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Title:

Structure preserving discontinuous Galerkin approximation of one-dimensional port-Hamiltonian systems

Document type:
Konferenzbeitrag
Contribution type:
Textbeitrag / Aufsatz
Author(s):
Thoma, T.; Kotyczka, P.
Pages contribution:
pp. 6783-6788
Abstract:
In this article, we present the structure-preserving discretization of linear one-dimensional port-Hamiltonian (PH) systems of two conservation laws using discontinuous Galerkin (DG) methods. We recall the DG discretization procedure which is based on a subdivision of the computational domain, an elementwise weak formulation with up to two integration by parts, and the interconnection of the elements using several numerical fluxes. We present the interconnection of the element models, which is p...     »
Keywords:
port-Hamiltonian systems; conservation laws; structure preserving discretiazation; discontinuous Galerkin
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Book / Congress title:
IFAC-PapersOnLine
Congress (additional information):
IFAC World Congress [22´nd, Yokohama, Japan, 2023]
Volume:
Vol. 56, Issue 2
Organization:
IFAC (International Federation of Automatic Control)
Date of congress:
9.-14.7.2023
Publisher:
Elsevier B.V.
Date of publication:
22.11.2023
Year:
2023
Quarter:
4. Quartal
Year / month:
2023-11
Month:
Nov
Pages:
ppp. 6783-6788
Covered by:
Scopus
Print-ISBN:
978-171387234-4
Bookseries ISSN:
24058963
Reviewed:
ja
Language:
en
Publication format:
Print
Fulltext / DOI:
doi:10.1016/j.ifacol.2023.10.386
WWW:
https://doi.org/10.1016/j.ifacol.2023.10.386
Semester:
WS 23-24
TUM Institution:
Lehrstuhl für Regelungstechnik
Ingested:
24.10.2023
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