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An Iterative Boundary Element Method for the Solution of a Cauchy Steady State Heat Conduction Problem
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
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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
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APA Style
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. Computer Modeling in Engineering & Sciences, 1(3), 101-106. https://doi.org/10.3970/cmes.2000.001.403
Vancouver Style
Mera N, Elliott L, Ingham D, Lesnic D. An iterative boundary element method for the solution of a cauchy steady state heat conduction problem. Comput Model Eng Sci. 2000;1(3):101-106 https://doi.org/10.3970/cmes.2000.001.403
IEEE Style
N. Mera, L. Elliott, D. Ingham, and D. Lesnic, “An Iterative Boundary Element Method for the Solution of a Cauchy Steady State Heat Conduction Problem,” Comput. Model. Eng. Sci., vol. 1, no. 3, pp. 101-106, 2000. https://doi.org/10.3970/cmes.2000.001.403
Copyright © 2000 The Author(s). Published by Tech Science Press.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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