A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem

In this paper, we consider a decoupled and mass-conservative numerical scheme for the incompressible miscible displacement problem in porous media by employing multipoint flux mixed finite element method for velocity-pressure equation and mass-conservation characteristic finite element method for concentration equation. This feature is designed to avoid handling saddle-point system and keep mass globally. Convergence and L2 error estimates of full discrete scheme are obtained. Numerical experiments are also presented to verify the correctness of the theoretical analysis.