umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
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
A Nitsche method for elliptic problems on composite surfaces
Jönköping University.
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.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)ORCID iD: 0000-0001-7838-1307
2017 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 326, p. 505-525Article in journal (Refereed) Published
Abstract [en]

We develop a finite element method for elliptic partial differential equations on so called composite surfaces that are built up out of a finite number of surfaces with boundaries that fit together nicely in the sense that the intersection between any two surfaces in the composite surface is either empty, a point, or a curve segment, called an interface curve. Note that several surfaces can intersect along the same interface curve. On the composite surface we consider a broken finite element space which consists of a continuous finite element space at each subsurface without continuity requirements across the interface curves. We derive a Nitsche type formulation in this general setting and by assuming only that a certain inverse inequality and an approximation property hold we can derive stability and error estimates in the case when the geometry is exactly represented. We discuss several different realizations, including so called cut meshes, of the method. Finally, we present numerical examples.

Place, publisher, year, edition, pages
Lausanne: Elsevier, 2017. Vol. 326, p. 505-525
Keywords [en]
Nitsche method, Composite surfaces, Laplace-Beltrami operator, A priori error estimates
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-139526DOI: 10.1016/j.cma.2017.08.033ISI: 000413322300022OAI: oai:DiVA.org:umu-139526DiVA, id: diva2:1141674
Funder
Swedish Research Council, 2011-4992Swedish Research Council, 2013-4708eSSENCE - An eScience CollaborationSwedish Foundation for Strategic Research , AM13-0029Available from: 2017-09-15 Created: 2017-09-15 Last updated: 2018-06-09Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Jonsson, TobiasLarson, Mats G.Larsson, Karl

Search in DiVA

By author/editor
Jonsson, TobiasLarson, Mats G.Larsson, Karl
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
Computer Methods in Applied Mechanics and Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 82 hits
CiteExportLink to record
Permanent link

Direct link
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