Open Access
2011 A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
Liyun Zhang, Zhangxin Chen
J. Appl. Math. 2011(SI1): 1-16 (2011). DOI: 10.1155/2011/129724
Abstract

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 P 1 - P 1 pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates in the L 2 -norm for both velocity and pressure are obtained. Numerical results are given in support of the developed theory.

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Copyright © 2011 Hindawi
Liyun Zhang and Zhangxin Chen "A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow," Journal of Applied Mathematics 2011(SI1), 1-16, (2011). https://doi.org/10.1155/2011/129724
Published: 2011
Vol.2011 • No. SI1 • 2011
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