Space-time mesh refinement for elastodynamics. Numerical results

Eliane Bécache (1) , Patrick Joly (1) , Jerónimo Rodríguez (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

We propose here a generalization to the elastodynamic equations of the space–time mesh refinement technique introduced in [Raffinement de maillage spatio-temporel pour les eŽquations de Maxwell, Ph.D. thesis, Université de Dauphine, Paris, 2000] for the Maxwell's equations. This method uses a discrete energy conservation to ensure the stability. The method is presented in a variational way applicable to other type of hyperbolic systems. Several numerical experiments are provided to show the efficiency of this approach.

Eliane Bécache, Patrick Joly, Jerónimo Rodríguez. Space-time mesh refinement for elastodynamics. Numerical results. Computer Methods in Applied Mechanics and Engineering, 2005, 194, pp.355-366. ⟨10.1016/j.cma.2004.02.023⟩. ⟨hal-00983048⟩