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A structure-preserving Partitioned Finite Element Method for the 2D wave equation

Cardoso-Ribeiro, Flavio Luiz and Matignon, Denis and Lefèvre, Laurent A structure-preserving Partitioned Finite Element Method for the 2D wave equation. (2018) In: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 1 May 2018 - 4 May 2018 (Valparaíso, Chile). (Unpublished)

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Abstract

Discretizing open systems of conservation laws while preserving the power-balance at the discrete level can be achieved using a new Partitioned Finite Element Method (PFEM), where an integration by parts is performed only on a subset of the variables in the weak formulation. Moreover, since boundary control and observation appear naturally in this formulation, the method is suitable both for simulation and control of infinite-dimensional port-Hamiltonian systems (pHs). The method can be applied using FEM software, and comes along with worked-out test cases on the 2D wave equation in different geometries and coordinate systems.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Other partners > ALTRAN (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Instituto Tecnologico de Aeronautica - ITA (BRAZIL)
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ANR
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Deposited By: Denis Matignon
Deposited On:13 Jun 2018 08:51

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