Title
A minimizing-movements approach to GENERIC systems
Author
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.
Keywords
damped harmonic oscillatorstructure-preserving time discretizationGENERIC system
Object type
Language
English [eng]
Persistent identifier
phaidra.univie.ac.at/o:1749266
Appeared in
Title
Mathematics in Engineering
Volume
4
Issue
1
ISSN
2640-3501
Issued
2022
From page
1
To page
18
Publication
American Institute of Mathematical Sciences (AIMS)
Date issued
2022
Access rights
Rights statement
© 2022 the Author(s)
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