Serhani, Anass
and Matignon, Denis and Haine, Ghislain
A Partitioned Finite Element Method for the Structure-Preserving Discretization of Damped Infinite-Dimensional Port-Hamiltonian Systems with Boundary Control.
(2019)
In:
Geometric Science of Information.
Springer International Publishing AG, Cham, Suisse, 549-558.
ISBN 978-3-030-26980-7
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 367kB |
Official URL: https://doi.org/10.1007/978-3-030-26980-7_57
Abstract
Many boundary controlled and observed Partial Differential Equations can be represented as port-Hamiltonian systems with dissipation, involving a Stokes-Dirac geometrical structure together with constitutive relations. The Partitioned Finite Element Method, introduced in Cardoso-Ribeiro et al. (2018), is a structure preserving numerical method which defines an underlying Dirac structure, and constitutive relations in weak form, leading to finite-dimensional port-Hamiltonian Differential Algebraic systems (pHDAE). Different types of dissipation are examined: internal damping, boundary damping and also diffusion models.
| Item Type: | Book Section |
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| Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
| Laboratory name: | |
| Statistics: | download |
| Deposited On: | 04 Sep 2019 12:43 |
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