Least-squares expanded mixed finite element method for incompressible miscible displacement problem in porous media

Abstract

In this paper, an approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using least-squares expanded mixed finite element method for pressure equation and finite element method for concentration equation. This method inherits all the advantages of least-squares and expanded mixed finite element method. Optimal order error estimates are proved under some suitable regularity hypotheses. © Springer-Verlag 2012.