Superconvergence of Galerkin variational integrators
Numerical Analysis
2022-01-10 v1 Numerical Analysis
Abstract
We 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 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 .
Keywords
Cite
@article{arxiv.2104.12221,
title = {Superconvergence of Galerkin variational integrators},
author = {Sina Ober-Blöbaum and Mats Vermeeren},
journal= {arXiv preprint arXiv:2104.12221},
year = {2022}
}
Comments
7 pages, no figures. This work has been submitted to IFAC for possible publication