A Γ-convergence result for variational integrators of lagrangians with quadratic growth

Francesco Maggi; Massimiliano Morini

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 10, Issue: 4, page 656-665
  • ISSN: 1292-8119

Abstract

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

How to cite

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Maggi, Francesco, and Morini, Massimiliano. "A Γ-convergence result for variational integrators of lagrangians with quadratic growth." ESAIM: Control, Optimisation and Calculus of Variations 10.4 (2010): 656-665. <http://eudml.org/doc/90749>.

@article{Maggi2010,
abstract = { Following the Γ-convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for Lagrangians with quadratic behavior is established. },
author = {Maggi, Francesco, Morini, Massimiliano},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Discrete dynamics; variational integrators; Gamma-convergence.; discrete dynamics; gamma-convergence},
language = {eng},
month = {3},
number = {4},
pages = {656-665},
publisher = {EDP Sciences},
title = {A Γ-convergence result for variational integrators of lagrangians with quadratic growth},
url = {http://eudml.org/doc/90749},
volume = {10},
year = {2010},
}

TY - JOUR
AU - Maggi, Francesco
AU - Morini, Massimiliano
TI - A Γ-convergence result for variational integrators of lagrangians with quadratic growth
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 4
SP - 656
EP - 665
AB - Following the Γ-convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for Lagrangians with quadratic behavior is established.
LA - eng
KW - Discrete dynamics; variational integrators; Gamma-convergence.; discrete dynamics; gamma-convergence
UR - http://eudml.org/doc/90749
ER -

References

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  1. E. De Giorgi, Teoremi di semicontinuitá nel Calcolo delle Variazioni. Istituto Nazionale di Alta Matematica (1968-1969).  
  2. A.D. Ioffe, On lower semicontinuity of integral functionals. I. SIAM J. Control Optim.15 (1977) 521-538.  Zbl0361.46037
  3. E.J. Marsden and M. West, Discrete Mechanics and variational integrators. Acta Numerica10 (2001) 357-514.  Zbl1123.37327
  4. S. Müller and M. Ortiz, On the Γ -convergence of discrete dynamics and variational integrators. J. Nonlinear Sci.14 (2004) 279-296.  Zbl1136.37350

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