Superconvergence for a time-discretization procedure for the mixed finite element approximation of miscible displacement in porous media

摘要

A time-stepping procedure is established and analyzed for the problem of miscible displacement in porous medium. The fluid velocity based on mixed element method is post-processed by interpolation along Gauss lines. Error analysis shows that this procedure has a superconvergence error bound O(h _p ~(r+2)) with respect to the parameter h _p, which is one order higher than the conventional Galerkin or mixed finite element procedures. Compared with the results in the references, the parameter constraint conditions in this article are obviously relaxed.