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
The penalty-free Nitsche Method and nonconforming finite elements for the Signorini problem
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
Institutionen för matematik och matematisk statistik, Umeå universitet.
2017 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 55, no 6, p. 2523-2539Article in journal (Refereed) Published
Abstract [en]

We design and analyse a Nitsche method for contact problems. Compared to the seminal work of Chouly and Hild [SIAM J. Numer. Anal., 51 (2013), pp. 1295--1307], our method is constructed by expressing the contact conditions in a nonlinear function for the displacement variable instead of the lateral forces. The contact condition is then imposed using the nonsymmetric variant of Nitsche's method that does not require a penalty term for stability. Nonconforming piecewise affine elements are considered for the bulk discretization. We prove optimal error estimates in the energy norm.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2017. Vol. 55, no 6, p. 2523-2539
Keywords [en]
Contact; Finite element; Nitsche's method; Signorini problem
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hj:diva-37817DOI: 10.1137/16M107846XISI: 000418663500001Scopus ID: 2-s2.0-85039957543OAI: oai:DiVA.org:hj-37817DiVA, id: diva2:1154644
Available from: 2017-11-03 Created: 2017-11-03 Last updated: 2018-04-24Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopusPreprint

Authority records

Hansbo, Peter

Search in DiVA

By author/editor
Hansbo, Peter
By organisation
JTH, Product DevelopmentJTH. Research area Product Development - Simulation and Optimization
In the same journal
SIAM Journal on Numerical Analysis
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 288 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