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A simple pressure stabilization method for the Stokes equation
Université de Pau et des Pays de l'Adour.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2008 (English)In: Communications in Numerical Methods in Engineering, ISSN 1069-8299, E-ISSN 1099-0887, Vol. 24, no 11, 1421-1430 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism.

Place, publisher, year, edition, pages
2008. Vol. 24, no 11, 1421-1430 p.
Keyword [en]
Stokes problem, equal-order interpolation, stabilization
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15823DOI: 10.1002/cnm.1041ISI: 000261200200038OAI: oai:DiVA.org:hj-15823DiVA: diva2:440331
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

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Hansbo, Peter
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