Álvarez Contreras, JesúsOujja, Rachid2023-06-202023-06-202004-01-260096-300310.1016/S0096-3003(02)00856-1https://hdl.handle.net/20.500.14352/49558A 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 provide the convergence of the approximated solution is obtained. Finally, some numerical test examples are presented to illustrate the good performance of the method.engA new numerical approach of a lubrication free boundary problemjournal articlehttp://www.sciencedirect.com/science/journal/00963003open access519.61Cavitation theoryFree boundary problemNumerical solutionAnálisis numérico1206 Análisis Numérico