An introductory study of the convergence of the direct boundary element method

Peter Møller Juhl

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    Abstract

    Although boundary element methods have been used for three decades for the numerical solution of acoustic problems, the issue of convergence is not well known among acoustic engineers. In this paper the concept of convergence is introduced in an intuitive and empirical style. The convergence of an axisymmetric boundary element formulation is studied using linear, quadratic or superparametric elements. It is demonstrated that the rate of convergence of these formulations is reduced for calculations involving bodies with edges (geometric singularities). Two methods for improving the rate of convergence for these cases are suggested and examined.
    Original languageEnglish
    Title of host publicationProceedings of the Fifth International Congress on Sound and Vibration
    Place of PublicationAuburn, AL
    PublisherThe International Institute of Acoustics and Vibration
    Publication date1997
    Pages825-832
    Publication statusPublished - 1997
    Event5th International Congress on Sound and Vibration - Adelaide, Australia
    Duration: 15 Dec 199718 Dec 1997
    Conference number: 5

    Conference

    Conference5th International Congress on Sound and Vibration
    Number5
    CountryAustralia
    CityAdelaide
    Period15/12/199718/12/1997

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