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

Daniel Appelö & N. Anders Petersson

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

Published online: 2009-05

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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. 

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@Article{CiCP-5-84, author = {Daniel Appelö and N. Anders Petersson}, title = {A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {1}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7725.html} }
TY - JOUR T1 - A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces AU - Daniel Appelö & N. Anders Petersson JO - Communications in Computational Physics VL - 1 SP - 84 EP - 107 PY - 2009 DA - 2009/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7725.html KW - AB -

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. 

Daniel Appelö and N. Anders Petersson. (2009). A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces. Communications in Computational Physics. 5 (1). 84-107. doi:
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