The error analysis of linearized modification of galerkin finite element method for numerical reservoir simulation

Abstract EN

In this paper we discuss two phase immiscible flow in porous media governed by a system of nonlinear partial differential equations raised from reservoir simulation.

Crank-Nicholson –Galerkin finite element method and lineari zed Crank-Nicolson –Galerkin finite element Predictor- corrector method are constructed respectively.

We show that the discretization error of linearized Crank-Nicholson-Galerkin method is ?(?2) , where ? refers to the time step for both schemes.