Stable finite element methods for the Stokes problem

Yongdeok Kim and Sungyun Lee

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-16

Abstract:

The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross-grid P k − P k − 1 elements, k ≥ 1 , using discontinuous pressures. The P k + − P k − 1 elements are also analyzed. We prove the stability of the scheme using the macroelement technique. The order of convergence follows from the standard theory of mixed methods. The macroelement technique can also be applicable to the stability analysis for some higher order methods using continuous pressures such as Taylor-Hood methods, cross-grid methods, or iso-grid methods.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/24/764725.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/24/764725.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:764725

DOI: 10.1155/S0161171200002908

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().