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
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
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Journal articles
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Eliane Bécache, Patrick Joly, Jerónimo Rodríguez. Space-time mesh refinement for elastodynamics. Numerical results. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2005, 194, pp.355-366. ⟨10.1016/j.cma.2004.02.023⟩. ⟨hal-00983048⟩

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