Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems
Numerical Analysis
2022-02-03 v1 Numerical Analysis
Computational Physics
Abstract
This paper deals with the control of parasitism in variational integrators for degenerate Lagrangian systems by writing them as general linear methods. This enables us to calculate their parasitic growth parameters which are responsible for the loss of long-time energy conservation properties of these algorithms. As a remedy and to offset the effects of parasitism, the standard projection technique is then applied to the general linear methods to numerically preserve the invariants of the degenerate Lagrangian systems by projecting the solution onto the desired manifold.
Keywords
Cite
@article{arxiv.2202.01083,
title = {Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems},
author = {Farrukh Shehzad and Yousaf Habib and Michael Kraus and Zareen Akhtar},
journal= {arXiv preprint arXiv:2202.01083},
year = {2022}
}
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13 Pages