Operator splitting for coupled linear port-Hamiltonian systems

Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these coupled systems. The obtained algorithms preserve the dissipative structure of the overall system and...

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Bibliographic Details
Published inApplied mathematics letters Vol. 160; p. 109309
Main Authors Lorenz, Jan, Zwerschke, Tom, Günther, Michael, Schäfers, Kevin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2025
Subjects
Multiple time stepping
Operator splitting
Port-Hamiltonian systems
65L05
Operator splitting
65Pxx
Multiple time stepping
Port-Hamiltonian systems
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Summary:Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these coupled systems. The obtained algorithms preserve the dissipative structure of the overall system and are convergent of second order. Numerical results for coupled mass–spring–damper chains illustrate the computational efficiency of the splitting methods compared to a straight-forward application of the implicit midpoint rule to the overall system.
ISSN:0893-9659
DOI:10.1016/j.aml.2024.109309