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Published January 2009 | Version Published
Journal Article Open

A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces

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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.

Additional Information

2009 © Copyright Global Science Press. Received 3 January 2008; Accepted (in revised version) 6 May 2008. Available online 15 July 2008. The authors would like to thank Björn Sjögreen and William Henshaw for stimulating discussions. This work performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.

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Eprint ID
13205
Resolver ID
CaltechAUTHORS:APPccp09

Funding

Department of Energy
DE-AC52-07NA27344

Dates

Created
2009-02-02
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Updated
2019-10-03
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