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Convergence of a collocation scheme for a retarded potential integral equation

Duncan, D.B. (2003) Convergence of a collocation scheme for a retarded potential integral equation. In: Mathematical and numerical aspects of wave propagation phenomena. Springer, London, UK, pp. 770-775. ISBN 354040127X

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    Abstract

    Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to be unstable. Collocation schemes are easier to implement than full finite element formulations, but little appears to be known about their stability and convergence. We shall describe some new stable collocation schemes and use Fourier methods and techniques from the analysis of one dimensional Volterra integral equations of the first kind to demonstrate that such stable schemes are convergent.

    Item type: Book Section
    ID code: 2148
    Keywords: wave propagation, mathematics, integral equations, Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Strathprints Administrator
      Date Deposited: 11 Dec 2006
      Last modified: 02 Sep 2011 09:19
      URI: http://strathprints.strath.ac.uk/id/eprint/2148

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