Space-time mesh refinement for elastodynamics. Numerical results

february, 2005
Publication type:
Paper in peer-reviewed journals
Comput. Methods Appl. Mech. Engrg., vol. 194, pp. 355-366
Keywords :
space–time mesh refinement; local time stepping; elastodynamics; stability; energy conservation;
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.
title (translation) :
Raffinement de Maillage Spatio-Temporel pour l'Élastodynamique. Résultats numériques
    author={Éliane Bécache and Patrick Joly and Jerónimo Rodríguez },
    title={Space-time mesh refinement for elastodynamics. Numerical 
           results },
    doi={10.1016/j.cma.2004.02.023 },
    journal={Comput. Methods Appl. Mech. Engrg. },
    year={2005 },
    volume={194 },