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dc.contributor.authorGao, Longfei
dc.contributor.authorKeyes, David E.
dc.date.accessioned2018-12-06T07:08:04Z
dc.date.available2018-03-06T06:50:08Z
dc.date.available2018-12-06T07:08:04Z
dc.date.issued2018-11-23
dc.identifier.citationGao L, Keyes D (2019) Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner. Journal of Computational Physics 378: 665–685. Available: http://dx.doi.org/10.1016/j.jcp.2018.11.031.
dc.identifier.issn0021-9991
dc.identifier.doi10.1016/j.jcp.2018.11.031
dc.identifier.urihttp://hdl.handle.net/10754/627227
dc.description.abstractWe consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain to account for the topography, and combined with the more efficient finite difference method that is applied to the deep region of the simulation domain. We demonstrate that these two discretization methods, albeit starting from different formulations of the elastic wave equation, can be joined together smoothly via weakly imposed interface conditions. Discrete energy analysis is employed to derive the proper interface treatment, leading to an overall discretization that is energy-conserving. Numerical examples are presented to demonstrate the efficacy of the proposed interface treatment.
dc.description.sponsorshipThe authors gratefully acknowledge the support of KAUST's Office of Sponsored Research under CCF-CAF/URF/1-2596. The authors would also like to thank the anonymous reviewers for their thoughtful suggestions and comments that have led to significant improvements in this article.
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0021999118307757
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [, , (2018-11-23)] DOI: 10.1016/j.jcp.2018.11.031 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFinite element method
dc.subjectfinite difference method
dc.subjectinterface treatment
dc.subjectelastic wave equation
dc.subjectdiscrete energy analysis
dc.subjectsimultaneous approximation terms
dc.titleCombining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner
dc.typeArticle
dc.contributor.departmentExtreme Computing Research Center
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalJournal of Computational Physics
dc.eprint.versionPost-print
dc.identifier.arxivid1802.08324
kaust.personGao, Longfei
kaust.personKeyes, David E.
kaust.grant.numberCCF-CAF/URF/1-2596
dc.versionv1
refterms.dateFOA2018-06-13T18:47:51Z
dc.date.published-online2018-11-23
dc.date.published-print2019-02
dc.date.posted2018-02-22


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