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

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dc.contributor.authorZhang, Liyun
dc.contributor.authorChen, Zhangxin
dc.date.accessioned2018-09-27T12:01:01Z
dc.date.available2018-09-27T12:01:01Z
dc.date.issued2011-01-23
dc.date.updated2018-09-27T12:01:00Z
dc.description.abstractWe 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.
dc.description.versionPeer Reviewed
dc.identifier.citationLiyun 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
dc.identifier.doihttps://doi.org/10.1155/2011/129724
dc.identifier.urihttp://hdl.handle.net/1880/108434
dc.identifier.urihttps://doi.org/10.11575/PRISM/45899
dc.language.rfc3066en
dc.rights.holderCopyright © 2011 Liyun Zhang and Zhangxin Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.titleA Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
dc.typeJournal Article
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