A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction

A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction In this paper, various regularization methods are numerically implemented using the boundary element method (BEM) in order to solve the Cauchy steady‐state heat conduction problem in an anisotropic medium. The convergence and the stability of the numerical methods are investigated and compared. The numerical results obtained confirm that stable numerical results can be obtained by various regularization methods, but if high accuracy is required for the temperature, or if the heat flux is also required, then care must be taken when choosing the regularization method since the numerical results are substantially improved by choosing the appropriate method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction

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Publisher
Emerald Publishing
Copyright
Copyright © 2003 MCB UP Ltd. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615530310482436
Publisher site
See Article on Publisher Site

Abstract

In this paper, various regularization methods are numerically implemented using the boundary element method (BEM) in order to solve the Cauchy steady‐state heat conduction problem in an anisotropic medium. The convergence and the stability of the numerical methods are investigated and compared. The numerical results obtained confirm that stable numerical results can be obtained by various regularization methods, but if high accuracy is required for the temperature, or if the heat flux is also required, then care must be taken when choosing the regularization method since the numerical results are substantially improved by choosing the appropriate method.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Aug 1, 2003

Keywords: Boundary element method; Heat conduction

References

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