Publikation: A minimizing-movements approach to GENERIC systems
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2022
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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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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damped harmonic oscillator, structure-preserving time discretization, GENERIC system
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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.2022005BibTex
@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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