A Posteriori Error Estimates of Mixed Methods for Two Phase Flow Problems
نویسندگان
چکیده
Two phase flow problem in a porous medium is governed by a system of nonlinear equations. One is an elliptic equation for the pressure and the other is a parabolic equation for the concentration of one of the fluids. Since the pressure appears in the concentration only through its velocity field, we choose a mixed finite element to approximate the pressure equation and use the standard Galerkin method to treat the concentration equation. We shall obtain an explicit a posteriori error estimator in L2(L2) for the semi-discrete scheme of the nonlinear coupled system.
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