Optimal regularization of the inverse‐heat conduction problem using the L‐curve

Abstract

Solving the inverse heat conduction using Tikhonov regularization requires the selection of an optimal smoothing parameter. One popular method for choosing the smoothing parameter is the generalized cross‐validation method. This method works very well but is computationally expensive. In this paper we investigate the L‐curve method for selecting an optimal smoothing parameter. This L‐curve is easily computed and may prove very useful for large systems which preclude other methods.

Citation

Trujillo, D.M. and Busby, H.R. (1994), "Optimal regularization of the inverse‐heat conduction problem using the L‐curve", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 4 No. 5, pp. 447-452. https://doi.org/10.1108/EUM0000000004048