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A cut finite element method with boundary value correction for the incompressible Stokes equations
UCL, Department of Mathematics, London, United Kingdom.
Jönköping University, School of Engineering, JTH, Materials and Manufacturing.ORCID iD: 0000-0001-7352-1550
Umeå Universitet, Department of Mathematics and Mathematical Statistics, Umeå, Sweden.
2019 (English)In: Numerical mathematics and advanced applications ENUMATH 2017, Cham: Springer, 2019, Vol. 126, p. 183-192Conference paper, Published paper (Refereed)
Abstract [en]

We design a cut finite element method for the incompressible Stokes equations on domains with curved boundary. The cut finite element method allows for the domain boundary to cut through the elements of the computational mesh in a very general fashion. To further facilitate the implementation we propose to use a piecewise affine discrete domain even if the physical domain has curved boundary. Dirichlet boundary conditions are imposed using Nitsche’s method on the discrete boundary and the effect of the curved physical boundary is accounted for using the boundary value correction technique introduced for cut finite element methods in Burman et al. (Math Comput 87(310):633–657, 2018). 

Place, publisher, year, edition, pages
Cham: Springer, 2019. Vol. 126, p. 183-192
Series
Lecture Notes in Computational Science and Engineering, ISSN 14397358 ; 126
Keywords [en]
Boundary conditions, Navier Stokes equations, Computational mesh, Correction techniques, Curved boundary, Dirichlet boundary condition, Discrete boundaries, Discrete domains, Incompressible Stokes equation, Piecewise affines, Finite element method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-42799DOI: 10.1007/978-3-319-96415-7_15Scopus ID: 2-s2.0-85060026956ISBN: 9783319964140 (print)ISBN: 9783319964157 (electronic)OAI: oai:DiVA.org:hj-42799DiVA, id: diva2:1284685
Conference
European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norway, 25 - 29 September 2017
Available from: 2019-02-01 Created: 2019-02-01 Last updated: 2019-02-15Bibliographically approved

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Hansbo, Peter

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CiteExportLink to record
Permanent link

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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
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf