IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v366y2020ics0096300319307180.html
   My bibliography  Save this article

Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation

Author

Listed:
  • Bertoluzza, S.
  • Falletta, S.
  • Scuderi, L.

Abstract

We consider a wave propagation problem in 2D, reformulated in terms of a Boundary Integral Equation (BIE) in the space-time domain. For its solution, we propose a numerical scheme based on a convolution quadrature formula by Lubich for the discretization in time, and on a Galerkin method in space. It is known that the main advantage of Lubich’s formulas is the use of the FFT algorithm to retrieve discrete time integral operators with a computational complexity of order RlogR,R being twice the total number of time steps performed. Since the discretization in space leads in general to a quadratic complexity, the global computational complexity is of order M2RlogR and the working storage required is M2R/2, where M is the number of grid points on the domain boundary.

Suggested Citation

  • Bertoluzza, S. & Falletta, S. & Scuderi, L., 2020. "Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    • Handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307180
    DOI: 10.1016/j.amc.2019.124726
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319307180
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124726?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lei, Weidong & Qin, Xiaofei & Li, Hongjun & Fan, Youhua, 2022. "Causality condition relevant functions-orientated analytical treatment on singularities in 3D TD-BEM," Applied Mathematics and Computation, Elsevier, vol. 427(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307180. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.