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

[摘要] 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., theP1−P1pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimatesin theL2-norm for both velocity and pressure are obtained. Numericalresults are given in support of the developed theory.

[学科分类] 应用数学