Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods

Wenger T, Ober-Blöbaum S, Leyendecker S (2016)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2016

Conference Proceedings Title: Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)

Event location: Rhodes GR

Abstract

The presented constrained Galerkin variational integrators base on the higher order variational integrators in [1], now applied to holonomically constrained systems and are an extension of the constrained Galerkin methods in [2]. Sufficient conditions are given to obtain a stiffly accurate integration scheme, its structure preserving properties are analysed and the convergence order as well as the computational efficiency are investigated numerically. The equivalence to constrained symplectic Runge-Kutta methods is shown, with focus on a modified constrained symplectic Runge-Kutta method, that was first introduced in [3], there for the unconstrained case.

Authors with CRIS profile

Theresa Wenger Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Related research project(s)

Variational integrators of higher order for constrained systems and variational integrators of mixed order for dynamical systems with multiple time scales Jan. 1, 2016 - March 31, 2022

Involved external institutions

University of Oxford GB United Kingdom (GB)

How to cite

APA:

Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods. In Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM). Rhodes, GR.

MLA:

Wenger, Theresa, Sina Ober-Blöbaum, and Sigrid Leyendecker. "Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods." Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes 2016.

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