A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
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2011-01-23
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Abstract
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.
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Liyun Zhang and Zhangxin Chen, “A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow,” Journal of Applied Mathematics, vol. 2011, Article ID 129724, 16 pages, 2011. doi:10.1155/2011/129724