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
A unified stabilized method for Stokes' and Darcy's equations
Ecole Polytechnique Fédérale de Lausanne.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2007 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, Vol. 198, no 1, 35-51 p.Article in journal (Refereed) Published
Abstract [en]

We use the lowest possible approximation order, piecewise linear, continuous velocities and piecewise constant pressures to compute solutions to Stokes equation and Darcy's equation, applying an edge stabilization term to avoid locking. We prove that the formulation satisfies the discrete inf-sup condition, we prove an optimal a priori error estimate for both problems. The formulation is then extended to the coupled case using a Nitsche-type weak formulation allowing for different meshes in the two subdomains. Finally, we present some numerical examples verifying the theoretical predictions and showing the flexibility of the coupled approach.

Place, publisher, year, edition, pages
2007. Vol. 198, no 1, 35-51 p.
Keyword [en]
Stokes' equation, Darcy's equation, stabilized methods, finite element, interior penalty method, Nitsche's method, domain decomposition, inf-sup condition
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15826DOI: 10.1016/j.cam.2005.11.022ISI: 000241177100003OAI: oai:DiVA.org:hj-15826DiVA: diva2:440326
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Hansbo, Peter
By organisation
JTH. Research area Product Development - Simulation and Optimization
In the same journal
Journal of Computational and Applied Mathematics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 335 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