• Login
    View Item 
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Poulson, Jack
    Engquist, Björn
    Li, Siwei
    Ying, Lexing
    Date
    2013-05-02
    Online Publication Date
    2013-05-02
    Print Publication Date
    2013-01
    Permanent link to this record
    http://hdl.handle.net/10754/597372
    
    Metadata
    Show full item record
    Abstract
    A parallelization of a sweeping preconditioner for three-dimensional Helmholtz equations without large cavities is introduced and benchmarked for several challenging velocity models. The setup and application costs of the sequential preconditioner are shown to be O(γ2N4/3) and O(γN logN), where γ(ω) denotes the modestly frequency-dependent number of grid points per perfectly matched layer. Several computational and memory improvements are introduced relative to using black-box sparse-direct solvers for the auxiliary problems, and competitive runtimes and iteration counts are reported for high-frequency problems distributed over thousands of cores. Two open-source packages are released along with this paper: Parallel Sweeping Preconditioner (PSP) and the underlying distributed multifrontal solver, Clique. © 2013 Society for Industrial and Applied Mathematics.
    Citation
    Poulson J, Engquist B, Li S, Ying L (2013) A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations. SIAM Journal on Scientific Computing 35: C194–C212. Available: http://dx.doi.org/10.1137/120871985.
    Sponsors
    This work was partially supported by the sponsors of the Texas Consortium for Computational Seismology.The second author was supported by NSF grant DMS-1016577. The fourth author was supported by NSF CAREER grant DMS-0846501, NSF grant DMS-1016577, and funding from KAUST.This author was supported by a CAM fellowship.
    Publisher
    Society for Industrial & Applied Mathematics (SIAM)
    Journal
    SIAM Journal on Scientific Computing
    DOI
    10.1137/120871985
    ae974a485f413a2113503eed53cd6c53
    10.1137/120871985
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.