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

Liyun Zhang and Zhangxin Chen

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

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 P1 − P1 pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates in the L2‐norm for both velocity and pressure are obtained. Numerical results are given in support of the developed theory.

Date: 2011
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https://doi.org/10.1155/2011/129724

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:129724

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