Table of Contents
ISRN Applied Mathematics
Volume 2013, Article ID 498383, 7 pages
http://dx.doi.org/10.1155/2013/498383
Research Article

A Broken -Nonconforming Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

1Department of Mathematics, Shandong Jiaotong University, Jinan 250023, China
2College of Mathematical Science, Shandong Normal University, Jinan 250014, China

Received 10 June 2013; Accepted 31 July 2013

Academic Editors: G. Kyriacou and M. Ohlberger

Copyright © 2013 Fengxin Chen and Huanzhen Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using immersed interface finite element method for the pressure equation which is based on the broken -nonconforming piecewise linear polynomials on interface triangular elements and utilizing finite element method for the concentration equation. Error estimates for pressure in broken norm and for concentration in norm are presented.