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    An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation.

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    Type
    Article
    Authors
    Chen, Rui
    Sayed, Sadeed B cc
    Al-Harthi, Noha A.
    Keyes, David E. cc
    Bagci, Hakan cc
    KAUST Department
    Electrical Engineering Program
    Computer Science Program
    Applied Mathematics and Computational Science Program
    Extreme Computing Research Center
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    KAUST Grant Number
    2016-CRG5-2953
    Date
    2019-09-30
    Online Publication Date
    2019-09-30
    Print Publication Date
    2019-09
    Embargo End Date
    2020-04-09
    Permanent link to this record
    http://hdl.handle.net/10754/658637
    
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    Abstract
    A fully explicit marching-on-in-time (MOT) scheme for solving the time domain Kirchhoff (surface) integral equation to analyze transient acoustic scattering from rigid objects is presented. A higher-order Nyström method and a PE(CE)m-type ordinary differential equation integrator are used for spatial discretization and time marching, respectively. The resulting MOT scheme uses the same time step size as its implicit counterpart (which also uses Nyström method in space) without sacrificing from the accuracy and stability of the solution. Numerical results demonstrate the accuracy, efficiency, and applicability of the proposed explicit MOT solver.
    Citation
    Chen, R., Sayed, S. B., Alharthi, N., Keyes, D., & Bagci, H. (2019). An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation. The Journal of the Acoustical Society of America, 146(3), 2068–2079. doi:10.1121/1.5125259
    Sponsors
    This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No 2016-CRG5-2953. The authors would like to thank the King Abdullah University of Science and Technology Supercomputing Laboratory (KSL) for providing the required computational resources.
    Publisher
    Acoustical Society of America (ASA)
    Journal
    The Journal of the Acoustical Society of America
    DOI
    10.1121/1.5125259
    Additional Links
    http://asa.scitation.org/doi/10.1121/1.5125259
    ae974a485f413a2113503eed53cd6c53
    10.1121/1.5125259
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer Science Program; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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