Partitioned finite element method for structured discretization with mixed boundary conditions

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.

To cite this paper:
Brugnoli Andrea, Cardoso-Ribeiro Flávio Luiz, Haine Ghislain, Kotyczka Paul (2020) Partitioned finite element method for structured discretization with mixed boundary conditions. IFAC-PapersOnLine 53(2):7557–7562. Berlin, Germany.

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