  This article is a follow up of our submitted paper [11] in which a
decomposition of the Richards equation along two soil layers was discussed. A
decomposed problem was formulated and a decoupling and linearisation technique
was presented to solve the problem in each time step in a fixed point type
iteration. This article extends these ideas to the case of two-phase in porous
media and the convergence of the proposed domain decomposition method is
rigorously shown.
