2021 - IFAC - Superconvergence.pdf (415.21 kB)
Superconvergence of Galerkin variational integrators
journal contribution
posted on 2024-01-03, 10:22 authored by Sina Ober-Blöbaum, Mats VermeerenMats VermeerenWe study the order of convergence of Galerkin variational integrators for ordinary differential equations. Galerkin variational integrators approximate a variational (Lagrangian) problem by restricting the space of curves to the set of polynomials of degree at most s and approximating the action integral using a quadrature rule. We show that, if the quadrature rule is sufficiently accurate, the order of the integrators thus obtained is 2s.
Funding
DFG Research Fellowship (VE 1211/1-1)
History
School
- Science
Department
- Mathematical Sciences
Published in
IFAC-PapersOnLineVolume
54Issue
19Pages
327 - 333Publisher
ElsevierVersion
- VoR (Version of Record)
Rights holder
© The AuthorsPublisher statement
This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence (CC BY-NC-ND). Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2021-11-19Copyright date
2021ISSN
2405-8971eISSN
2405-8963Publisher version
Language
- en