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    Simultaneous approximation terms for elastic wave equations on nonuniform grids

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    Type
    Preprint
    Authors
    Gao, Longfei
    Keyes, David E. cc
    KAUST Department
    Extreme Computing Research Center
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Office of the President
    KAUST Grant Number
    CCF-CAF/URF/1-2596
    Date
    2019-03-15
    Permanent link to this record
    http://hdl.handle.net/10754/660842
    
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    Abstract
    We 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.
    Sponsors
    Gao and Keyes gratefully acknowledge the support of KAUST’s Office of Sponsored Research under CCF-CAF/URF/1-2596.
    Publisher
    arXiv
    arXiv
    1903.06795
    Additional Links
    https://arxiv.org/pdf/1903.06795
    Collections
    Preprints; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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