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math-ph2019
Discrete Formulation for the dynamics of rods deforming in space
Ana C. Casimiro, Cesar Rodrigo
We describe the main ingredients needed to create, from the smooth lagrangian density, a variational principle for discrete motions of a discrete rod, with corresponding conserved…
math-ph2015
Symmetry-preserving discretization of variational field theories
A. C. Casimiro, C. Rodrigo
The present paper develops a variational theory of discrete fields defined on abstract cellular complexes. The discrete formulation is derived solely from a variational principle a…