A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media
نویسندگان
چکیده
A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are derived.
منابع مشابه
A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media
A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0, T ;L) for concentration c, in L(0, T ;L) for cx and L ∞(0, T ;L) for velocity u are derived. The main technical difficulties in the...
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