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Using analytical expressions in radial integration BEM for variable coefficient heat conduction problems

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Indexed by:期刊论文

Date of Publication:2011-10-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:Scopus、SCIE、EI

Volume:35

Issue:10

Page Number:1085-1089

ISSN No.:0955-7997

Key Words:Boundary element method; Radial integration method; Heat conduction; Fourth-order spline RBF

Abstract:In this paper, a new approach using analytical expressions in the radial integration boundary element method (RIBEM) is presented for solving variable coefficient heat conduction problems. This approach can improve the computational efficiency considerably and can overcome the time-consuming deficiency of RIBEM in computing involved radial integrals. The fourth-order spline RBF is employed to approximate unknowns appearing in domain integrals arising from the varying heat conductivity. The radial integration method is utilized to convert domain integrals to the boundary resulting in a pure boundary discretization algorithm. Numerical examples are given to demonstrate the efficiency of the presented approach. (C) 2011 Elsevier Ltd. All rights reserved.

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