Show simple item record

dc.contributor.authorDuru, Kenneth
dc.date.accessioned2016-02-25T12:31:52Z
dc.date.available2016-02-25T12:31:52Z
dc.date.issued2014-01
dc.identifier.citationDuru K (2014) A perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media. Journal of Computational Physics 257: 757–781. Available: http://dx.doi.org/10.1016/j.jcp.2013.10.022.
dc.identifier.issn0021-9991
dc.identifier.doi10.1016/j.jcp.2013.10.022
dc.identifier.urihttp://hdl.handle.net/10754/597373
dc.description.abstractA mathematical analysis of the perfectly matched layer (PML) for the time-dependent wave equation in heterogeneous and layered media is presented. We prove the stability of the PML for discontinuous media with piecewise constant coefficients, and derive energy estimates for discontinuous media with piecewise smooth coefficients. We consider a computational setup consisting of smaller structured subdomains that are discretized using high order accurate finite difference operators for approximating spatial derivatives. The subdomains are then patched together into a global domain by a weak enforcement of interface conditions using penalties. In order to ensure the stability of the discrete PML, it is necessary to transform the interface conditions to include the auxiliary variables. In the discrete setting, the transformed interface conditions are crucial in deriving discrete energy estimates analogous to the continuous energy estimates, thus proving stability and convergence of the numerical method. Finally, we present numerical experiments demonstrating the stability of the PML in a layered medium and high order accuracy of the proposed interface conditions. © 2013 Elsevier Inc.
dc.description.sponsorshipThis project was completed during the author's postdoctoral program at the Geophysics Department, Stanford University, California. The author acknowledges the support from Eric M. Dunham. This work was supported by King Abdullah University of Science and Technology (KAUST) through a joint KAUST Academic Excellence Alliance (AEA) grant with Stanford.
dc.publisherElsevier BV
dc.subjectGuided waves
dc.subjectHigh order accuracy
dc.subjectInterface waves
dc.subjectPerfectly matched layer
dc.subjectReflected waves
dc.subjectRefracted waves
dc.subjectSBP-SAT
dc.subjectStability
dc.subjectSurface waves
dc.titleA perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media
dc.typeArticle
dc.identifier.journalJournal of Computational Physics
dc.contributor.institutionStanford University, Palo Alto, United States
kaust.grant.programAcademic Excellence Alliance (AEA)


This item appears in the following Collection(s)

Show simple item record