Space-time mesh refinement for elastodynamics. Numerical results

Éliane Bécache, Patrick Joly and Jerónimo Rodríguez

february, 2005

Publication type:

Paper in peer-reviewed journals

Journal:

Comput. Methods Appl. Mech. Engrg., vol. 194, pp. 355-366

External link:

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4D8MNS1-7&_user=3722228&_coverDate=02%2F04%2F2005&_alid=586117028&_rdoc=4&_fmt=full&_orig=search&_cdi=5697&_sort=d&_docanchor=&view=c&_ct=20&_acct=C000060382&_version=1&_urlVersion=0&_userid=3722228&md5=8ff960a39dbcb4c7aa0eac58a248f254

DOI:

10.1016/j.cma.2004.02.023

HAL:

hal-00983048

Keywords :

spacetime mesh refinement; local time stepping; elastodynamics; stability; energy conservation;

Abstract:

We propose here a generalization to the elastodynamic equations of the spacetime 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

BibTeX:

@article{Bec-Jol-Rod-2005-1,
    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 },
    month={2},
    volume={194 },
    pages={355--366},
}