Generalized boundary integral equation for heat conduction in non-homogeneous media: recent developments on the sifting property

    Authors

    E. Divo;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    boundary element method; heat conduction; space dependent properties; generalized fundamental solution; generalized boundary integral equation; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    In this paper, we address concerns which were raised with respect to the sifting property of the forcing function D which is crucial in deriving an integral equation for heat conduction in non-homogeneous media. The error in the sifting property (which we neglected in our previous papers) is expanded in a series which leads to evaluation of the error in terms of boundary integrals. This provides a practical estimate of the approximation encountered in the analysis of particular problems, as this may be small in certain cases and significant in others. The correction can be implemented directly or iteratively. In this paper, both methods are used. The iterative approach provides a quantitative measure of the correction and is shown to rapidly converge and improve results, particularly in the case of boundary fluxes. The boundary-only feature of our original boundary integral formulation for heat conduction in non-homogeneous media is thus retained. (C) 1998 Elsevier Science Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    22

    Issue/Number

    3

    Publication Date

    1-1-1998

    Document Type

    Article

    Language

    English

    First Page

    221

    Last Page

    234

    WOS Identifier

    WOS:000077012800006

    ISSN

    0955-7997

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