An Upwind-mixed Finite Element Method for Compressible Miscible Displacement
可压可溶两相驱动问题的迎风混合元方法

Consider an upwind-mixed finite element method for computing the two-phase compressible miscible displacement with dispersion in porous media. Optimal-order error estimates for concentration approximation in L2 and pressure approximation in H1 are derived. Numerical experiment proves the method is effective for avoiding numerical diffusion and nonphysical oscillations.