Space–time mesh refinement for elastodynamics. Numerical results

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 équations de Maxwell, Ph.D. thesis, Université de Dauphine, Paris, 2000] for the Maxwell’s equations. This method uses a discret...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2005-02, Vol.194 (2-5), p.355-366
Hauptverfasser:	Bécache, E., Joly, P., Rodrı́guez, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational techniques Elastodynamics Exact sciences and technology Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Mathematical methods in physics Physics Solid mechanics Space–time mesh refinement Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Zusammenfassung:	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 équations 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.
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2004.02.023