Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T13:38:26.837Z Has data issue: false hasContentIssue false
  • English
  • Français

A Γ-convergence result for variational integratorsof lagrangians with quadratic growth

Published online by Cambridge University Press:  15 October 2004

Francesco Maggi  and
Massimiliano Morini
Francesco Maggi
Affiliation:
Dipartimento di Matematica “U. Dini”, Viale Morgagni 67/A 50134, Firenze, Italy.
Massimiliano Morini
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh PA, 15213 USA; morini@asdf4.math.cmu.edu.
Get access

Abstract

Following the Γ-convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for Lagrangians with quadratic behavior is established.

Keywords

Discrete dynamicsvariational integratorsGamma-convergence.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 4 , October 2004 , pp. 656 - 665
Copyright
© EDP Sciences, SMAI, 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

E. De Giorgi, Teoremi di semicontinuitá nel Calcolo delle Variazioni. Istituto Nazionale di Alta Matematica (1968-1969).
Ioffe, A.D., On lower semicontinuity of integral functionals. I. SIAM J. Control Optim. 15 (1977) 521-538. CrossRef
Marsden, E.J. and West, M., Discrete Mechanics and variational integrators. Acta Numerica 10 (2001) 357-514. CrossRef
Müller, S. and Ortiz, M., On the $\Gamma$ -convergence of discrete dynamics and variational integrators. J. Nonlinear Sci. 14 (2004) 279-296. CrossRef