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
Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
University of Sussex.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2010 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 199, no 41-44, p. 2680-2686Article in journal (Refereed) Published
Abstract [en]

We propose a fictitious domain method where the mesh is cut by the boundary. The primal solution is computed only up to the boundary; the solution itself is defined also by nodes outside the domain, but the weak finite element form only involves those parts of the elements that are located inside the domain. The multipliers are defined as being element-wise constant on the whole (including the extension) of the cut elements in the mesh defining the primal variable. Inf-sup stability is obtained by penalizing the jump of the multiplier over element faces. We consider the case of a polygonal domain with possibly curved boundaries. The method has optimal convergence properties.

Place, publisher, year, edition, pages
2010. Vol. 199, no 41-44, p. 2680-2686
Keyword [en]
Interior penalty, Fictitious domain, Finite element
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15820DOI: 10.1016/j.cma.2010.05.011ISI: 000284676500006OAI: oai:DiVA.org:hj-15820DiVA: diva2:440335
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: 315 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