Browsing by Author "Zhang, Liyun"

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    A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
    (2011-01-23) Zhang, Liyun; Chen, Zhangxin
    We 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.