Volume 5, Issue 1
A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces

Daniel Appelö and N. Anders Petersson

Commun. Comput. Phys., 5 (2009), pp. 84-107.

Preview Full PDF BiBTex 206 521
  • Abstract

A stable and explicit second order accurate finite difference method for the elastic wave equation in curvilinear coordinates is presented. The discretization of the spatial operators in the method is shown to be self-adjoint for free-surface, Dirichlet and periodic boundary conditions. The fully discrete version of the method conserves a discrete energy to machine precision. 

  • History

Published online: 2009-05

  • Keywords

  • AMS Subject Headings

  • Cited by