Title
Generalized boundary integral equation for heat conduction in non-homogeneous media: recent developments on the sifting property
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
ISSN
0955-7997
Recommended Citation
"Generalized boundary integral equation for heat conduction in non-homogeneous media: recent developments on the sifting property" (1998). Faculty Bibliography 1990s. 2224.
https://stars.library.ucf.edu/facultybib1990/2224
Comments
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