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CutFEM: a stabilised Nitsche XFEM method for multi-physics problems
University College London.
University College London.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.ORCID iD: 0000-0003-0803-9041
2015 (English)In: Proceedings of the 23rd Conference on Computational Mechanics / [ed] Antonio J. Gil, Rubén Sevilla, Swansea: Swansea University , 2015, 171-174 p.Conference paper, (Refereed)
Abstract [en]

In this communication, we will give an overview over CutFEM, a new stabilised XFEM technique. Here, different PDEs are coupled across an interface, that intersects a fixed background mesh in an arbitrary manner. The boundary conditions on the interface are enforced using Nitsche-type coupling conditions [1]. Nitsche’s method offers a flexible approach to design XFEM methods that is amenable to analysis. Classically, XFEM methods suffer from ill-conditioning if the interface intersects elements close to element nodes leaving only small parts of the element covered by the physical domain. In our method, we overcome this major difficulty, by adding ghost-penalty terms to the variational formulation over the band of elements that are cut by the interface [3, 4]. In this contribution, we will illustrate the usage of CutFEM on the three field Stokes problem.

Place, publisher, year, edition, pages
Swansea: Swansea University , 2015. 171-174 p.
Keyword [en]
Nitsche’s method, XFEM, multi-physics problems, ghost penalty, three field Stokes
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-130971ISBN: 9780956746245 (print)OAI: oai:DiVA.org:umu-130971DiVA: diva2:1070645
Conference
23rd Conference on Computational Mechanics, ACME 2015, 8-10 April 2015, Swansea, Wales, UK
Available from: 2017-02-01 Created: 2017-02-01 Last updated: 2017-02-01Bibliographically approved

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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
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Output format
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  • text
  • asciidoc
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