Bezier splines and sensitivity analysis use for inverse boundary-geometrical problems

The paper discusses 2-D numerical solution of the inverse boundaiy-geometrical thermal problem consisting of an estimation of the boundary conditions and the position of the phase change in continuous casting process. Sińce this location is, generally, unknown and the mathematical description ofthe problem is not complete, the problem cannot be solved without considering thermal measurements (missing information needs to be replaced by measurements). In order to demonstrate the main advantages ofthe developed formulation, continuous casting of alloy of aluminium was considered as numerical example of inverse thermal anałysis. The results obtained were compared with the experiments and results acquired from other authors.