Abstract: This paper considers the uumerical method and error analyses for two phase incompresaible miscible displacement in porous media.A time-stepping procedure is introduced using Sckwarz domain decomposition algorithm with eded element for the pressure equation and with finite dement for concentration equation. The author has analysed the relationship between convergence rates and discretization parameters,optimal order error estimates are derived under certain constraintes about the discretisation parameters.It is shown that the constraintes can be satisfied by the natural choices of these parameters.

Key words: Scharz algorithm, convergence analyses, error estimates