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An Overview of Variational Integrators

Lew, Adrian and Marsden, Jerrold E. and Ortiz, Michael and West, Matthew (2004) An Overview of Variational Integrators. In: Finite Element Methods: 1970’s and Beyond. Theory and engineering applications of computational methods. International Center for Numerical Methods in Engineering (CIMNE) , Barcelona, pp. 1-18. ISBN 9788495999498 http://resolver.caltech.edu/CaltechAUTHORS:20101005-091206576

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Abstract

The purpose of this paper is to survey some recent advances in variational integrators for both finite dimensional mechanical systems as well as continuum mechanics. These advances include the general development of discrete mechanics, applications to dissipative systems, collisions, spacetime integration algorithms, AVI’s (Asynchronous Variational Integrators), as well as reduction for discrete mechanical systems. To keep the article within the set limits, we will only treat each topic briefly and will not attempt to develop any particular topic in any depth. We hope, nonetheless, that this paper serves as a useful guide to the literature as well as to future directions and open problems in the subject.


Item Type:Book Section
Additional Information:© 2003 CIMNE, Barcelona, Spain. Research partially supported by NSF–ITR grant ACI–0204932.
Funders:
Funding AgencyGrant Number
NSF- Information Technology Research (ITR)ACI-0204932
Subject Keywords:mechanical integrators, variational principles, conservation properties, discrete mechanics, symmetry, reduction
Record Number:CaltechAUTHORS:20101005-091206576
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101005-091206576
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20293
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Nov 2010 23:54
Last Modified:26 Dec 2012 12:30

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