Zhang, LiyunChen, Zhangxin2018-09-272018-09-272011-01-23Liyun Zhang and Zhangxin Chen, “A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow,” Journal of Applied Mathematics, vol. 2011, Article ID 129724, 16 pages, 2011. doi:10.1155/2011/129724http://hdl.handle.net/1880/108434https://doi.org/10.11575/PRISM/45899We present and study a stabilized mixed finite elementmethod for single-phase compressible flow through porous media. Thismethod is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-orderpair for velocity and pressure (i.e., the pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimatesin the -norm for both velocity and pressure are obtained. Numericalresults are given in support of the developed theory.Journal Article2018-09-27enCopyright © 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.https://doi.org/10.1155/2011/129724