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dc.contributor.authorGao, Longfei
dc.contributor.authorKeyes, David E.
dc.date.accessioned2019-12-29T07:54:02Z
dc.date.available2019-12-29T07:54:02Z
dc.date.issued2019-03-15
dc.identifier.urihttp://hdl.handle.net/10754/660842
dc.description.abstractWe consider the finite difference discretization of isotropic elastic wave equations on nonuniform grids. The intended applications are seismic studies, where heterogeneity of the earth media can lead to severe oversampling for simulations on uniform grids. To address this issue, we demonstrate how to properly couple two non-overlapping neighboring subdomains that are discretized uniformly, but with different grid spacings. Specifically, a numerical procedure is presented to impose the interface conditions weakly through carefully designed penalty terms, such that the overall semi-discretization conserves a discrete energy resembling the continuous energy possessed by the elastic wave system.
dc.description.sponsorshipGao and Keyes gratefully acknowledge the support of KAUST’s Office of Sponsored Research under CCF-CAF/URF/1-2596.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/1903.06795
dc.rightsArchived with thanks to arXiv
dc.titleSimultaneous approximation terms for elastic wave equations on nonuniform grids
dc.typePreprint
dc.contributor.departmentExtreme Computing Research Center
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentOffice of the President
dc.eprint.versionPre-print
dc.identifier.arxivid1903.06795
kaust.personGao, Longfei
kaust.personKeyes, David E.
kaust.grant.numberCCF-CAF/URF/1-2596
dc.versionv1
refterms.dateFOA2019-12-29T07:54:17Z
kaust.acknowledged.supportUnitCCF
kaust.acknowledged.supportUnitOffice of Sponsored Research


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