A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
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Boundary Value Problems 2011, 2011:48 doi:10.1186/1687-2770-2011-48Published: 25 November 2011
A new fully discrete stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement problem. For the pressure equation, we develop a mixed, stabilized, discontinuous Galerkin formulation. We can obtain the optimal priori estimates for both concentration and pressure.