V. Barbu et al., CONTROL AND ESTIMATION OF THE BOUNDARY HEAT-TRANSFER FUNCTION IN STEFAN-PROBLEMS, Modelisation mathematique et analyse numerique, 30(6), 1996, pp. 671-710
An approximation procedure for the identification of a nonlinear bound
ary heat transfer function in a one phase Stefan problem is presented.
Alternatively the problem can be viewed as constructing a feedback co
ntrol law for the control of the solidification surface in the Stefan
problem. The analysis is based on Hilbert space methods and convex ana
lysis techniques. Numerical results combining two regularization metho
ds are presented.