Hypersingular Residuals - A New Approach For Error Estimation In The Boundary Element Method

    Authors

    G. H. Paulino; L. J. Gray;V. Zarikian

    Comments

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    Abbreviated Journal Title

    Int. J. Numer. Methods Eng.

    Keywords

    residual estimates; singular and hypersingular residuals; error; estimates; boundary element method; singular integrals; hypersingular; integrals; SUPERCONVERGENT PATCH RECOVERY; SINGULAR-INTEGRALS; RECENT EXPERIENCES; ADAPTIVITY; INDICATORS; ALGORITHM; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    This paper presents a new approach for a posteriori 'pointwise' error estimation in the boundary element method. The estimator relies upon evaluation of the residual of hypersingular integral equations, and is therefore intrinsic to the boundary integral equation approach. A methodology is developed for approximating the error on the boundary as well as in the interior of the domain. Extensive computational experiments have been performed for the two-dimensional Laplace equation and the numerical results indicate that the error estimates successfully track the form bf the exact error curve. Moreover, a reasonable estimate of the magnitude of the actual error is also predicted.

    Journal Title

    International Journal for Numerical Methods in Engineering

    Volume

    39

    Issue/Number

    12

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    2005

    Last Page

    2029

    WOS Identifier

    WOS:A1996UT38400002

    ISSN

    0029-5981

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