• Login
    View Item 
    •   SU+ Home
    • Conferences / Workshops / Seminars +
    • Strathmore International Mathematics Conference
    • SIMC 2015
    • View Item
    •   SU+ Home
    • Conferences / Workshops / Seminars +
    • Strathmore International Mathematics Conference
    • SIMC 2015
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Boundary element method for solving high frequency scattering problems for obstacles with no corners

    Thumbnail
    View/Open
    Paper presented at the 3rd Strathmore International Mathematics Conference (SIMC 2015), 3 - 7 August 2015, Strathmore University, Nairobi, Kenya. (455.1Kb)
    Date
    2015
    Author
    Mokgolele, M.
    Metadata
    Show full item record
    Abstract
    We consider scattering of a time-harmonic acoustic incident plane wave by a sound soft smooth object with Lipschitz boundary. The application of conventional boundary or finite element methods, have computational cost that grows linearly respect to the frequency of the incident wave. Recent research has been devoted in finding methods which does not loose robustness as frequency of the incident wave increases. Arden, Chandler-Wilde and Langdon proposed a collocation method to solve a high frequency scattering by convex polygons. They use a boundary element method, and incorporating products of plane wave basis functions with piecewise polynomials supported on a graded mesh into approximation space. They demonstrated via numerical experiments the number of degrees of freedom required to achieve a prescribed level of accuracy grows only logarithmically with respect to frequency. Here we proposed a collocation method for high frequency scattering by smooth objects (objects with no corners, e.g. a circle).We applied same approximations as theirs, but employing uniform mesh. We demonstrate through numerical experiments the logarithmical grow of the solutions as frequency increases, with much reduced computational cost.
    URI
    http://hdl.handle.net/11071/11924
    Collections
    • SIMC 2015 [10]

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Browse

    All of SU+Communities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV