Titel
A minimizing-movements approach to GENERIC systems
Autor*in
Ansgar Jüngel
Institute for Analysis and Scientific Computing, Vienna University of Technology
Abstract
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.
Stichwort
damped harmonic oscillatorstructure-preserving time discretizationGENERIC system
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
Mathematics in Engineering
Band
4
Ausgabe
1
ISSN
2640-3501
Erscheinungsdatum
2022
Seitenanfang
1
Seitenende
18
Publication
American Institute of Mathematical Sciences (AIMS)
Projekt
Kod / Identifikator
F 65
Projekt
Kod / Identifikator
W 1245
Projekt
Kod / Identifikator
P 30000
... show all
Erscheinungsdatum
2022
Zugänglichkeit
Rechte
Rechteangabe
© 2022 the Author(s)
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