Title

An Iterative Cvbem Solution Of Nonlinear Heat-Transfer Problems

Title - Alternative

Eng. Anal. Bound. Elem.

Keywords

Complex Variable Boundary Element Method; Nonlinear Heat Transfer; Iterative Methods; Boundary-Element Method; Multiply Connected Domains; Potential Problems; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

Abstract

An iterative technique is presented to extend the applicability of the CVBEM to the solution of heat transfer problems with nonlinear radiative boundary conditions. Additionally, nonlinearities arising from the variation of the thermal conductivity with temperature are addressed by means of the Kirchhoff transform. Simple substitution with underrelaxation leads to rapid convergence of the solution. Example problems are presented. The iterative approach is numerically validated and the CVBEM is shown to yield very accurate solutions in few iterations.

Publication Title

Engineering Analysis with Boundary Elements

Volume

11

Issue/Number

1

Publication Date

1-1-1993

Document Type

Article

Language

English

First Page

67

Last Page

75

WOS Identifier

WOS:A1993KX73500009

ISSN

0955-7997

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