A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
Joint Authors
Chen, Zhangxing (John)
Zhang, Liyun
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-23
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Liyun& Chen, Zhangxing (John). 2011. A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-448031
Modern Language Association (MLA)
Zhang, Liyun& Chen, Zhangxing (John). A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow. Journal of Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-448031
American Medical Association (AMA)
Zhang, Liyun& Chen, Zhangxing (John). A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-448031
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448031
