A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces
Year: 2009
Communications in Computational Physics, Vol. 5 (2009), Iss. 1 : pp. 84–107
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CiCP-7725
Communications in Computational Physics, Vol. 5 (2009), Iss. 1 : pp. 84–107
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24