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Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
Jönköping University, School of Engineering, JTH, Mechanical Engineering. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2011 (English)Report (Other academic)
Abstract [en]

We extend our results on fictitious domain methods for Poisson’s problem to the case of incompressible elasticity, or Stokes’ problem. The mesh is not fitted to the domain boundary. Instead boundary conditions are imposed using a stabilized Nitsche type approach. Control of the non-physical degrees of freedom, i.e., those outside the physical domain, is obtained thanks to a ghost penalty term for both velocities and pressures. Both inf–sup stable and stabilized velocity pressure pairs are considered.

Place, publisher, year, edition, pages
2011. , 20 p.
Series
JTH research report, ISSN 1404-0018 ; 2011:06
Keyword [en]
finite element methods, stabilized methods, penalty methods, Stokes’ problem, fictitious domain
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-16968OAI: oai:DiVA.org:hj-16968DiVA: diva2:469219
Available from: 2012-01-17 Created: 2011-12-22 Last updated: 2012-02-06Bibliographically approved

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2011-06.pdf(1268 kB)658 downloads
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • 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