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International Heat Transfer Conference 12

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A comparison of different regularization methods for a Laplace equation Cauchy problem

Nicolae Severian Mera
Department of Applied Mathematics, Energy and Resources Research Institute, University of Leeds, Leeds LS2 9JT, UK

Lionel Elliott
Department of Applied Mathematical Studies, The University of Leeds, Leeds LS2 9JT, West Yorkshire, England.

Derek B. Ingham
Centre for CFD, Department of Applied Mathematical Studies, The University of Leeds, Leeds, LS2 9JT, UK; Energy-2050, Faculty of Engineering, University of Sheffield, Sheffield, S10 2TN, UK

Daniel Lesnic
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK

DOI: 10.1615/IHTC12.140
6 pages

要約

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 isotropic 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 may be substantially improved by using the appropriate method.

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