Spacetime mesh refinement for elastodynamics. Numerical results
We propose here a generalization to the elastodynamic equations of the spacetime mesh refinement technique introduced in [Raffinement de maillage spatio-temporel pour les quations de Maxwell, Ph.D. thesis, Universit de Dauphine, Paris, 2000] for the Maxwells 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.
spacetime mesh refinement elastodynamics