  A new hybrid mixed discontinuous Galerkin finite element (HMDGFE) method is
constructed for incompressible miscible displacement problem. In this method,
the hybrid mixed finite element (HMFE) procedure is considered to solve
pressure and velocity equations, and a new hybrid mixed discontinuous Galerkin
procedure is constructed to solve the concentration equation with upwind
technique. Compared with other traditional discontinuous Galerkin methods, the
new method can reach global systems with less unknowns and sparser stencils.
The consistency and conservation of the method are analyzed, the stability and
optimal error estimates are also derived by the new technique.
