Discrete Variational Calculus over Cellular complexes


Presenting author: Antonio Fernández Martínez


In this talk we are going to sketch how to formulate from ground up a variational problem on a bundle over an abstract n-dimensional cellular complex.
The development will follow the same scheme as in the formulation of Discrete Mechanics, that can be considered as a particular case of this general formalism where the base cellular complex is 1-dimensional.