%0 Journal Article %A Álvarez Contreras, Jesús %A Oujja, Rachid %T A new numerical approach of a lubrication free boundary problem %D 2004 %@ 0096-3003 %U https://hdl.handle.net/20.500.14352/49558 %X A combination of a semidiscretized scheme and an iterative method is applied to a free boundary problem. The considered problem is issued from a cavitation model in lubrication theory and treats on the determination of the cavitation area. Estimates L∞(Ω) which providethe convergence of the approximated solution is obtained. Finally, some numerical test examples are presented to illustrate the good performance of the method. %~