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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2012 Volume 15, Number 2, Pages 165–174 (Mi sjvm467)

This article is cited 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

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.

MSC: 35L05, 35L20,65N30

Received: 24.10.2011


 English version:
Numerical Analysis and Applications, 2012, 5:2, 136–143

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