Copyright © 2011 Liyun Zhang and Zhangxin 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.
We present and study a stabilized mixed finite element
method for single-phase compressible flow through porous media. This
method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-order
pair for velocity and pressure (i.e., the pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates
in the -norm for both velocity and pressure are obtained. Numerical
results are given in support of the developed theory.