A minimizing-movements approach to GENERIC systems

Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara

A minimizing-movements approach to GENERIC systems

Dateien

Juengel_2-4xwta4dbwp3g9.pdfGröße: 444.33 KBDownloads: 196

Datum

2022

Autor:innen

Jüngel, Ansgar

Stefanelli, Ulisse

Trussardi, Lara

Open Access-Veröffentlichung

Open Access Gold

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005

Zusammenfassung

We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is based on incremental minimization and is therefore variational in nature. The GENERIC structure of the scheme provides stability and conditional convergence. We show that the scheme can be rigorously implemented in the classical case of the damped harmonic oscillator. Numerical evidence is collected, illustrating the performance of the method and, in particular, the conservation of the energy at the discrete level.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

damped harmonic oscillator, structure-preserving time discretization, GENERIC system

Zitieren

ISO 690

JÜNGEL, Ansgar, Ulisse STEFANELLI, Lara TRUSSARDI, 2022. A minimizing-movements approach to GENERIC systems. In: Mathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005

BibTex

@article{Jungel2022minim-55529,
  year={2022},
  doi={10.3934/mine.2022005},
  title={A minimizing-movements approach to GENERIC systems},
  number={1},
  volume={4},
  journal={Mathematics in Engineering},
  pages={1--18},
  author={Jüngel, Ansgar and Stefanelli, Ulisse and Trussardi, Lara}
}

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