Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
B\'alint Farkas, Birgit Jacob, Timo Reis, Merlin Schmitz
TL;DR
This paper introduces a dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems that guarantees error reduction without stability constraints, suitable for domain decomposition applications.
Contribution
It presents a novel monotone dynamic iteration method that applies to port-Hamiltonian systems from domain decompositions, without stability restrictions.
Findings
Error decreases monotonically during iteration
Applicable to a broad class of port-Hamiltonian systems
No stability conditions required for convergence
Abstract
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods for differential equations · Control and Stability of Dynamical Systems · Advanced Numerical Methods in Computational Mathematics