Numerical Analysis and Applications

, Volume 5, Issue 2, pp 136–143 | Cite as

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

Article

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.

Keywords

elastic wave propagation vector potentials finite elements clamped boundary condition 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.POEMS, UMR 7231, CNRS-ENSTA-INRIA, INRIADomaine de VoluceauLe Chesnay CedexFrance
  2. 2.Université Paris-Sud XILaboratoire d’Analyse NumériqueOrsay CedexFrance

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