Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems

A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based on Lions–Mercier-type operator splitting methods is developed. The dynamic iteration is monotone in the sense that the error is decreasing and no stability conditions are required. The developed iteration sch...

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Bibliographic Details
Published inNumerische Mathematik Vol. 155; no. 1-2; pp. 1 - 34
Main Authors Bartel, Andreas, Günther, Michael, Jacob, Birgit, Reis, Timo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023
Springer Nature B.V
Subjects
Algebra
Algorithms
Electrical networks
Hamiltonian functions
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Multibody systems
Numerical Analysis
Numerical and Computational Physics
Simulation
Splitting
Theoretical
37Jxx
34A09
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Summary:A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based on Lions–Mercier-type operator splitting methods is developed. The dynamic iteration is monotone in the sense that the error is decreasing and no stability conditions are required. The developed iteration scheme is even new for linear port-Hamiltonian systems governed by ODEs. The obtained algorithm is applied to a multibody system and an electrical network.
ISSN:0029-599X
0945-3245
DOI:10.1007/s00211-023-01369-5