FoCM 2014 conference
Workshop B4 - Geometric Integration and Computational Mechanics
December 16, 14:30 ~ 14:55 - Room B11
The exact discrete Lagrangian function on the Lie algebroid of a Lie groupoid
Juan Carlos Marrero
University of La Laguna, Spain - jcmarrer@ull.edu.es
In this talk, I will present a definition of the exact discrete Lagrangian function associated with a continuous regular Lagrangian function on the Lie algebroid of a Lie groupoid. Some applications on variational analysis error in this setting will also be presented. In order to define the exact discrete Lagrangian function, I will use some results on second order differential equations on the vertical bundle of a fibration. These results may be proved using classical theorems on second order differential equations.
Joint work with D Martín de Diego (ICMAT, Spain) and E Martínez (University of Zaragoza, Spain).