A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow

作者:Zhang Liyun; Chen Zhangxin*
来源:Journal of Applied Mathematics, 2011, 129724.
DOI:10.1155/2011/129724

摘要

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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