663⟩

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