Title

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

Keywords

Boundary element method; Generalized boundary integral equation; Generalized fundamental solution; Heat conduction; Space dependent properties

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. © 1998 Elsevier Science Ltd. All rights reserved.

Publication Date

1-1-1998

Publication Title

Engineering Analysis with Boundary Elements

Volume

22

Issue

3

Number of Pages

221-234

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/s0955-7997(98)00037-x

Socpus ID

0032184029 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0032184029

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