ISSN Online: 2377-424X
International Heat Transfer Conference 12
A comparison of different regularization methods for a Laplace equation Cauchy problem
Sinopsis
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.