Energy-conserving integration of constrained Hamiltonian systems - A comparison of approaches

Leyendecker, S., Betsch, P. and Steinmann, P. (2004) Energy-conserving integration of constrained Hamiltonian systems - A comparison of approaches. Computational Mechanics, 33(3), pp. 174-185. (doi: 10.1007/s00466-003-0516-2)

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Abstract

In this paper known results for continuous Hamiltonian systems subject to holonomic constraints are carried over to a special class of discrete systems, namely to discrete Hamiltonian systems in the sense of Gonzalez. In particular the equivalence of the Lagrange Multiplier Method to the Penalty Method (in the limit for increasing penalty parameters) and to the Augmented Lagrange Method (for infinitely many iterations) is shown theoretically. In doing so many features of the different systems, including dimension, condition number, accuracy, etc. are discussed and compared. Two numerical examples are dealt with to illustrate the results.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Leyendecker, S., Betsch, P., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computational Mechanics
Publisher:Springer
ISSN:0178-7675
ISSN (Online):1432-0924
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