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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 165–174 (Mi sjvm467)  
This article is cited in 12 scientific papers (total in 12 papers)

Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

A. Burelab, S. Impérialea, P. Jolya

a POEMS, UMR 7231, CNRS-ENSTA-INRIA, INRIA, Le Chesnay, France
b Université Paris-Sud XI, Laboratoire d'Analyse Numérique, Orsay, France
Full-text PDF (568 kB) Citations (12)
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Abstract: In this article, elastic wave propagation in a homogeneous isotropic elastic medium with a rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite element discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.
Key words: elastic wave propagation, vector potentials, finite elements, clamped boundary condition.
Received: 24.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 136–143
DOI: https://doi.org/10.1134/S1995423912020061
Bibliographic databases:
Document Type: Article
MSC: 35L05, 35L20,65N30
Language: Russian
Citation: A. Burel, S. Impériale, P. Joly, “Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 165–174; Num. Anal. Appl., 5:2 (2012), 136–143
Citation in format AMSBIB
\Bibitem{BurImpJol12}
\by A.~Burel, S.~Imp\'eriale, P.~Joly
\paper Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 165--174
\mathnet{http://mi.mathnet.ru/sjvm467}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 136--143
\crossref{https://doi.org/10.1134/S1995423912020061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862127600}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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