Work

Operator splitting for coupled linear port-Hamiltonian systems

Year: 2024

Type: article

Abstract: 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.

Source: Applied Mathematics Letters

DOI: 10.1016/j.aml.2024.109309

Authors: Jan Lorenz, Tom Zwerschke, Michael Günther, Kevin Schäfers

Institution: University of Wuppertal

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,690

Funder: Deutsche Forschungsgemeinschaft