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CutIGA with basis function removal
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)ORCID iD: 0000-0001-7838-1307
2018 (English)In: Advanced Modeling and Simulation in Engineering Sciences, ISSN 2213-7467, Vol. 5, no 6Article in journal (Refereed) Published
Abstract [en]

We consider a cut isogeometric method, where the boundary of the domain is allowed to cut through the background mesh in an arbitrary fashion for a second order elliptic model problem. In order to stabilize the method on the cut boundary we remove basis functions which have small intersection with the computational domain. We determine criteria on the intersection which guarantee that the order of convergence in the energy norm is not affected by the removal. The higher order regularity of the B-spline basis functions leads to improved bounds compared to standard Lagrange elements.

Place, publisher, year, edition, pages
Springer, 2018. Vol. 5, no 6
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-145669DOI: 10.1186/s40323-018-0099-2OAI: oai:DiVA.org:umu-145669DiVA, id: diva2:1190148
Available from: 2018-03-13 Created: 2018-03-13 Last updated: 2018-06-09Bibliographically approved

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Elfverson, DanielLarson, Mats G.Larsson, Karl

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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
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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