A -convergence result for variational integrators of lagrangians with quadratic growth
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 656-665
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Following the -convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for lagrangians with quadratic behavior is established.
DOI :
10.1051/cocv:2004025
Classification :
37M15, 49J45
Keywords: discrete dynamics, variational integrators, gamma-convergence
Keywords: discrete dynamics, variational integrators, gamma-convergence
@article{COCV_2004__10_4_656_0,
author = {Maggi, Francesco and Morini, Massimiliano},
title = {A $\Gamma $-convergence result for variational integrators of lagrangians with quadratic growth},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {656--665},
publisher = {EDP-Sciences},
volume = {10},
number = {4},
year = {2004},
doi = {10.1051/cocv:2004025},
mrnumber = {2111086},
zbl = {1099.37064},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004025/}
}
TY - JOUR AU - Maggi, Francesco AU - Morini, Massimiliano TI - A $\Gamma $-convergence result for variational integrators of lagrangians with quadratic growth JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2004 SP - 656 EP - 665 VL - 10 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004025/ DO - 10.1051/cocv:2004025 LA - en ID - COCV_2004__10_4_656_0 ER -
%0 Journal Article %A Maggi, Francesco %A Morini, Massimiliano %T A $\Gamma $-convergence result for variational integrators of lagrangians with quadratic growth %J ESAIM: Control, Optimisation and Calculus of Variations %D 2004 %P 656-665 %V 10 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004025/ %R 10.1051/cocv:2004025 %G en %F COCV_2004__10_4_656_0
Maggi, Francesco; Morini, Massimiliano. A $\Gamma $-convergence result for variational integrators of lagrangians with quadratic growth. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 656-665. doi: 10.1051/cocv:2004025
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