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

Liyun Zhang and Zhangxin Chen

Journal of Applied Mathematics, 2011, vol. 2011, 1-16

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 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:129724

DOI: 10.1155/2011/129724

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