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The miscible displacement problem in porous media is modeled by a nonlinear coupled system of two partial differential equations: the pressure-velocity equation and the concentration equation. An iterative perturbation procedure is proposed and analyzed for the pressure-velocity equation, which is capable of producing as accurate a velocity approximation as the mixed finite element method, and which requires the solution of symmetric positive definite linear systems. Only the velocity variabledoi:10.1137/s1064827595282258 fatcat:mzyupdm64negnkmgjnd5fdprye