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An Iterative Boundary Element Method for the Solution of a Cauchy Steady State Heat Conduction Problem

N.S. Mera, L. Elliott, D.B. Ingham, D. Lesnic1
Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK

Computer Modeling in Engineering & Sciences 2000, 1(3), 101-106. https://doi.org/10.3970/cmes.2000.001.403

Abstract

In this paper the iterative algorithm proposed by [Kozlov and Maz'ya (1990)] for the backward heat conduction problem is extended in order to solve the Cauchy steady state heat conduction problem and the accuracy, convergence and stability of the numerical algorithm are investigated. The numerical results which are obtained confirm that this new iterative BEM procedure is accurate, convergent and stable with respect to increasing the number of boundary elements and decreasing the amount of noise which is added into the input data.

Keywords

BEM, heat conduction, Cauchy problem, iterative algorithm

Cite This Article

Mera, N., Elliott, L., Ingham, D., Lesnic, D. (2000). An Iterative Boundary Element Method for the Solution of a Cauchy Steady State Heat Conduction Problem. CMES-Computer Modeling in Engineering & Sciences, 1(3), 101–106.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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