SIAM Journal on Numerical Analysis, volume 55, issue 6, pages 2523-2539

The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem

Erik Burman
Peter Hansbo
Mats G. Larson
Publication typeJournal Article
Publication date2017-11-02
scimago Q1
SJR2.163
CiteScore4.8
Impact factor2.8
ISSN00361429, 10957170
Computational Mathematics
Applied Mathematics
Numerical Analysis
Abstract
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.
Found 
Found 

Top-30

Journals

1
2
1
2

Publishers

1
2
3
4
5
1
2
3
4
5
  • We do not take into account publications without a DOI.
  • Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
  • Statistics recalculated weekly.

Are you a researcher?

Create a profile to get free access to personal recommendations for colleagues and new articles.
Share
Cite this
GOST | RIS | BibTex | MLA
Found error?