A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
1 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China
2 School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China
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.