Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Time-step adaptivity in variational integrators with application to contact problems

Modin, Klas LU and Führer, Claus LU (2006) In Zeitschrift für Angewandte Mathematik und Mechanik 86(10). p.785-794
Abstract
Variable time-step methods, with general step-size control objectives, are developed within the framework of variational integrators. This is accomplished by introducing discrete transformations similar to Poincares time transformation. While gaining from adaptive time-steps, the resulting integrators preserve the structural advantages of variational integrators, i.e., they are symplectic and momentum preserving. As an application, the methods are utilized for dynamic multibody systems governed by contact force laws. A suitable scaling function defining the step-size control objective is derived.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
contact problems, variable step-size methods, variational integrators, transformations, Poincare, time scaling
in
Zeitschrift für Angewandte Mathematik und Mechanik
volume
86
issue
10
pages
785 - 794
publisher
John Wiley and Sons
external identifiers
  • wos:000241653700005
  • scopus:33750554275
ISSN
0044-2267
DOI
10.1002/zamm.200610286
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
id
a7786cec-58f8-4849-a043-c08b80c3c132 (old id 378569)
date added to LUP
2016-04-01 11:57:53
date last changed
2021-09-15 05:34:29
@article{a7786cec-58f8-4849-a043-c08b80c3c132,
  abstract     = {Variable time-step methods, with general step-size control objectives, are developed within the framework of variational integrators. This is accomplished by introducing discrete transformations similar to Poincares time transformation. While gaining from adaptive time-steps, the resulting integrators preserve the structural advantages of variational integrators, i.e., they are symplectic and momentum preserving. As an application, the methods are utilized for dynamic multibody systems governed by contact force laws. A suitable scaling function defining the step-size control objective is derived.},
  author       = {Modin, Klas and Führer, Claus},
  issn         = {0044-2267},
  language     = {eng},
  number       = {10},
  pages        = {785--794},
  publisher    = {John Wiley and Sons},
  series       = {Zeitschrift für Angewandte Mathematik und Mechanik},
  title        = {Time-step adaptivity in variational integrators with application to contact problems},
  url          = {http://dx.doi.org/10.1002/zamm.200610286},
  doi          = {10.1002/zamm.200610286},
  volume       = {86},
  year         = {2006},
}