Space-time mesh refinement for elastodynamics. Numerical results

Eliane Bécache; Patrick Joly; Jeronimo Rodríguez

doi:10.1016/j.cma.2004.02.023

Space-time mesh refinement for elastodynamics. Numerical results

Eliane Bécache
, Patrick Joly
, Jeronimo Rodríguez

INRIA Rocquencourt

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	355-366
Number of pages	12
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	194
Issue number	2-5 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.cma.2004.02.023
Publication status	Published - 4 Feb 2005
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Elastodynamics
Space-time mesh refinement

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10.1016/j.cma.2004.02.023

Cite this

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title = "Space-time mesh refinement for elastodynamics. Numerical results",

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 {\'e}quations de Maxwell, Ph.D. thesis, Universit{\'e} 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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author = "Eliane B{\'e}cache and Patrick Joly and Jeronimo Rodr{\'i}guez",

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T1 - Space-time mesh refinement for elastodynamics. Numerical results

AU - Bécache, Eliane

AU - Joly, Patrick

AU - Rodríguez, Jeronimo

PY - 2005/2/4

Y1 - 2005/2/4

N2 - 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.

AB - 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.

KW - Elastodynamics

KW - Space-time mesh refinement

U2 - 10.1016/j.cma.2004.02.023

DO - 10.1016/j.cma.2004.02.023

M3 - Article

AN - SCOPUS:10444271003

SN - 0045-7825

VL - 194

SP - 355

EP - 366

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 2-5 SPEC. ISS.

ER -

Space-time mesh refinement for elastodynamics. Numerical results

Abstract

UN SDGs

Keywords

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