A novel energy-based modeling framework

Fuente: arXiv
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Autores principales: Altmann, R., Schulze, P.
Formato: Preprint
Publicado: 2024
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author Altmann, R.
Schulze, P.
author_facet Altmann, R.
Schulze, P.
contents We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as well as structure-preserving interconnection and Petrov-Galerkin projection. In terms of time discretization, the midpoint rule and discrete gradient methods are dissipation-preserving. Besides the verification of these properties, we present ten examples from different fields of application.
format Preprint
id arxiv_https___arxiv_org_abs_2406_12391
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A novel energy-based modeling framework
Altmann, R.
Schulze, P.
Numerical Analysis
37J06, 65P10, 65M60
We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as well as structure-preserving interconnection and Petrov-Galerkin projection. In terms of time discretization, the midpoint rule and discrete gradient methods are dissipation-preserving. Besides the verification of these properties, we present ten examples from different fields of application.
title A novel energy-based modeling framework
topic Numerical Analysis
37J06, 65P10, 65M60
url https://arxiv.org/abs/2406.12391