Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Edge stabilization for the generalized Stokes problem: A continuous interior penalty method
Ecole Polytechnique Fédérale de Lausanne.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2006 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 195, no 19-22, p. 2393-2410Article in journal (Refereed) Published
Abstract [en]

In this note we introduce and analyze a stabilized finite element method for the generalized Stokes equation. Stability is obtained by adding a least squares penalization of the gradient jumps across element boundaries. The method can be seen as a higher order version of the Brezzi-Pitkdranta penalty stabilization [F. Brezzi, J. Pitkaranta, On the stabilization of finite element approximations of the Stokes equations, in: W. Hackbusch (Ed.), Efficient Solution of Elliptic Systems, Vieweg, 1984], but gives better resolution on the boundary for the Stokes equation than does classical Galerkin least-squares formulation. We prove optimal and quasi-optimal convergence properties for Stokes' problem and for the porous media models of Darcy and Brinkman. Some numerical examples are given.

Place, publisher, year, edition, pages
2006. Vol. 195, no 19-22, p. 2393-2410
Keywords [en]
generalized Stokes' equation, stabilized methods, finite element, interior penalty method, gradient jumps, inf-sup condition
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15828DOI: 10.1016/j.cma.2005.05.009ISI: 000236488700011OAI: oai:DiVA.org:hj-15828DiVA, id: diva2:440322
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Hansbo, Peter

Search in DiVA

By author/editor
Hansbo, Peter
By organisation
JTH. Research area Product Development - Simulation and Optimization
In the same journal
Computer Methods in Applied Mechanics and Engineering
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 321 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf