Cardoso-Ribeiro, Flávio 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(Unpublished)
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 457kB |
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) |
Laboratory name: | |
Funders: | ANR |
Statistics: | download |
Deposited On: | 13 Jun 2018 08:51 |
Repository Staff Only: item control page