48 citations · 48 across the 2 of their papers we have counts for
2 papers
math.NA2021
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids
François Demoures, François Gay-Balmaz
We present a geometric variational discretization of nonlinear elasticity in 2D and 3D in the Lagrangian description. A main step in our construction is the definition of discrete…
math.NA2014★ 48 cited
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3
François Demoures, François Gay-Balmaz, Marin Kobilarov +1
In this paper we develop, study, and test a Lie group multisymplectic integra- tor for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multi…