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

Liyun Zhang | Zendy; Zhangxin Chen | Zendy

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

Author(s) -

Liyun Zhang,

Zhangxin Chen

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/129724

Subject(s) - compressibility , algorithm , computer science , thermodynamics , physics

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 P1−P1 pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimatesin the L2-norm for both velocity and pressure are obtained. Numericalresults are given in support of the developed theory

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